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CLC number: TP27

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2013-01-10

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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)



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.

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