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 enlarge...

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Bibliographic Details
Published in:Frontiers of information technology & electronic engineering 2013-03, Vol.14 (3), p.214-221
Main Authors: Haghighatnia, Sara, Moghaddam, Reihaneh Kardehi
Format: Article
Language:English
Subjects:
Attraction
Communications Engineering
Computer Hardware
Computer Science
Computer Systems Organization and Communication Networks
Control systems design
Dynamical systems
Electrical Engineering
Electronics and Microelectronics
Expansion
Instrumentation
Liapunov functions
Lyapunov functions
Networks
Nonlinear control
Nonlinear dynamics
Nonlinear systems
Optimization
Parameters
Strategy
Uncertainty
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Summary: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.
ISSN:1869-1951
2095-9184
1869-196X
2095-9230
DOI:10.1631/jzus.C1200213