H∞ Dynamic Output Feedback Control for a Class of Discrete-Time Stochastic Systems with Sector Nonlinearities and Mixed Time-Delays

2012 ◽  
Vol 490-495 ◽  
pp. 296-300
Author(s):  
Wei Jun Ma ◽  
Yan Mei Hu ◽  
Xian Zhang
Keyword(s):  
Feedback Control ◽  
Discrete Time ◽  
Output Feedback ◽  
Time Delays ◽  
Stochastic Systems ◽  
Output Feedback Control ◽  
Dynamic Output Feedback ◽  
Mixed Time Delays ◽  
Dynamic Output ◽  
Sector Nonlinearities

This paper deals with the dynamic output feedback control problem for a class of discrete-time stochastic systems involving sector nonlinearities and mixed time-delays. Based on the control theory and Lyapunov-Krasovskii functional method, an effective approach is proposed to design a dynamic output feedback controller such that the resultant closed-loop system is stochastically stable with a prescribed disturbance attention in the mean square sense and has a performance level. A numerical example demonstrates the effectiveness of the method.

Gain-scheduled dynamic output feedback control for discrete-time LPV systems

2012 ◽  
Vol 22 (5) ◽  
pp. 535-558 ◽  
Author(s):  
J. De Caigny ◽  
J. F. Camino ◽  
R. C. L. F. Oliveira ◽  
P. L. D. Peres ◽  
J. Swevers
Keyword(s):  
Feedback Control ◽  
Discrete Time ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Dynamic Output Feedback ◽  
Lpv Systems ◽  
Dynamic Output ◽  
Gain Scheduled

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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