H∞ GUARANTEED COST COMPUTATION VIA POLYNOMIALLY PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS

Abstract Linear matrix inequality conditions for H ∞ guaranteed cost evaluation of uncertain linear systems in polytopic domains are presented in this paper. The conditions are based on homogeneous polynomially parameter-dependent Lyapunov functions of arbitrary degree. As the degree grows, tests of increasing precision are obtained providing more accurate H ∞ guaranteed costs. Both continuous and discrete-time uncertain systems are addressed, as illustrated by numerical examples.

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