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Journal of Zhejiang University SCIENCE C

, Volume 14, Issue 3, pp 214–221 | Cite as

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

Article

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) 

CLC number

TP27 

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Copyright information

© Journal of Zhejiang University Science Editorial Office and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Sara Haghighatnia
    • 1
  • Reihaneh Kardehi Moghaddam
    • 1
  1. 1.Department of Electrical Engineering, Mashhad BranchIslamic Azad UniversityMashhadIran

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