scholarly journals Dynamic Output Feedback Compensation Control for Discrete Closed-Loop Nonlinear System with Multiple Time-Delays

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Wei Zheng ◽  
Hong-bin Wang ◽  
Zhi-ming Zhang
Keyword(s):  
Nonlinear System ◽  
Output Feedback ◽  
Time Delays ◽  
Closed Loop ◽  
Design Parameters ◽  
Multiple Time ◽  
Dynamic Output Feedback ◽  
Multiple Time Delays ◽  
Dynamic Output ◽  
Dynamic Compensator

This paper addresses the dynamic output feedback control problem for a class of discrete system with uncertainties and multiple time-delays. First, the system is decomposed into two subsystems based on the output matrix and input control matrix. Secondly, a dynamic compensator is employed for the first subsystem, and then, given the multiple uncertainties, the output feedback controller is designed based on the second subsystem and the dynamic compensator. Thirdly, by choosing the Lyapunov-Krasovskii function, it can be seen that the developed controller makes the closed-loop system convergent to an adjustable region, which can be rendered arbitrary small by adjusting design parameters. Compared with the previous researches, the proposed controller is not only smooth and memoryless, but also only dependent on the system output. Furthermore, with the given dynamic compensator, the controller design conditions are relaxed, while the approach is extended to the conventional nonlinear system. Finally, numerical example is given to illustrate the effectiveness of the theoretical results.

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.

Asynchronous repetitive control of switched systems via periodic event-based dynamic output feedback

2019 ◽  
Vol 37 (2) ◽  
pp. 644-673
Author(s):  
Guoqi Ma ◽  
Xinghua Liu ◽  
Prabhakar R Pagilla ◽  
Shuzhi Sam Ge
Keyword(s):  
Output Feedback ◽  
Switched Systems ◽  
Closed Loop ◽  
Repetitive Control ◽  
Mode Switching ◽  
Dynamic Output Feedback ◽  
Time Varying ◽  
Design Framework ◽  
Dynamic Output ◽  
Event Based

Abstract This paper develops an asynchronous mode-dependent repetitive control strategy with periodic event-based dynamic output feedback for periodic trajectory tracking of continuous-time switched systems subject to time-varying switching delays between system modes and controllers and limited communication capacity in the feedback channel. By employing the input delay approach, the overall system is modelled as an augmented closed-loop switched system with both constant and time-varying state delays. A co-design framework is proposed for simultaneously designing the controller, event-triggering mechanism and mode switching signal. Under the co-design framework, using piecewise Lyapunov functional, free-weighting matrices and average dwell time technique, sufficient conditions are derived for ensuring the augmented closed-loop system to be exponentially stable with a prescribed $H_{\infty }$ attenuation level $\gamma $ for an exogenous disturbance input. The performance of the proposed controller design scheme is verified via numerical simulation results on a switched RLC series circuit system.

Sign in / Sign up

Export Citation Format

Share Document