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observer-based controller for Lipschitz nonlinear systems

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE 2017年第16期48卷 3411-3418页

作者： Ekramian, Mohsen Univ Isfahan Dept Elect Engn Esfahan Iran

An observer-based controller for Lipschitz nonlinear systems is presented. The necessary and sufficient condition to ensure stability of state-observer as well as nonlinear system with state-feedback control law is derived. According to the separation principle, the closed-loop stability is guaranteed based on dual problems concerning stability of state-observer and stability of state-feedback parts. Also, the stability region for locally Lipschitz nonlinearities is obtained. A practical synthesis approach to achieve controller parameters is then given which yields the closed-loop convergence with less conservative results. The effectiveness of the proposed synthesis method is finally demonstrated by simulation results.

关键词： observer-based controller Lipschitz nonlinear systems output-feedback regulator

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Stabilization Analysis of observer-based controller For Uncertain and Disturbed T-S Fuzzy Model: Application to Wind Turbine

Stabilization Analysis of Observer-Based Controller For Unce...

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International Conference on Intelligent Systems and Computer Vision (ISCV)

作者： Lahmadi, Kaoutar Boumhidi, Ismail Univ Sidi Mohammed Ben Abdellah Fac Sci Dhar El Mahraz Dept Phys LESSI Lab Fes Morocco

ISBN: (纸本)9781538643969

This work presents the stability and design of a nonlinear fuzzy observer-based controller. based on Takagi Sugeno fuzzy model and applying Lyapunov function with a PDC command and some lemma, sufficient conditions are developed. These conditions proposed concerns tow systems one contain the uncertainties parameters and another one without uncertainties parameters with external disturbances. Finally, to illustrate the effectiveness of the proposed theorems tow examples are presented: The first example deals with problem of fuzzy control stabilization for wind turbine generator with external disturbances. The second example given to guarantee the stability and performances on an inverted pendulum with uncertainties parameters.

关键词： Takagi Sugeno fuzzy model observer-based controller H infinity uncertainties parameters Linear matrix inequality (LMI)

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observer-based controller Design for Fractional-order T-S Fuzzy Systems with Markovian Jump and Multiplicative Sensor Noises

Observer-based Controller Design for Fractional-order T-S Fu...

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第37届中国控制会议

作者： Ruirui Duan Junmin Li School of Mathematic and Statistics Xidian University

This paper focuses on observer-based controller design for a class of fractional-order nonlinear systems with Markovian jump, which can be approximated by using fractional-order T-S fuzzy model with Markovian jump. based on parallel-distributed-compensation（PDC） scheme, the model-dependent observer and observer-based fuzzy controller are designed. Moreover, the multiplicative sensor noise over the measurement output is considered, the mutual independent random variables are introduced to govern the phenomena. A model-dependent Lyapunov function is proposed, by using the matrix singular value decomposition method（SVD）, sufficient conditions in form of LMIs are obtained to guarantee the closed-loop fuzzy system is stochastically stable. Finally, an example demonstrates the effectiveness of the new design techniques.

关键词： Fractional-order T-S fuzzy system observer-based controller Markovian jump PDC SVD method

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MEMBERSHIP FUNCTION DEPENDENT observer-based controller DESIGN FOR A T-S FUZZY SYSTEM

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ASIAN JOURNAL OF CONTROL 2017年第4期19卷 1496-1507页

作者： Xie, Wen-Bo Wang, Yu-Long Zhang, Jian Huang, Ling Harbin Univ Sci & Technol Coll Automat Harbin 150080 Heilongjiang Peoples R China Jiangsu Univ Sci & Technol Sch Elect & Informat Zhenjiang 212003 Jiangsu Peoples R China Harbin Inst Technol Dept Control Sci & Engn Harbin 150001 Heilongjiang Peoples R China

The problems of observer-based feedback control and stability analysis for a T-S fuzzy system are investigated in this paper. based on system output variable, a membership function dependent observer and a controller subject to observer errors are constructed to estimate the unknown system state and establish the closed-loop feedback control system. The derived stability criteria, which is not numerically solvable, is converted to a solvable optimization problem. An improved membership function dependent approach is proposed to reduce the conservativeness. The approximated values of membership functions and their derivatives are calculated based on the proposed piecewise-function method. Then, a piecewise decaying rate setting technique is presented to adjust the error convergent speed. A three-rule fuzzy system stability analysis example is given to show the conservativeness reduction effects, while an inverted pendulum cart control process is used to show the effectiveness of the proposed observer-based control scheme.

关键词： Takagi-Sugeno fuzzy system observer-based controller membership function decaying rate

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observer-based controller Design for Singular Stochastic Markov Jump Systems with State Dependent Noise

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Journal of Systems Science & Complexity 2016年第4期29卷 946-958页

作者： ZHAO Yong ZHANG Weihai College of Electrical Engineering and Automation and College of Mathematics and Systems Science Shandong University of Science and TechnologyQingdao 266590China College of Electrical Engineering and Automation Shandong University of Science and TechnologyQingdao 266590China

This paper is concerned with the problem of observer-based controller design for singular stochastic Markov jump systems with state-dependent noise. Two concepts called "non-impulsiveness"and "mean square admissibility" are introduced, which are different from previous ones. Sufficient conditions for the open-and closed-loop singular stochastic Markov jump systems with state-dependent noise to be mean square admissible are provided in terms of strict LMIs. The controller gain and the observer gain which guarantee the resulting closed-loop error system to be mean square admissible are obtained in turn by solving the strict LMIs. A numerical example is presented to show the efficiency of the design approach.

