Robust static output feedback control for hidden Markov jump linear systems

2021 ◽  
pp. 1-19
Author(s):  
A. M. de Oliveira ◽  
O. L. V. Costa ◽  
G. W. Gabriel
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Hidden Markov ◽  
Output Feedback Control ◽  
Static Output Feedback ◽  
Markov Jump ◽  
Jump Linear Systems ◽  
Markov Jump Linear 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.

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