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Noether Theorem for Generalized Birkhoffian Systems with Time Delay 被引量:3
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作者 Zhai Xianghua Zhang Yi 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2018年第3期507-515,共9页
The Noether symmetries and the conserved quantities for generalized Birkhoffian systems with time delay are studied.Firstly,the generalized Pfaff-Birkhoff principle with time delay is proposed,and the generalized Birk... The Noether symmetries and the conserved quantities for generalized Birkhoffian systems with time delay are studied.Firstly,the generalized Pfaff-Birkhoff principle with time delay is proposed,and the generalized Birkhoff's equations with time delay are obtained.Secondly,the generalized Noether quasi-symmetric transformations of the system are defined,and the criterion of the Noether symmetries is established.Then the Noether theorem for generalized Birkhoffian systems with time delay is established.Finally,by imposing restrictions of constraints on the infinitesimal transformations,the Noether theorem of constrained Birkhoffian systems with time delay is established.One example is given to illustrate the application of the results. 展开更多
关键词 time delay generalized Birkhoffian system Noether symmetry conserved quantity
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NGP_G-STABILITY OF LINEAR MULTISTEP METHODS FOR SYSTEMS OF GENERALIZED NEUTRAL DELAY DIFFERENTIAL EQUATIONS 被引量:1
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作者 CONG Yu-hao(丛玉豪) 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第7期827-835,共9页
The stability analysis of linear multistep methods for the numerical solutions of the systems of generalized neutral delay differential equations is discussed. The stability behaviour of linear multistep methods was a... The stability analysis of linear multistep methods for the numerical solutions of the systems of generalized neutral delay differential equations is discussed. The stability behaviour of linear multistep methods was analysed for the solution of the generalized system of linear neutral test equations, After the establishment of a sufficient condition for asymptotic stability of the solutions of the generalized system, it is shown that a linear multistep method is NGP(G)-stable if and only if it is A-stable. 展开更多
关键词 generalized neutral delay differential system asymptotic stability linear multistep methods NGP(G)-stability
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Robust Continuous-time Generalized Predictive Control for Large Time-delay System
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作者 魏环 潘立登 甄新平 《Journal of Donghua University(English Edition)》 EI CAS 2008年第5期511-516,共6页
A simple delay-predictive continuous-time generalized predictive controller with filter (F-SDCGPC) is proposed. By using modified predictive output signal and cost function, the delay compensator is incorporated in th... A simple delay-predictive continuous-time generalized predictive controller with filter (F-SDCGPC) is proposed. By using modified predictive output signal and cost function, the delay compensator is incorporated in the control law with observer structure, and a filter is added for enhancing robustness. The design of filter does not affect the nominal set-point response, and it is more flexible than the design of observer polynomial. The analysis and simulation results show that the F-SDCGPC has better robustness than the observer structure without filter when large time-delay error is considered. 展开更多
关键词 continuous-time generalized predictive control observer polynomial filter delay predictive ROBUSTNESS
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Stability and Stabilization on Generalized Delay Stochastic Neural Network with Distributed Parameter
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作者 LUO Qi DENG Fei-qi BAO Jun-dong 《Wuhan University Journal of Natural Sciences》 EI CAS 2005年第5期823-827,共5页
Inner stability and stabilization of Cohen-Grossberg generalized delay stochastic neural network with distributed parameter are discussed. The main method adopted is, combining inequality techniques, to apply Ito diff... Inner stability and stabilization of Cohen-Grossberg generalized delay stochastic neural network with distributed parameter are discussed. The main method adopted is, combining inequality techniques, to apply Ito differential formula to the constructed average function with respect to spatial variables along the system considered under the integral operator. Some sufficient conditions are given. 展开更多
关键词 distributed parameter generalized delay stochastic neural network stability and stabilization
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Adaptive Generalized Synchronization of Drive-Response Neural Networks with Time-Varying Delay
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作者 Lirong Zhu 《Applied Mathematics》 2022年第1期19-26,共8页
This paper studies the generalized synchronization of a class of drive-response neural networks with time-varying delay. When the topological structures of the drive-response neural networks are known, by designing an... This paper studies the generalized synchronization of a class of drive-response neural networks with time-varying delay. When the topological structures of the drive-response neural networks are known, by designing an appropriate nonlinear adaptive controller, the generalized synchronization of these two networks is obtained based on Lyapunov stability theory and LaSalle’s invariance principle. 展开更多
