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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
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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)     
Received: 05 June 2012      Published: 05 March 2013
CLC:  TP27  
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Sara Haghighatnia
Reihaneh Kardehi Moghaddam
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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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http://www.zjujournals.com/xueshu/fitee/10.1631/jzus.C1200213     OR     http://www.zjujournals.com/xueshu/fitee/Y2013/V14/I3/214


Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty

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) 
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