Static Output Feedback Quantized Control for Fuzzy Markovian Switching Singularly Perturbed Systems with Deception Attacks

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.

Robust H∞ minimum entropy static output-feedback control of singularly perturbed systems

Automatica ◽

10.1016/s0005-1098(00)00027-3 ◽

2000 ◽

Vol 36 (8) ◽

pp. 1181-1188 ◽

Cited By ~ 9

Author(s):

E. Fridman ◽

U. Shaked

Keyword(s):

Feedback Control ◽

Output Feedback ◽

Output Feedback Control ◽

Singularly Perturbed ◽

Static Output Feedback ◽

Singularly Perturbed Systems ◽

Minimum Entropy ◽

Perturbed Systems ◽

Static Output Feedback Control ◽

Static Output

Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback

Abstract and Applied Analysis ◽

10.1155/2013/528695 ◽

2013 ◽

Vol 2013 ◽

pp. 1-9 ◽

Cited By ~ 1

Author(s):

Dan Liu ◽

Lei Liu ◽

Ying Yang

Keyword(s):

Discrete Time ◽

Output Feedback ◽

Perturbation Parameter ◽

Singularly Perturbed ◽

Static Output Feedback ◽

Singularly Perturbed Systems ◽

Closed Loop System ◽

Perturbed Systems ◽

Norm Bound ◽

Static Output

This paper concentrates on control problems of discrete-time singularly perturbed systems via static output feedback. Two methods of designing an controller, which ensures that the resulting closed-loop system is asymptotically stable and meets a prescribed norm bound, are presented in terms of LMIs. Though based on the same matrix transformation, the two approaches are turned into different optimal problems. The first result is given by an -independent LMI, while the second result is related to . Furthermore, a stability upper bound of the singular perturbation parameter is obtained. The validity of the proposed two results is demonstrated by a numerical example.

Suboptimal H2 Static Output Feedback Control for Singularly Perturbed Systems

2007 IEEE International Conference on Automation and Logistics ◽

10.1109/ical.2007.4339057 ◽

2007 ◽

Author(s):

Yan Li ◽

Yusong Jiao ◽

Xinmin Wang

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

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

Journal of Vibration and Control ◽

10.1177/10775463211026039 ◽

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.