关键词 generalized Synchronization Drive-Response Neural Network Time-Varying delay Adaptive Controller
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Active disturbance rejection controller for flutter suppression with time-varying delay
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作者 Zhiqiang Chen Chaoyang Zhai +3 位作者 Xiang Li Xiaolu Wang Zhanhe Liu Xinzhe Zhang 《Advances in Aerodynamics》 2025年第3期87-117,共31页
Current research on active flutter suppression considering time delays tends to focus on fixed time delays.To address situations where the control loop may experience time-varying delays with uncertainty,a time-varyin... Current research on active flutter suppression considering time delays tends to focus on fixed time delays.To address situations where the control loop may experience time-varying delays with uncertainty,a time-varying-delay Active Disturbance Rejection Control(TVD-ADRC)is proposed.First,a parameterized unsteady aerodynamic reduced-order model(ROM)based on a long short-term memory network is introduced into the aeroservoelastic modeling.This model is applied to predict unsteady aerodynamic forces and aeroservoelastic(ASE)behaviors across a wide range of Mach numbers.Its effectiveness in capturing the characteristics of unsteady aerodynamics is validated through comparisons with the high-fid elity computational fluid dynamics(CFD)simulations.Second,the proposed method integrates ADRC with a delayed input and a time-d elay identification module in the controller design.Specifically,the timevarying delay is identified using the cross-correlation function method with a moving window,and this method dynamically updates the time-delay compensation module.Additionally,a genetic algorithm is employed to optimize controller parameters,and the integral of the time-weighted absolute error is selected as the performance evaluation index for the control system.Finally,a three-degree-of-freedom aeroservoelastic system of an airfoil with a trailing-edge control surface is studied for flutter suppression.Flutter control under uncertain time-varying delays during flutter occurrence is investigated,and the impact of the magnitude of the time delay on the effectiveness of the flutter control is analyzed.Simulation results indicate that the proposed TVDADRC controller could effectively suppress the aeroelastic instabilities across a wide range of Mach numbers and effectively counteract the negative effects of time-varying delays. 展开更多
关键词 Flutter suppression Time-varying delay Active disturbance rejection control Parameterized reduced-order modeling cross-correlation function
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Consensus-Based Distributed Control with Communication Time Delays for Virtual Synchronous Generators in Isolate Microgrid 被引量:1
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作者 Laijun Chen Yuyang Wang +1 位作者 Tianwen Zheng Zhenquan Sun 《Energy and Power Engineering》 2017年第4期102-111,共10页
A consensus-based distributed control method of coordinated VSGs with communication time delays in isolate microgrid is proposed. When time delays are considered in communication, there are some effects on frequency r... A consensus-based distributed control method of coordinated VSGs with communication time delays in isolate microgrid is proposed. When time delays are considered in communication, there are some effects on frequency restoration and active power output allocation. In the control structure, only local information exchange is needed, while the final frequency can be controlled to the nominal value and the VSGs can automatically share loads according to their rated values. An AC microgrid with three VSGs and some loads is implemented. The proposed control strategy is verified by MATLAB/ Simulink simulation results. 展开更多
关键词 Virtual SYNCHRONOUS generator Time delayS Distributed Control CONSENSUS Algorithm
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THE ASYMPTOTIC BEHAVIOR AND OSCILLATION FOR A CLASS OF THIRD-ORDER NONLINEAR DELAY DYNAMIC EQUATIONS
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作者 黄先勇 邓勋环 王其如 《Acta Mathematica Scientia》 SCIE CSCD 2024年第3期925-946,共22页
In this paper,we consider a class of third-order nonlinear delay dynamic equations.First,we establish a Kiguradze-type lemma and some useful estimates.Second,we give a sufficient and necessary condition for the existe... In this paper,we consider a class of third-order nonlinear delay dynamic equations.First,we establish a Kiguradze-type lemma and some useful estimates.Second,we give a sufficient and necessary condition for the existence of eventually positive solutions having upper bounds and tending to zero.Third,we obtain new oscillation criteria by employing the Potzsche chain rule.Then,using the generalized Riccati transformation technique and averaging method,we establish the Philos-type oscillation criteria.Surprisingly,the integral value of the Philos-type oscillation criteria,which guarantees that all unbounded solutions oscillate,is greater than θ_(4)(t_(1),T).The results of Theorem 3.5 and Remark 3.6 are novel.Finally,we offer four examples to illustrate our results. 展开更多
关键词 nonlinear delay dynamic equations NONOSCILLATION asymptotic behavior Philostype oscillation criteria generalized Riccati transformation
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Influences of noise correlation and time delay on stochastic resonance induced by multiplicative signal in a cancer growth system 被引量:5
