Abstract
Inthis paper we consider a guaranteed cost control problem fora class of uncertain discrete-time systems which contain structureduncertainties. The uncertainties are assumed to satisfy a certainsum quadratic constraint. The controller will be a minimax controllerin the sense that it minimizes the maximum value of a cost function.For a given initial condition, the minimax optimal controlleris constructed by solving a parameter dependent Riccati equation.This controller guarantees absolute stability of the closed loopsystem.
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