Stability, -gain and control synthesis for positive switched systems with time-varying delay

2013 ◽  
Vol 9 ◽  
pp. 9-17 ◽  
Author(s):  
Mei Xiang ◽  
Zhengrong Xiang
Keyword(s):  
Switched Systems ◽  
Control Synthesis ◽  
Time Varying ◽  
Time Varying Delay ◽  
Positive Switched Systems ◽  
And Control ◽  
Varying Delay

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.

Stability analysis and control synthesis for positive semi-Markov jump systems with time-varying delay

2018 ◽  
Vol 332 ◽  
pp. 363-375 ◽  
Author(s):  
Lei Li ◽  
Wenhai Qi ◽  
Xiaoming Chen ◽  
Yonggui Kao ◽  
Xianwen Gao ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Control Synthesis ◽  
Time Varying ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Time Varying Delay ◽  
Jump Systems ◽  
And Control ◽  
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.

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