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作者 贾正林 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第2期113-118,共6页
This paper investigates the stochastic resonance (SR) phenomenon induced by the multiplicative periodic signal in a cancer growth system with the cross-correlated noises and time delay. To describe the periodic chan... This paper investigates the stochastic resonance (SR) phenomenon induced by the multiplicative periodic signal in a cancer growth system with the cross-correlated noises and time delay. To describe the periodic change of the birth rate due to the periodic treatment, a multiplicative periodic signal is added to the system. Under the condition of small delay time, the analytical expression of the signal-to-noise ratio RSNR is derived in the adiabatic limit. By numerical calculation, the effects of the cross-correlation strength λ and the delay time τ on RSNR are respectively discussed. The existence of a peak in the curves of RSNR as a function of the noise intensities indicates the occurrence of the SR phenomenon. It is found that λ and τ play opposite role on the SR phenomenon, i.e., the SR is suppressed by increasing λ whereas it is enhanced with the increase of τ, which is different from the case where the periodic signal is additive. 展开更多
关键词 time delay cross-correlated noise stochastic resonance cancer growth system
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Fault detection and optimization for networked control systems with uncertain time-varying delay 被引量:2
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作者 Qing Wang Zhaolei Wang +1 位作者 Chaoyang Dong Erzhuo Niu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2015年第3期544-556,共13页
The observer-based robust fault detection filter design and optimization for networked control systems (NOSs) with uncer- tain time-varying delays are addressed. The NCSs with uncertain time-varying delays are model... The observer-based robust fault detection filter design and optimization for networked control systems (NOSs) with uncer- tain time-varying delays are addressed. The NCSs with uncertain time-varying delays are modeled as parameter-uncertain systems by the matrix theory. Based on the model, an observer-based residual generator is constructed and the sufficient condition for the existence of the desired fault detection filter is derived in terms of the linear matrix inequality. Furthermore, a time domain opti- mization approach is proposed to improve the performance of the fault detection system. To prevent the false alarms, a new thresh- old function is established, and the solution of the optimization problem is given by using the singular value decomposition (SVD) of the matrix. A numerical example is provided to illustrate the effectiveness of the proposed approach. 展开更多
关键词 fault detection networked control systems residual generator time-varying delay time domain optimization approach.
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Delay-dependent stability and stabilization criteria of networked control systems with multiple time-delays 被引量:2
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作者 Huaicheng YAN Xinhan HUANG Min WANG 《控制理论与应用(英文版)》 EI 2006年第4期321-326,共6页
This paper deals with the problem of delay-dependent stability and stabilization for networked control systems(NCSs)with multiple time-delays. In view of multi-input and multi-output(MIMO) NCSs with many independe... This paper deals with the problem of delay-dependent stability and stabilization for networked control systems(NCSs)with multiple time-delays. In view of multi-input and multi-output(MIMO) NCSs with many independent sensors and actuators, a continuous time model with distributed time-delays is proposed. Utilizing the Lyapunov stability theory combined with linear matrix inequalities(LMIs) techniques, some new delay-dependent stability criteria for NCSs in terms of generalized Lyapunov matrix equation and LMIs are derived. Stabilizing controller via state feedback is formulated by solving a set of LMIs. Compared with the reported methods, the proposed methods give a less conservative delay bound and more general results. Numerical example and simulation show that the methods are less conservative and more effective. 展开更多
关键词 Networked control systems(NCSs) delay-dependent stability generalized Lyapunov matrix equation Linear matrix inequalities (LMIs) Networked-induced delay Maximum allowable delay bound(MADB)
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Influence of dc Component during Inadvertent Operation of the High Voltage Generator Circuit Breaker during Mis-Synchronization 被引量:2
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作者 Kadri Kadriu Ali Gashi +2 位作者 Ibrahim Gashi Ali Hamiti Gazmend Kabashi 《Energy and Power Engineering》 2013年第3期225-235,共11页
This paper analyses the synchronization problem of a generator onto power system without satisfying synchronization condition. The main focus of the paper is on the impact of the dc component of the current in the hig... This paper analyses the synchronization problem of a generator onto power system without satisfying synchronization condition. The main focus of the paper is on the impact of the dc component of the current in the high voltage circuit breaker during its close-open operating cycle. Using real time measurements of currents/voltages and angles during the close-opening cycle of high voltage generator circuit breaker and the impact of the dc component of current in context of interrupting large magnitude of current from the circuit breaker. In addition, the paper describes a study case model and the results of simulations performed using the software EMTP-ATP of an actual incident that occurred during the inadvertent synchronization of a large 339 MW, 24 kV generator to the grid. 展开更多
