H∞ control of nonlinear systems: a convex characterization

Abstract

The so-called nonlinear H∞-control problem in state space is considered with an emphasis on developing machinery with promising computational properties. Both state feedback and output feedback H∞-control problems for a class of nonlinear systems are characterized in terms of continuous positive definite solutions of algebraic nonlinear matrix inequalities (NLMIs) which are convex feasibility problems.

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