Actuator faults usually cause security problem in practice.This paper is concerned with the security control of positive semi-Markovian jump systems with actuator faults.The considered systems are with mode transition...Actuator faults usually cause security problem in practice.This paper is concerned with the security control of positive semi-Markovian jump systems with actuator faults.The considered systems are with mode transition-dependent sojourn-time distributions,which may also lead to actuator faults.First,the time-varying and bounded transition rate that satisfies the mode transition-dependent sojourn-time distribution is considered.Then,a stochastic co-positive Lyapunov function is constructed.Using matrix decomposition technique,a set of state-feedback controllers for positive semi-Markovian jump systems with actuator faults are designed in terms of linear programming.Under the designed controllers,stochastic stabilization of the systems with actuator faults are achieved and the security of the systems can be guaranteed.Furthermore,the proposed results are extended to positive semi-Markovian jump systems with interval and polytopic uncertainties.By virtue of a segmentation technique of the transition rates,a less conservative security control design is also proposed.Finally,numerical examples are provided to demonstrate the validity of the presented results.展开更多
This paper is concerned with the event-triggered control of positive semi-Markovian jump systems without/with input saturation.The considered systems are subject to a stochastic semi-Markovian process whose sojourn ti...This paper is concerned with the event-triggered control of positive semi-Markovian jump systems without/with input saturation.The considered systems are subject to a stochastic semi-Markovian process whose sojourn time is dependent on a non-exponential distribution.First,an event-triggering condition is introduced in a linear form for the systems.A class of event-triggered feedback controllers is proposed using matrix decomposition technique.By using a stochastic co-positive Lyapunov function,the systems’positivity and stability are guaranteed.Then,the obtained results are developed for the systems with input saturation.A cone set is chosen as the attraction domain and the corresponding attraction domain gain matrix is designed in terms of standard linear programming approach.Finally,two numerical examples are provided to verify the validity and effectiveness of the presented theoretical findings.展开更多
This paper is concerned with the double sensitive fault detection filter for positive Markovian jump systems. A new hybrid adaptive event-triggered mechanism is proposed by introducing a non-monotonic adaptive law. A ...This paper is concerned with the double sensitive fault detection filter for positive Markovian jump systems. A new hybrid adaptive event-triggered mechanism is proposed by introducing a non-monotonic adaptive law. A linear adaptive event-triggered threshold is established by virtue of 1-norm inequality.Under such a triggering strategy, the original system can be transformed into an interval uncertain system. By using a stochastic copositive Lyapunov function, an asynchronous fault detection filter is designed for positive Markovian jump systems(PMJSs) in terms of linear programming. The presented filter satisfies both L_-gain(?_-gain) fault sensitivity and L_1(?_1)internal differential privacy sensitivity. The proposed approach is also extended to the discrete-time case. Finally, two examples are provided to illustrate the effectiveness of the proposed design.展开更多
The paper is concerned with positive observer design for positive Markovian jump systems with partly known transition rates. By applying a linear co-positive type Lyapunov-Krasovskii function,a sufficient condition is...The paper is concerned with positive observer design for positive Markovian jump systems with partly known transition rates. By applying a linear co-positive type Lyapunov-Krasovskii function,a sufficient condition is proposed to ensure the stochastic stability of the error positive system and the existence of the positive observer, which is computed in linear programming. Finally, an example is given to demonstrate the validity of the main results.展开更多
基金supported by the National Nature Science Foundation of China(Nos.62073111,61703132)the Fundamental Research Funds for the Provincial Universities of Zhejiang(No.GK209907299001-007)+2 种基金the Natural Science Foundation of Zhejiang Province,China(No.LY20F030008)the Foundation of Zhejiang Provincial Education Department of China(No.Y202044335)the Graduate Scientific Research Foundation of Hangzhou Dianzi University(No.CXJJ2020051).
文摘Actuator faults usually cause security problem in practice.This paper is concerned with the security control of positive semi-Markovian jump systems with actuator faults.The considered systems are with mode transition-dependent sojourn-time distributions,which may also lead to actuator faults.First,the time-varying and bounded transition rate that satisfies the mode transition-dependent sojourn-time distribution is considered.Then,a stochastic co-positive Lyapunov function is constructed.Using matrix decomposition technique,a set of state-feedback controllers for positive semi-Markovian jump systems with actuator faults are designed in terms of linear programming.Under the designed controllers,stochastic stabilization of the systems with actuator faults are achieved and the security of the systems can be guaranteed.Furthermore,the proposed results are extended to positive semi-Markovian jump systems with interval and polytopic uncertainties.By virtue of a segmentation technique of the transition rates,a less conservative security control design is also proposed.Finally,numerical examples are provided to demonstrate the validity of the presented results.
基金the National Natural Science Foundation of China(Nos.62073111 and 61803134)the Fundamental Research Funds for the Provincial Universities of Zhejiang(No.GK209907299001-007)+2 种基金the Natural Science Foundation of Zhejiang Province,China(Nos.LY20F030008 and LY20F030011)the Open Research Project of Zhejiang Lab(No.2021MC0AB04)the Foundation of Zhejiang Provincial Education Department of China(No.Y202044263)。
文摘This paper is concerned with the event-triggered control of positive semi-Markovian jump systems without/with input saturation.The considered systems are subject to a stochastic semi-Markovian process whose sojourn time is dependent on a non-exponential distribution.First,an event-triggering condition is introduced in a linear form for the systems.A class of event-triggered feedback controllers is proposed using matrix decomposition technique.By using a stochastic co-positive Lyapunov function,the systems’positivity and stability are guaranteed.Then,the obtained results are developed for the systems with input saturation.A cone set is chosen as the attraction domain and the corresponding attraction domain gain matrix is designed in terms of standard linear programming approach.Finally,two numerical examples are provided to verify the validity and effectiveness of the presented theoretical findings.
基金supported by the National Natural Science Foundation of China (62073111,62073167)the Natural Science Foundation of Hainan Province (621QN212)Science Research Funding of Hainan University (KYQD(ZR)22180)。
文摘This paper is concerned with the double sensitive fault detection filter for positive Markovian jump systems. A new hybrid adaptive event-triggered mechanism is proposed by introducing a non-monotonic adaptive law. A linear adaptive event-triggered threshold is established by virtue of 1-norm inequality.Under such a triggering strategy, the original system can be transformed into an interval uncertain system. By using a stochastic copositive Lyapunov function, an asynchronous fault detection filter is designed for positive Markovian jump systems(PMJSs) in terms of linear programming. The presented filter satisfies both L_-gain(?_-gain) fault sensitivity and L_1(?_1)internal differential privacy sensitivity. The proposed approach is also extended to the discrete-time case. Finally, two examples are provided to illustrate the effectiveness of the proposed design.
基金supported by the Key Program of National Natural Science Foundation of China under Grant Nos.61573088 and 61433004
文摘The paper is concerned with positive observer design for positive Markovian jump systems with partly known transition rates. By applying a linear co-positive type Lyapunov-Krasovskii function,a sufficient condition is proposed to ensure the stochastic stability of the error positive system and the existence of the positive observer, which is computed in linear programming. Finally, an example is given to demonstrate the validity of the main results.
