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

Robust Exponential Stability for Uncertain Discrete-Time Switched Systems with Interval Time-Varying Delay via a Switching Signal

2013 ◽  
Vol 479-480 ◽  
pp. 983-988
Author(s):  
Jenq Der Chen ◽  
Chang Hua Lien ◽  
Ker Wei Yu ◽  
Chin Tan Lee ◽  
Ruey Shin Chen ◽  
...  
Keyword(s):  
Exponential Stability ◽  
Discrete Time ◽  
Switched Systems ◽  
Time Varying ◽  
Signal Design ◽  
Robust Exponential Stability ◽  
Interval Time ◽  
Time Varying Delay ◽  
Switching Signal ◽  
Varying Delay

In this paper, the switching signal design to robust exponential stability for discrete-time switched systems with interval time-varying delay is considered. LMI-based conditions are proposed to guarantee the global exponential stability for such system with parametric perturbations by using a switching signal. The appropriate Lyapunov functionals are used to reduce the conservativeness of systems. Finally, a numerical example is illustrated to show the main results.

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.

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