Guaranteed Cost Impulsive Control of Nonlinear Positive Systems Via T–S Fuzzy Model

2021 ◽  
Author(s):  
Baolong Zhu ◽  
Haixia Wang ◽  
Jie Zhang ◽  
Peng Zhao
Keyword(s):  
Impulsive Control ◽  
Fuzzy Model ◽  
Positive Systems ◽  
Guaranteed Cost

scholarly journals Switching Fuzzy Guaranteed Cost Control for Nonlinear Networked Control Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Linqin Cai ◽  
Zhuo Yang ◽  
Jimin Yu ◽  
Zhenhua Zhang
Keyword(s):  
Control Systems ◽  
Cost Control ◽  
Controller Design ◽  
Networked Control Systems ◽  
Sufficient Conditions ◽  
Fuzzy Model ◽  
Guaranteed Cost Control ◽  
Networked Control ◽  
Nonlinear Networked Control Systems ◽  
Guaranteed Cost

This paper deals with the problem of guaranteed cost control for a class of nonlinear networked control systems (NCSs) with time-varying delay. A guaranteed cost controller design method is proposed to achieve the desired control performance based on the switched T-S fuzzy model. The switching mechanism is introduced to handle the uncertainties of NCSs. Based on Lyapunov functional approach, some sufficient conditions for the existence of state feedback robust guaranteed cost controller are presented. Simulation results show that the proposed method is effective to guarantee system’s global asymptotic stability and quality of service (QoS).

Guaranteed Cost Output Feedback Control of Fuzzy Systems via LMI Approach

2010 ◽  
Vol 14 (6) ◽  
pp. 567-573 ◽  
Author(s):  
Shusaku Nishikawa ◽  
◽  
Jun Yoneyama
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Fuzzy System ◽  
Design Method ◽  
Fuzzy Model ◽  
Output Feedback Control ◽  
Control Design ◽  
Tuning Parameter ◽  
Guaranteed Cost ◽  
The Stability

This paper is concerned with the stability with guaranteed cost for a fuzzy system with immeasurable premise variables via output feedback. It is well known that Takagi-Sugeno fuzzy model describes a wide class of nonlinear systems especially when its premise variables include immeasurable functions. However, when it comes to output feedback control design of such a fuzzy system, a conventional Parallel Distributed Compensator (PDC) is not feasible because the PDC shares the same immeasurable premise variables as those of a fuzzy system. In this paper, we introduce an output feedback controller with the estimate of the premise variables of an original fuzzy system. We then formulate the stabilization problem with guaranteed cost for a fuzzy system with immeasurable premise variables. Our control design method is based on a set of strict LMI conditions. No tuning parameter is necessary a priori to solve them. The stability with guaranteed cost takes care of not only stabilization but also control performance. Our proposed method attempts to minimize the upper bound of the performance index, which results in the satisfactory trajectories of the system. Finally, numerical examples are given to illustrate our control design method.

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