关键词 High Voltage generATOR Circuit BREAKER dc Component of CURRENT ASYNCHRONOUS Connection delay CURRENT ZERO
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Weighting Function Modification Used for Phase Transform-Based Time Delay Estimation 被引量:1
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作者 Xue Yang Changchun Bao Zihao Cui 《China Communications》 SCIE CSCD 2022年第11期241-256,共16页
Generalized cross-correlation is considered as the most straightforward time delay estimation algorithm.Depending on various weighting function,different methods were derived and a straightforward method,named phase t... Generalized cross-correlation is considered as the most straightforward time delay estimation algorithm.Depending on various weighting function,different methods were derived and a straightforward method,named phase transform(PHAT)has been widely used.PHAT is well-known for its robustness to reverberation and its sensitivity to noise,which is partly due to the fact that PHAT distributes same weights to the frequencies dominated by signal or noise.To alleviate this problem,two weighting functions are proposed in this paper.By taking a posteriori signal-to-noise ratio(SNR)into account to classify reliable and unreliable frequencies,different weights could be assigned.The first proposed weighting function borrows the idea of binary mask and distributes same weights to frequencies in same set,whereas,the second one assigns weights based on coherence function.Experiments showed the robustness of proposed methods to reverberation and noise for improving the performance of time delay estimation through various criteria. 展开更多
关键词 time delay estimation generalized crosscorrelation PHAT a posteriori SNR coherence function
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Influence of the time delay of signal transmission on synchronization conditions in drive-response systems 被引量:1
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作者 Bin Zhen Jian Xu 《Theoretical & Applied Mechanics Letters》 CAS 2013年第6期25-28,共4页
Conditions for complete and lag synchronizations in drive-response systems are considered under the unified framework of generalized synchronization. The question is addressed that whether the synchronization conditio... Conditions for complete and lag synchronizations in drive-response systems are considered under the unified framework of generalized synchronization. The question is addressed that whether the synchronization conditions achieving complete synchronization is still valid for lag synchronization when the time delay of signal transmission between the drive and response systems increases from 0. Theoretical and numerical results show that whether the synchronization conditions is stable for the influence of the time delay of signal transmission depends on a particular form of equilibria of the drive and response systems. Furthermore, it seems that the less the number of the equilibria of the drive system, the more likely the synchronization conditions are stable for the time delay of signal trans- mission. 展开更多
关键词 drive-response systems time delay lag synchronization generalized synchronization
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MAXIMUM PRINCIPLE FOR STOCHASTIC OPTIMAL CONTROL PROBLEM WITH DISTRIBUTED DELAYS 被引量:1
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作者 Qixia ZHANG 《Acta Mathematica Scientia》 SCIE CSCD 2021年第2期437-449,共13页
This paper is concerned with a Pontryagin's maximum principle for the stochastic optimal control problem with distributed delays given by integrals of not necessarily linear functions of state or control variables... This paper is concerned with a Pontryagin's maximum principle for the stochastic optimal control problem with distributed delays given by integrals of not necessarily linear functions of state or control variables.By virtue of the duality method and the generalized anticipated backward stochastic differential equations,we establish a necessary maximum principle and a sufficient verification theorem.In particular,we deal with the controlled stochastic system where the distributed delays enter both the state and the control.To explain the theoretical results,we apply them to a dynamic advertising problem. 展开更多
关键词 Distributed delay generalized anticipated backward stochastic differential equations optimal control maximum principle
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New Oscillatory Theorems for Third-Order Nonlinear Delay Dynamic Equations on Time Scales 被引量:1
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作者 Li Gao Shouhua Liu Xiaotong Zheng 《Journal of Applied Mathematics and Physics》 2018年第1期232-246,共15页
This paper is concerned with the oscillatory properties of the third-order nonlinear delay dynamic equations of the form??on time scales , where ?is a quotient of odd positive integers. Applying the inequality techniq... This paper is concerned with the oscillatory properties of the third-order nonlinear delay dynamic equations of the form??on time scales , where ?is a quotient of odd positive integers. Applying the inequality technique we present two new sufficient conditions which ensure that every solution of equations is oscillatory or converges to zero. The results obtained improve and complement some known results in the literature. 展开更多
