Periodically time-varying memory state-feedback controller synthesis for discrete-time linear systems

Automatica ◽  
2011 ◽  
Vol 47 (1) ◽  
pp. 14-25 ◽  
Author(s):  
Yoshio Ebihara ◽  
Dimitri Peaucelle ◽  
Denis Arzelier
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
State Feedback ◽  
Feedback Controller ◽  
Controller Synthesis ◽  
Time Varying ◽  
Memory State ◽  
State Feedback Controller ◽  
Memory State Feedback ◽  
Time Linear

scholarly journals Memory State Feedback Control for Time-Varying Delay Switched Fuzzy Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Le Zhang ◽  
Meiyu Jia ◽  
Hong Yang ◽  
Gang Wu
Keyword(s):  
Fuzzy Systems ◽  
State Feedback ◽  
Feedback Controller ◽  
State Feedback Control ◽  
Time Varying ◽  
Memory State ◽  
State Feedback Controller ◽  
Time Varying Delay ◽  
Memory State Feedback ◽  
Varying Delay

Consider the problem of memoryless state feedback controller for time-delay system, which cannot consider both the memoryless and the memory items in the system. Therefore, the memoryless state feedback controller has certain limitations and is more conservative. This paper addresses the memory state feedback control for the time-varying delay switched fuzzy systems based on T-S fuzzy model to overcome the problem discussed above. The state vector and input of the time-varying delay systems contain unknown time-varying delay with known bounds. The designed controller whose parameters are solvable can introduce past state information and reduce the system conservativeness. The more general Lyapunov-Krasovskii functional is selected and the switching law is designed in order to analyze the open-loop system stability, and the memory state feedback controller is designed for the closed-loop system and the criterion for its asymptotic stability. Discuss the solvability of the above two criteria. Finally, a numerical example is given. The simulation results show that the proposed method is more feasible and effective.

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