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We propose a computational method for local robust performance analysis of nonlinear systems with polynomial dynamics. Specifically, we characterize upper bounds for local L2 rarr L2 input-output gains using polynomial Lyapunov/ storage functions satisfying certain dissipation inequalities and compute safe approximations for these upper bounds via sum-of-squares programming problems. We consider...
A constructive procedure for robust output controller design is given starting from the unit hypercube of reflection coefficients of monic polynomials. This procedure consists of two main steps: convex approximation of the stability domain by a polytope and robust controller design by quadratic programming approach. A generalization for all stable polytopes is given by the use of a Schur invariant...
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