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ABSTRACT Local passivity and H∞ control of switched discrete-time nonlinear systems are studied using the linearisation technique in this paper. We first establish LMI-based sufficient conditions under which theconsidered system… Click to show full abstract
ABSTRACT Local passivity and H∞ control of switched discrete-time nonlinear systems are studied using the linearisation technique in this paper. We first establish LMI-based sufficient conditions under which theconsidered system is locally strictly QSR-dissipative. Then, two special cases of QSR-dissipativity, local passivity and l2 gain, are investigated. In view of the derived conditions being all convex in linearised system matrices, local feedback passification and H∞ control problems of switched discrete-time nonlinear systems are solved. The efficiency of the proposed method is verified through numerical examples.
Journal Title: International Journal of Systems Science
Year Published: 2018
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