This paper considers the problem of delay-dependent non-fragile H∞control for a class of linear systems with interval time-varying delay. Based on the direct Lyapunov method, an appropriate Lyapunov-Krasovskii functi...This paper considers the problem of delay-dependent non-fragile H∞control for a class of linear systems with interval time-varying delay. Based on the direct Lyapunov method, an appropriate Lyapunov-Krasovskii functional(LKF) with triple-integral terms and augment terms is introduced. Then, by using the integral inequalities and convex combination technique, an improved H∞performance analysis criterion and non-fragile H∞controller are formulated in terms of linear matrix inequalities(LMIs), which can be easily solved by using standard numerical packages. At last, two numerical examples are provided to demonstrate the effectiveness of the obtained results.展开更多
This paper addresses the control problem of continuous-time network control systems(NCSs)subject to aperiodic denial-of-service(DoS)attacks and actuator saturation.By considering the minimum communication security dur...This paper addresses the control problem of continuous-time network control systems(NCSs)subject to aperiodic denial-of-service(DoS)attacks and actuator saturation.By considering the minimum communication security duration and the maximum attack duration,an aperiodic DoS attack model is proposed.This model facilitates system performance analysis by linking two general hypothetical models.For NCSs experiencing both aperiodic DoS attacks and actuator saturation,a dynamic memory-based event-triggered mechanism(DMETM)is designed to operate during the attack dormant periods.Based on the aperiodic DoS attack signal,a set of memory-based controllers and auxiliary controllers are designed to linearize the actuator's saturation effect.Using the obtained switching system model and a piecewise Lyapunov-Krasovskii functional(LKF),sufficient conditions are derived for the system to achieve local asymptotic stabilization and weighted perturbation attenuation H∞performance.Additionally,a method for estimating the attraction domain is provided.The co-design of the event-triggered weighting matrix and controller gains is presented using linear matrix inequalities(LMIs).Finally,the effectiveness and superiority of the proposed method are demonstrated through a practical application example.展开更多
The guaranteed cost control challenge for discrete-time nonlinear systems that include time-varying delays is the central topic of this paper.We propose a novel synthesis of state feedback controllers to achieve asymp...The guaranteed cost control challenge for discrete-time nonlinear systems that include time-varying delays is the central topic of this paper.We propose a novel synthesis of state feedback controllers to achieve asymptotic stability and ensure a satisfactory level of performance in the closed-loop system.To address the time-varying parameters and control,we leverage the Takagi-Sugeno(TS)fuzzy formalism,the Lyapunov-Krasovskii functional(LKF)framework,and free-weighting matrices.Furthermore,we establish novel delay-dependent linear matrix inequalities(LMIs)that guarantee the stability of the closed-loop system.To illustrate the benefits of our approach and compare it with existing literature works,we provide numerical examples.These examples showcase the practical application and advantages of the suggested approach.展开更多
基金supported by National Natural Science Foundation of China(Nos.61074072 and 61374120)
文摘This paper considers the problem of delay-dependent non-fragile H∞control for a class of linear systems with interval time-varying delay. Based on the direct Lyapunov method, an appropriate Lyapunov-Krasovskii functional(LKF) with triple-integral terms and augment terms is introduced. Then, by using the integral inequalities and convex combination technique, an improved H∞performance analysis criterion and non-fragile H∞controller are formulated in terms of linear matrix inequalities(LMIs), which can be easily solved by using standard numerical packages. At last, two numerical examples are provided to demonstrate the effectiveness of the obtained results.
基金Supported by National Natural Science Foundation of China(60935001,61174061,61074033)Anhui Provincial Natural Science Foundation(11040606M143)Fundamental Research Funds for the Central Universities and the Program for New Century Excellent Talents in University
基金supported in part by the National Natural Science Foundation of China under Grant No.62103074by Special Fund for Basic Scientific Research Business Expenses of Liaoning Provincial Undergraduate Universities under Grant Nos.LJ212410150055,YTMS20230008in part by the Doctoral Program of Science and Technology Department of Liaoning Province under Grant No.2022-BS-257。
文摘This paper addresses the control problem of continuous-time network control systems(NCSs)subject to aperiodic denial-of-service(DoS)attacks and actuator saturation.By considering the minimum communication security duration and the maximum attack duration,an aperiodic DoS attack model is proposed.This model facilitates system performance analysis by linking two general hypothetical models.For NCSs experiencing both aperiodic DoS attacks and actuator saturation,a dynamic memory-based event-triggered mechanism(DMETM)is designed to operate during the attack dormant periods.Based on the aperiodic DoS attack signal,a set of memory-based controllers and auxiliary controllers are designed to linearize the actuator's saturation effect.Using the obtained switching system model and a piecewise Lyapunov-Krasovskii functional(LKF),sufficient conditions are derived for the system to achieve local asymptotic stabilization and weighted perturbation attenuation H∞performance.Additionally,a method for estimating the attraction domain is provided.The co-design of the event-triggered weighting matrix and controller gains is presented using linear matrix inequalities(LMIs).Finally,the effectiveness and superiority of the proposed method are demonstrated through a practical application example.
文摘The guaranteed cost control challenge for discrete-time nonlinear systems that include time-varying delays is the central topic of this paper.We propose a novel synthesis of state feedback controllers to achieve asymptotic stability and ensure a satisfactory level of performance in the closed-loop system.To address the time-varying parameters and control,we leverage the Takagi-Sugeno(TS)fuzzy formalism,the Lyapunov-Krasovskii functional(LKF)framework,and free-weighting matrices.Furthermore,we establish novel delay-dependent linear matrix inequalities(LMIs)that guarantee the stability of the closed-loop system.To illustrate the benefits of our approach and compare it with existing literature works,we provide numerical examples.These examples showcase the practical application and advantages of the suggested approach.