关键词 OSCILLATORY THIRD Order delay Dynamic Equation generalized RICCATI Transformation Time Scale
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Locating the position of objects in non-line-of-sight based on time delay estimation
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作者 王雪峰 王元庆 +1 位作者 苏金善 杨兴雨 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第8期163-169,共7页
Non-line-of-sight imaging detection is to detect hidden objects by indirect light and intermediary surface(diffuser).It has very important significance in indirect access to an object or dangerous object detection, ... Non-line-of-sight imaging detection is to detect hidden objects by indirect light and intermediary surface(diffuser).It has very important significance in indirect access to an object or dangerous object detection, such as medical treatment and rescue. An approach to locating the positions of hidden objects is proposed based on time delay estimation. The time delays between the received signals and the source signal can be obtained by correlation analysis, and then the positions of hidden objects will be located. Compared with earlier systems and methods, the proposed approach has some modifications and provides significant improvements, such as quick data acquisition, simple system structure and low cost, and can locate the positions of hidden objects as well: this technology lays a good foundation for developing a practical system that can be used in real applications. 展开更多
关键词 NON-LINE-OF-SIGHT time delay estimation cross-correlation hidden object location
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Sub-ns Jitter, 1ns Risetime and 10 kV Rectangular Pulse Trigger Generator
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作者 王海洋 马连英 曾正中 《Plasma Science and Technology》 SCIE EI CAS CSCD 2006年第5期600-601,共2页
A new rectangular pulse trigger generator has been developed which can generate two 10 kV pulses with a risetime less than 1 ns, a jitter of 0.2 ns and a width of about 10 ns and 40 ns, respectively. This generator us... A new rectangular pulse trigger generator has been developed which can generate two 10 kV pulses with a risetime less than 1 ns, a jitter of 0.2 ns and a width of about 10 ns and 40 ns, respectively. This generator uses two polymer-foil switches and 25 ohm Blumlein transmission lines composed of two-parallel standard coaxial cables discharging into two 50 ohm output cables. The pulse width and the delay between two pulses can be adjusted by changing the length of the cables. 展开更多
关键词 rectangular pulse generator polymer-foil switch delay JITTER
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Research on a High-Precision Delay Circuit in Data Acquisition Systems
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作者 MA Kai SU Hong-qi YANG Gong-xun 《Journal of China University of Mining and Technology》 EI 2006年第2期171-174,共4页
This paper presents a novel precision delay circuit design for high-speed data acquisition systems. Many studies have suggested that various advanced electronic measurement apparatuses require that the delay circuit s... This paper presents a novel precision delay circuit design for high-speed data acquisition systems. Many studies have suggested that various advanced electronic measurement apparatuses require that the delay circuit should have a high precision and a short delay interval. Practically, however, such measurement apparatuses are low in preci- sion and long in delay interval at present. The structure and function of a data acquisition system is introduced first; then the principle of ramp-based precision delay circuits and the digitally programmable delay generator is studied and the precision delay circuit is designed. The authors also demonstrated 8-bit programmable delay circuits with a timing pre- cision of 10 ps. Therefore the programmable precision delay circuit here presented has a higher precision, shorter inter- val and more detectable function than any other precision delay circuit. 展开更多
关键词 data acquisition ramp generator precision delay circuit
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Orderly delay control technique for a new type of arthropod robot
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作者 常青 韩宝玲 罗庆生 《Journal of Beijing Institute of Technology》 EI CAS 2013年第3期319-323,共5页
The orderly delay control technique for a new type of arthropod robot is studied in this pa- per. The orderly delay controller is composed of three parts. The first part is a central pattern gener- ator (CPG) with p... The orderly delay control technique for a new type of arthropod robot is studied in this pa- per. The orderly delay controller is composed of three parts. The first part is a central pattern gener- ator (CPG) with periodical output. The second part is a neural pathway (NP) that generates the time delay characteristic of various gait patterns. The last part is a locomotion nerve center ( LNC ) that decides the frequency of the CPG output and generates orderly phase delay by changing the pa- rameters of NP. And then signals that fit for different gaits can be obtained through the regulation of LNC. Experiments are implemented with a robot following mathematical simulation of the controller. The experimental results show that various gait patterns can be realized successfully with the method proposed in this paper. 展开更多
关键词 orderly delay controller central pattern generator (CPG) neural pathway (NP) loco-motion nerve center (LNC)
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