关键词： Linear matrix inequalities observer-based controller singular stochastic systems stability.

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observer based-controller design for a class of linear descriptor system

Observer based-controller design for a class of linear descr...

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International Conference on Control, Automation and Diagnosis (ICCAD)

作者： Bentahra, Boutayna Soulami, Jalal El Assoudi, Abdellatif El Yaagoubi, El Hassane Hassan II Univ Casablanca Lab High Energy Phys & Condensed Matter Fac Sci BP 5366 Casablanca Morocco Hassan II Univ Casablanca ECPI Dept Elect Engn ENSEM BP 8118 Casablanca Morocco

ISBN: (纸本)9781538654071

This paper deals with the problem of observer-based controller design for a class of descriptor linear systems. A new approach is proposed to solve this problem. It based on separation the dynamic relations of the static relations in the descriptor linear system. The main result of this paper consists in showing that the observer-based controller design for a class of descriptor linear systems can be obtained by using a controller law and observer structure based on differential equation only. The stability condition is established with Lyapunov theory in order to guarantee the convergence of the augmented system. To obtain the gains of the observer and controller we use the Young relation to establish a linear matrix inequalities (LMIs). Finally, to illustrate the proposed approach, a simple RLC circuit is considered.

关键词： linear descriptor systems observer-based controller linear matrix inequality (LMI)

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observer-based controller and separation principle for TS systems with unmeasurable premise variables

Observer-based controller and separation principle for TS sy...

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IEEE Conference on Control Applications (CCA)

作者： Dabladji, Mohammed El-Habib Damon, Pierre-Marie Ichalal, Dalil Arioui, Hichem Evry Val Essonne Univ Informat Biol Integrat & Syst Complexes Lab F-91020 Evry France

ISBN: (纸本)9781509007554

This paper deals with the observer-based controller design for Takagi-Sugeno systems with unmeasurable premise variables. Under some assumptions (good choice of the controller structure and appropriate TS forms for the observer and controller gains), the proposed observer-based controller ensures the asymptotic convergence. Moreover, the separation principle is proved and independent LMI problems are obtained for the observer and the controller design. Numerical examples are given to illustrate the effectiveness of the proposed approach.

关键词： Takagi-Sugeno systems unmeasurable premise variables observer-based controller separation principle

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A synthesis of observer-based controller for stabilizing uncertain T-S fuzzy systems

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JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2016年第6期30卷 3451-3463页

作者： Wang, Wen-June Van-Phong Vu Chang, Wei Sun, Chung-Hsun Yeh, Shan-Ju Natl Cent Univ Dept Elect Engn Jhong Li City 32001 Taiwan

This study considers the robust stabilization problem of uncertain Takagi-Sugeno (T-S) fuzzy systems in which some or all state variables are unavailable. The considered uncertainties of the system are bounded and satisfy a certain condition. A sufficient condition for the state estimation and robust stabilization of the closed system is proposed. based on the condition, the observer is designed and observer-based controller is synthesized. In the observer and controller synthesis process, with the aid of some special derivations, Bilinear Matrix Inequalities (BMIs) are converted into Linear Matrix Inequalities (LMIs) in one step such that LMI tools can be used to solve the problem. Finally, both numerical and practical examples are given to verify the effectiveness of the proposed approach.

关键词： Nonlinear system fuzzy control system observer-based controller uncertainties LMIs

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Unknown Premise Variables observer-based controller Design for T-S Fuzzy Systems with Input Saturation 24

Unknown Premise Variables Observer-Based Controller Design f...

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24th Iranian Conference on Electrical Engineering (ICEE)

作者： Naseri, Afrooz Asemani, Mohammad Hassan Shiraz Univ Sch Elect & Comp Engn Dept Power & Control Engn Shiraz *** Iran

ISBN: (纸本)9781467387897

In this paper, we consider the problem of observer based controller design for nonlinear systems which can be represented by Takagi-Sugeno (T-S) fuzzy systems. Two practical restrictions have been considered to cover a more general problem. First, we suppose that the premise variables of the T-S model are unmeasurable, which permits one to utilize the proposed method in more practical systems. Second, actuator saturation is considered as a physical limitation and the controller is designed subject to this restriction. Sufficient conditions for the existence of such a controller are derived in terms of linear matrix inequalities (LMIs). The effectiveness of developed technique is shown through a numerical example.

关键词： input saturation T-S fuzzy system observer-based controller unknown premise variable PDC controller linear matrix inequality (LMI)

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observer-based controller and separation principle for TS systems with unmeasurable premise variables

Observer-based controller and separation principle for TS sy...

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IEEE Multi-Conference on Systems and Control

作者： Mohammed El-Habib Dabladji Pierre-Marie Damon Dalil Ichalal Hichem Arioui Informatique Biologie Integrative et Systemes Complexes Laboratory Evry Val d'Essonne University

ISBN: (纸本)9781509007561

关键词： Takagi-Sugeno systems Unmeasurable premise variables observer-based controller Separation principle

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