Asynchronous H∞ stabilization of switched systems with overlapped time-varying detection delays

2016 ◽  
Author(s):  
Yu Ren ◽  
Guanghui Sun ◽  
Meng Joo Er
Keyword(s):  
Switched Systems ◽  
Time Varying

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.

Mixed performance analysis of continuous switched systems with time‐varying random delay

2020 ◽  
Vol 22 (6) ◽  
pp. 2156-2166 ◽  
Author(s):  
Chang‐Hua Lien ◽  
Ker‐Wei Yu ◽  
Hao‐Chin Chang
Keyword(s):  
Performance Analysis ◽  
Switched Systems ◽  
Time Varying ◽  
Random Delay

Robust dissipative observer-based control design for discrete-time switched systems with time-varying delay

2019 ◽  
Vol 13 (18) ◽  
pp. 3026-3039 ◽  
Author(s):  
Mohamed Amin Regaieg ◽  
Mourad Kchaou ◽  
Jérôme Bosche ◽  
Ahmed El-Hajjaji ◽  
Mohamed Chaabane
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Control Design ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

Tracking of Periodic Trajectories for Switched Systems Under Time-Varying Asynchronous Switching

2019 ◽  
Vol 141 (8) ◽  
Author(s):  
Guoqi Ma ◽  
Xinghua Liu ◽  
Prabhakar R. Pagilla ◽  
Shuzhi Sam Ge
Keyword(s):  
Output Feedback ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Dynamic Output Feedback ◽  
Time Varying ◽  
Decomposition Approach ◽  
Dynamic Output ◽  
2D Model ◽  
Repetitive Controller

In this technical brief, we provide an asynchronous modified repetitive controller design to address the periodic trajectory tracking problem for switched systems with time-varying switching delays between plant modes and controllers. In the feedback channel, a dynamic output feedback mechanism is adopted. By utilizing the lifting technique, the dynamic output feedback-based switched repetitive control system is transformed into a continuous-discrete two-dimensional (2D) model to differentiate the control and learning actions involved in the repetitive controller. For the transformed 2D model, by constructing a piecewise Lyapunov functional and utilizing a matrix decomposition approach, sufficient conditions in terms of linear matrix inequalities (LMIs) and the average dwell time are developed to guarantee closed-loop exponential stability. The performance of the proposed approach is illustrated via a switched RLC series circuit example and numerical simulations are provided.

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