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Received: 2012-06-05

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Journal of Zhejiang University SCIENCE C 2013 Vol.14 No.3 P.214-221

http://doi.org/10.1631/jzus.C1200213


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


Author(s):  Sara Haghighatnia, Reihaneh Kardehi Moghaddam

Affiliation(s):  Department of Electrical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Corresponding email(s):   Sara.haghighatnia, R_k_moghaddam@mshdiau.ac.ir

Key Words:  Lyapunov function (LF), Optimal controlling parameters, Robust domain of attraction (RDA)


Sara Haghighatnia, Reihaneh Kardehi Moghaddam. Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty[J]. Journal of Zhejiang University Science C, 2013, 14(3): 214-221.

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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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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