Finite-time event-triggered control for switched systems with time-varying delay

2016 ◽  
Author(s):  
Guoqi Ma ◽  
Linlin Qin ◽  
Xinghua Liu ◽  
Chun Shi ◽  
Gang Wu
Keyword(s):  
Finite Time ◽  
Switched Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay ◽  
Event Triggered

Finite-time event-triggered H ∞ control for switched systems with time-varying delay

2016 ◽  
Vol 207 ◽  
pp. 828-842 ◽  
Author(s):  
Guoqi Ma ◽  
Xinghua Liu ◽  
Linlin Qin ◽  
Gang Wu
Keyword(s):  
Finite Time ◽  
Switched Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay ◽  
Event Triggered

scholarly journals Finite-Timel1-Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Shuo Li ◽  
Zhengrong Xiang ◽  
Hamid Reza Karimi
Keyword(s):  
Finite Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Gain Control ◽  
Delta Operator ◽  
Time Varying ◽  
Operator Approach ◽  
Time Varying Delay ◽  
Positive Switched Systems ◽  
Varying Delay

This paper is concerned with the problem of finite-timel1-gain control for positive switched systems with time-varying delay via delta operator approach. Firstly, sufficient conditions which can guarantee thel1-gain finite-time boundedness of the underlying system are given by using the average dwell time approach and constructing an appropriate copositive type Lyapunov-Krasovskii functional in delta domain. Moreover, the obtained conditions can unify some previously suggested relevant results seen in literature of both continuous and discrete systems into the delta operator framework. Then, based on the results obtained, a state feedback controller is designed to ensure that the resulting closed-loop system is finite-time bounded with anl1-gain performance. Finally, a numerical example is presented to demonstrate the effectiveness and feasibility of the proposed method.

scholarly journals Observer-Based Event-Triggered Control for Switched Systems with Time-Varying Delay and Norm-Bounded Disturbance

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Guoqi Ma ◽  
Linlin Qin ◽  
Xinghua Liu ◽  
Gang Wu
Keyword(s):  
Finite Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Time Varying ◽  
Time Varying Delay ◽  
Exogenous Disturbance ◽  
Finite Time Stabilization ◽  
Finite Time Boundedness ◽  
Varying Delay ◽  
Event Triggered

This paper is concerned with the problem of observed-based event-triggered control for switched linear systems with time-varying delay and exogenous disturbance. First by employing a state observer, an observer-based event-triggered controller is designed to guarantee the finite-time boundedness and finite-time stabilization of the resulting dynamic augmented closed-loop system. Then based on the Lyapunov-like function method and the average dwell time technique, some sufficient conditions are given to ensure the finite-time boundedness and finite-time stabilization, respectively. Furthermore, the lower bound of the minimum interevent interval is proved to be positive, which thus excludes the Zeno behavior of sampling. A numerical example is finally exploited to verify the effectiveness and potential of the achieved control scheme.

LMI-based criteria for robust finite-time stabilisation of switched systems with interval time-varying delay

2017 ◽  
Vol 11 (16) ◽  
pp. 2688-2697 ◽  
Author(s):  
Elahe Moradi ◽  
Mohammad Reza Jahed-Motlagh ◽  
Mojtaba Barkhordari Yazdi
Keyword(s):  
Finite Time ◽  
Switched Systems ◽  
Time Varying ◽  
Interval Time ◽  
Time Varying Delay ◽  
Varying Delay
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