scholarly journals STATIC OUTPUT FEEDBACK CONTROL OF STOCHASTIC DECENTRALIZED SINGULARLY PERTURBED SYSTEMS

2016 ◽  
Vol 05 (06) ◽  
pp. 1-5
Author(s):  
Walid Alfuhaid .
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Singularly Perturbed ◽  
Static Output Feedback ◽  
Singularly Perturbed Systems ◽  
Perturbed Systems ◽  
Static Output Feedback Control ◽  
Static Output

scholarly journals Asynchronous Stabilization of Nonlinear Markov Jump Singularly Perturbed Systems via Fuzzy Static Output Feedback Control

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Baogang Ding ◽  
Tingting Ma ◽  
Xiaoxin Feng ◽  
Yueying Wang
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Singularly Perturbed ◽  
Static Output Feedback ◽  
Singularly Perturbed Systems ◽  
Markov Jump ◽  
Perturbed Systems ◽  
Static Output Feedback Control ◽  
Static Output

This study focuses on the static output feedback control of nonlinear Markov jump singularly perturbed systems within the framework of Takagi–Sugeno fuzzy approximation. From a practical point of view, the phenomenon of asynchronous switching between the plant and the controller is considered and characterized by a finite piecewise-homogenous Markov process. Particularly, for facilitating the controller synthesis, the closed-loop system is transformed into a fuzzy Markov jump singularly perturbed descriptor system by adopting descriptor representation. In order to fully accommodate the system features, an appropriate stochastic Lyapunov function is constructed. Afterwards, by combining Finsler’s lemma, the mean square exponential admissibility of the system is analyzed. The conditions ensuring the existence of the predesigned controller are given and further solved by designing a brief search algorithm. Finally, a typical circuit system is used to demonstrate the application potential of the developed control technology and the effectiveness of the control strategy.

Output feedback control of fractional order Takagi–Sugeno fuzzy singularly perturbed systems

2021 ◽  
pp. 107754632110260
Author(s):  
Xuefeng Zhang ◽  
Zerui Han
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Perturbed Systems ◽  
Static Output Feedback Control ◽  
Takagi Sugeno ◽  
Static Output

This article focuses on the stabilization conditions of fractional order fuzzy singularly perturbed systems via state and static output feedback control with order 0 < α < 1, respectively. First, by an equivalent transformation, fractional order singularly perturbed systems are transformed into fractional order singular systems. Second, three stabilizing conditions under state feedback control are proposed. Then, based on the introduction of intermediate variables, static output feedback control condition in terms of strict linear matrix inequalities which guarantee the fractional order Takagi–Sugeno fuzzy singularly perturbed system to be stable is obtained. And the proposed conditions can overcome some drawbacks in the existing work. Finally, two examples are provided to show the effectiveness of the results in this study.

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