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Front. Inform. Technol. Electron. Eng.  2013, Vol. 14 Issue (3): 214-221    DOI: 10.1631/jzus.C1200213
    
Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty
Sara Haghighatnia, Reihaneh Kardehi Moghaddam
Department of Electrical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty
Sara Haghighatnia, Reihaneh Kardehi Moghaddam
Department of Electrical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
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摘要： A novel approach to enlarge the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainties based on the design of a nonlinear controller is proposed. The robust domain of attraction (RDA) is estimated using the parameter-dependent quadratic Lyapunov function and enlarged by the optimal controlling parameters. The problem of extending the RDA is indicated in a form of three-layer optimization problem. Some examples illustrate the efficiency of the proposed strategy in enlarging RDA.
关键词： Lyapunov function (LF);  Optimal controlling parameters;  Robust domain of attraction (RDA)    
Abstract: A novel approach to enlarge the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainties based on the design of a nonlinear controller is proposed. The robust domain of attraction (RDA) is estimated using the parameter-dependent quadratic Lyapunov function and enlarged by the optimal controlling parameters. The problem of extending the RDA is indicated in a form of three-layer optimization problem. Some examples illustrate the efficiency of the proposed strategy in enlarging RDA.
Key words: Lyapunov function (LF)    Optimal controlling parameters    Robust domain of attraction (RDA)
收稿日期: 2012-06-05 出版日期: 2013-03-05
CLC:  TP27  
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Sara Haghighatnia
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Sara Haghighatnia, Reihaneh Kardehi Moghaddam. Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty. Front. Inform. Technol. Electron. Eng., 2013, 14(3): 214-221.

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