Dynamic event‐triggered control for Markovian jump linear systems with time‐varying delay

2021 ◽  
Author(s):  
Hui Zhao ◽  
Weidong Li ◽  
Zhicheng Li ◽  
Yu Ren
Keyword(s):  
Linear Systems ◽  
Time Varying ◽  
Markovian Jump ◽  
Jump Linear Systems ◽  
Time Varying Delay ◽  
Dynamic Event ◽  
Markovian Jump Linear Systems ◽  
Varying Delay ◽  
Event Triggered

scholarly journals Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre Inequalities

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-16 ◽  
Author(s):  
Hongqian Lu ◽  
Chaoqun Guo ◽  
Yue Hu ◽  
Wuneng Zhou
Keyword(s):  
Control System ◽  
Stability Analysis ◽  
Networked Control System ◽  
Time Varying ◽  
Actuator Faults ◽  
Markovian Jump ◽  
Time Varying Delay ◽  
The Stability ◽  
Varying Delay ◽  
Event Triggered

This paper discusses the stability of semi-Markovian jump networked control system containing time-varying delay and actuator faults. The system dynamic is optimized while the network resource is saved by introducing an improved static event-triggered mechanism. For deriving a less conservative stability criterion, the Bessel–Legendre inequalities approach is employed to the stability analysis and plays a major role. By constructing the enhanced Lyapunov–Krasovskii functional (LKF) relevant to the Legendre polynomials, a stability criterion with lower conservativeness indexed by N is derived, and the conservativeness will decrease as N increases. In addition, a controller is designed. To prove the validity of this paper, numerical examples are provided at the last.

Event-triggered uniform ultimate bound control for linear systems with time-varying delay

2019 ◽  
Vol 41 (15) ◽  
pp. 4263-4273
Author(s):  
Yanliang Cui ◽  
Lanlan Xu
Keyword(s):  
Linear Systems ◽  
Design Method ◽  
Time Interval ◽  
Time Varying ◽  
Sampled Data ◽  
Convergence Region ◽  
Time Varying Delay ◽  
Event Trigger ◽  
Varying Delay ◽  
Event Triggered

This paper investigates an effective event-triggered control for linear systems with time-varying delay. For reducing the sampled data transmission amount, a novel event-trigger is proposed wherein a state-independent threshold is involved. For guaranteeing uniformly ultimately bounded stability, an event-triggered feedback control law is proposed. By aid of a new free-weight matrix technique, the event-trigger and control co-design method is conveniently obtained. By pre-specifying the threshold of the event-trigger, the event-triggered frequency and the ultimate state convergence region can be simultaneously regulated. In addition, the convergence rate of closed-loop system is pre-specifiable as well. More significantly, the minimal event-triggering time interval is given. During that time interval, the event-trigger can not be violated, thus the Zeno phenomena is excluded naturally. Numerical examples are provided to demonstrate the effectiveness of the proposed method.

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