Reliable H ∞ control for 2‐D discrete switched systems with state delays and actuator failures

2020 ◽  
Vol 34 (10) ◽  
pp. 1383-1404
Author(s):  
Khalid Badie ◽  
Mohammed Alfidi ◽  
Zakaria Chalh
Keyword(s):  
Switched Systems ◽  
Actuator Failures ◽  
State Delays ◽  
Discrete Switched Systems

scholarly journals Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Shipei Huang ◽  
Zhengrong Xiang ◽  
Hamid Reza Karimi
Keyword(s):  
Switched Systems ◽  
Dwell Time ◽  
State Feedback ◽  
Controller Design ◽  
Robust Stabilization ◽  
Asynchronous Switching ◽  
Parameter Uncertainties ◽  
State Delays ◽  
Discrete Switched Systems ◽  
The Stability

This paper is concerned with the problem of robust stabilization for a class of uncertain two-dimensional (2D) discrete switched systems with state delays under asynchronous switching. The asynchronous switching here means that the switching instants of the controller experience delays with respect to those of the system. The parameter uncertainties are assumed to be norm-bounded. A state feedback controller is proposed to guarantee the exponential stability. The dwell time approach is utilized for the stability analysis and controller design. A numerical example is given to illustrate the effectiveness of the proposed method.

Robust mixed H2 and passive switching control for uncertain discrete switched systems with time delay

2019 ◽  
Vol 37 (2) ◽  
pp. 422-440 ◽  
Author(s):  
Chang-Hua Lien ◽  
Ker-Wei Yu ◽  
Hao-Chin Chang
Keyword(s):  
Time Delay ◽  
Switched Systems ◽  
Switching Control ◽  
Delay System ◽  
Lyapunov Theory ◽  
Linear Matrix ◽  
Time Delay System ◽  
Wirtinger Inequality ◽  
Discrete Time Delay ◽  
Discrete Switched Systems

Abstract In this paper, the problem of mixed ${H}_2$ and passive switching control of uncertain discrete time-delay switched systems is investigated via a switching signal selection. Lyapunov theory with Wirtinger inequality is applied to guarantee the mixed performance for discrete switched time-delay system. The used Linear Matrix Inequality variables are less than our past proposed results. Finally, the improvement of the developed results is illustrated via a numerical example.

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