Robust H ∞ output feedback control for type‐2 Takagi‐Sugeno fuzzy systems with multiple time‐delays and disturbances: A descriptor redundancy approach

2021 ◽  
Author(s):  
Wei Zheng ◽  
Zhiming Zhang ◽  
Fuchun Sun ◽  
Shuhuan Wen ◽  
Xiaolei Li ◽  
...  
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Fuzzy Systems ◽  
Time Delays ◽  
Output Feedback Control ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
Takagi Sugeno

Dynamic Output-Feedback Control for Chemical Stirred Tank Reactor System with Multiple Time-Delays: A Lyapunov–Krasovskii Functional Approach

2019 ◽  
Vol 17 (03) ◽  
pp. 1850138 ◽  
Author(s):  
Wei Zheng ◽  
Hongbin Wang ◽  
Zhiming Zhang ◽  
Shuhuan Wen ◽  
Yueling Wang
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Time Delays ◽  
Output Feedback Control ◽  
Stirred Tank ◽  
Multiple Time ◽  
Dynamic Output Feedback ◽  
Tank Reactor ◽  
Multiple Time Delays ◽  
Dynamic Output

This paper addresses the dynamic output feedback control problem for a class of nonlinear multiple time-delays system. First, the system is decomposed into two subsystems based on the input matrix and output matrix. Second, a dynamic compensator is employed for the first subsystem, and then the output feedback controller is designed based on the second subsystem and compensator. With a new Lyapunov–Krasovskii functional, we show that the closed-loop time-delays system is stable and the designed controller make the solutions of the system convergent to an adjustable bounded region. Compared with the previous works, the proposed dynamic output feedback technique is more flexible and the required conditions on the considered systems are less conservative. Finally, the simulations for a discrete-time chemical stirred tank reactor case are performed to verify the effectiveness of the method.

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