Event-triggered control for Markov jump system with nonlinear term satisfying incremental quadratic constraint

2021 ◽  
Author(s):  
Xiang Ma ◽  
Yueyuan Zhang ◽  
Jun Huang ◽  
Yiyang Chen
Keyword(s):  
Nonlinear Term ◽  
Markov Jump ◽  
Quadratic Constraint ◽  
Markov Jump System ◽  
Event Triggered

Event-triggered asynchronous H∞ fault-tolerant control for discrete-time Markov jump system with actuator faults

2020 ◽  
pp. 095965182096573
Author(s):  
Ai-Min Wang ◽  
Jian-Ning Li
Keyword(s):  
Markov Models ◽  
Fault Tolerant ◽  
Actuator Faults ◽  
Closed Loop System ◽  
Network Resources ◽  
Markov Jump ◽  
External Disturbances ◽  
Controlled System ◽  
Markov Jump System ◽  
Event Triggered

This article focuses on the design of event-triggered asynchronous [Formula: see text] fault-tolerant controller for Markov jump system subject to actuator faults and external disturbances. The asynchronization phenomenon not only occurs between the controlled system and controller but also exists between the controlled system and faulty actuator, which are portrayed as two corresponding hidden Markov models. Moreover, a mode-dependent event-triggered mechanism is introduced to facilitate network resources utilization. Then, by introducing mode-dependent Lyapunov-Krasovskii functional, a sufficient condition is obtained to guarantee that the closed-loop system is randomly mean square stable with [Formula: see text] performance. Finally, two numerical examples are employed to illustrate the effectiveness of the proposed synthesis scheme.

scholarly journals Finite-time Projective Synchronization for Semi-markovian Neural Networks Systems via Event-triggered Sliding Mode Control

2021 ◽  
Author(s):  
Junchao Ren ◽  
xuejiao Li
Keyword(s):  
Neural Networks ◽  
Sliding Mode Control ◽  
Finite Time ◽  
Sliding Mode ◽  
Projective Synchronization ◽  
Linear Matrix ◽  
Markov Jump ◽  
Mode Control ◽  
Markov Jump System ◽  
Event Triggered

Abstract This paper investigates the projection synchronization problem of stochastic neural networked systems based on event-triggered sliding mode control (SMC) covering a finite-time period. For improve transmission efficiency and save network resources, a related event-triggered scheme is proposed for the error system, which can identify whether the measurement error should be transmitted to the controller. For finite-time projective synchronization under given event-triggered mechanism, a semi-Markov jump system model is proposed. Secondly, by creating Lyapunov Krasovsky functional and using linear matrix inequality (LMI) technology, as well as considering a proper sliding surface, a sliding mode controller is designed to implement finite-time projection synchronization of different neural networks. Finally, numerical simulations are exploited to illustrate the effectiveness of the main results.

scholarly journals Hybrid Event-Triggered Filtering for Nonlinear Markov Jump Systems With Stochastic Cyber-Attacks

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 248-258
Author(s):  
Wenqian Xie ◽  
Yong Zeng ◽  
Kaibo Shi ◽  
Xin Wang ◽  
Qianhua Fu
Keyword(s):  
Cyber Attacks ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Jump Systems ◽  
Event Triggered ◽  
Hybrid Event

An event-triggered approach to finite-time observer-based control for Markov jump systems with repeated scalar nonlinearities

2017 ◽  
Vol 40 (9) ◽  
pp. 2789-2797 ◽  
Author(s):  
Jingyu Li ◽  
Liang Shen ◽  
Fengqi Yao ◽  
Huanyu Zhao ◽  
Jing Wang
Keyword(s):  
Finite Time ◽  
Design Method ◽  
Function Technique ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Diagonally Dominant Matrix ◽  
Error System ◽  
Dominant Matrix ◽  
Jump Systems ◽  
Event Triggered

This paper studies the issue of finite-time observer-based control via an event-triggered scheme for Markov jump repeated scalar nonlinear systems. An observer-based controller via an event-triggered scheme is proposed, which can save the limited network communication bandwidth effectively, so that the resulting error system is stochastically finite-time bounded. Based on the positive definite diagonally dominant matrix and the Lyapunov function technique, a sufficient condition is presented for the solvability of the addressed problem, and the desired observer-based controller can be constructed via a convex optimization problem. In the end, a simulation example is employed to show the validity and practicability of the proposed design method.

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