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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Haghighatnia, S., Moghaddam, R.K. Enlarging the guaranteed region of attraction in nonlinear systems with bounded parametric uncertainty. J. Zhejiang Univ. - Sci. C 14, 214–221 (2013). https://doi.org/10.1631/jzus.C1200213
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DOI: https://doi.org/10.1631/jzus.C1200213