Observer-Based Fuzzy Control Design for Discrete-Time T-S Fuzzy Bilinear Systems

Li, Jiangrong; Li, Junmin; Xia, Zhile

doi:10.1142/s0218488513500220

Cited by 17 publications

(25 citation statements)

References 19 publications

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“…The requirement can be achieved by regulating structure of the observer (4.33) as [6]. By using Schur complement to (4.54), we can obtain matrix inequality (4.53) with withG…”

Section: And N L Such That the Following Matrix Inequalities Holdmentioning

confidence: 99%

Robust Observer-Based Output Feedback $$H_\infty $$ Control

Chang

2014

Robust Output Feedback H-Infinity Control and Filtering for Uncertain Linear Systems

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This chapter studies observer-based output feedback H ∞ control problem for discrete-time linear systems with polytopic uncertainties and norm bounded uncertainties. For systems with polytopic uncertainties, the descriptor systems approach is used to design observers and controllers. For systems with norm bounded uncertainties, in the so-called two-step procedure, a selective approach is introduced first, in which results of the first step are allowed to be selected in order to reduce the conservatism of previous approaches. Then, a simple LMI result for observerbased output feedback H ∞ control design for uncertain linear systems with a special case is given. Finally, the LMI decoupling approach is also considered for designing observers and controllers.

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“…The requirement can be achieved by regulating structure of the observer (4.33) as [6]. By using Schur complement to (4.54), we can obtain matrix inequality (4.53) with withG…”

Section: And N L Such That the Following Matrix Inequalities Holdmentioning

confidence: 99%

Robust Observer-Based Output Feedback $$H_\infty $$ Control

Chang

2014

Robust Output Feedback H-Infinity Control and Filtering for Uncertain Linear Systems

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“…In Ref. [25,47], the problems of observer-based fuzzy control design for T-S fuzzy systems were concerned.…”

Section: Introductionmentioning

confidence: 99%

Non-Fragile Guaranteed Cost Control of Nonlinear Systems with Different State and Input Delays Based on T-S Fuzzy Local Bilinear Models

Li¹,

Li²,

Duan³

2017

Modern Fuzzy Control Systems and Its Applications

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This paper focuses on the non-fragile guaranteed cost control problem for a class of TakagiSugeno (T-S) fuzzy time-varying delay systems with local bilinear models and different state and input delays. A non-fragile guaranteed cost state-feedback controller is designed such that the closed-loop T-S fuzzy local bilinear control system is delay-dependent asymptotically stable, and the closed-loop fuzzy system performance is constrained to a certain upper bound when the additive controller gain perturbations exist. By employing the linear matrix inequality (LMI) technique, sufficient conditions are established for the existence of desired non-fragile guaranteed cost controllers. The simulation examples show that the proposed approach is effective and feasible.Keywords: fuzzy control, non-fragile guaranteed cost control, delay-dependent, linear matrix inequality (LMI), T-S fuzzy bilinear model IntroductionIn recent years, T-S (Takagi-Sugeno) model-based fuzzy control has attracted wide attention, essentially because the fuzzy model is an effective and flexible tool for the control of nonlinear systems [1][2][3][4][5][6][7][8]. Through the application of sector nonlinearity approach, local approximation in fuzzy partition spaces or other different approximation methods, T-S fuzzy models will be used to approximate or exactly represent a nonlinear system in a compact set of state variables. The merit of the model is that the consequent part of a fuzzy rule is a linear dynamic subsystem, which makes it possible to apply the classical and mature linear systems theory to nonlinear systems. Further, by using the fuzzy inference method, the overall fuzzy model will © 2017 The Author(s). Licensee InTech. This chapter is distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. be obtained. A fuzzy controller is designed via the method titled 'parallel distributed compensation (PDC) ' [3-6], the main idea of which is that for each linear subsystem, the corresponding linear controller is carried out. Finally, the overall nonlinear controller is obtained via fuzzy blending of each individual linear controller. Based on the above content, T-S fuzzy model has been widely studied, and many results have been obtained [1][2][3][4][5][6][7][8]. In practical applications, time delay often occurs in many dynamic systems such as biological systems, network systems, etc. It is shown that the existence of delays usually becomes the source of instability and deteriorating performance of systems [3][4][5][6][7][8]. In general, when delay-dependent results were calculated, the emergence of the inner product between two vectors often makes the process of calculation more complicated. In order to avoid it, some model transformations were utilized in many papers, unfortunately, which will arouse the generation of an inequality, resulting in possible conse...

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“…16 The dynamic output feedback controller design problem was studied in the literature. 17 Considering impulsive dynamical systems, the sufficient conditions of FTS were proposed in the study by He and Wang.…”

Section: Introductionmentioning

confidence: 99%

Finite-time stabilization of switched linear systems and its application in terminal guidance

Guo

Deng

et al. 2016

International Journal of Advanced Robotic Systems

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This article presents finite-time stabilization methods of switched linear systems with disturbances. After extending finite-time stabilization and finite-time boundedness definitions to switched linear systems, sufficient conditions guaranteeing system finite-time boundedness are proposed, by which the state feedback controller method is obtained. For a class of switched terminal guidance systems, the methods are illustrated by application to guidance design to solve the finite-time stabilization problem considering nonzero initial conditions and state constraints.

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Observer-Based Fuzzy Control Design for Discrete-Time T-S Fuzzy Bilinear Systems

Cited by 17 publications

References 19 publications

Robust Observer-Based Output Feedback $$H_\infty $$ Control

Robust Observer-Based Output Feedback $$H_\infty $$ Control

Non-Fragile Guaranteed Cost Control of Nonlinear Systems with Different State and Input Delays Based on T-S Fuzzy Local Bilinear Models

Finite-time stabilization of switched linear systems and its application in terminal guidance

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