Abstract

We consider a multiobjective robust controller synthesis problem for an LTI system subject to unstructured perturbations. Our design specifications include robust stability, robust performance (H 2 -norm) bounds and time-domain bounds (output and command input peak). We derive sufficient conditions, based on a single quadratic Lyapunov function, for the existence of an LTI controller such that the closed-loop system satisfies all specifications simultaneously. These conditions can be numerically checked using finite-dimensional, convex optimization over LMIs, associated with a two-dimensional search. When considering only a subset of the specifications, we recover previous results from the literature, such as those obtained in mixed H 2 /H1 control. Keywords: Multiobjective robust control, mixed H 2 /H1 , time-domain specification, unstructured perturbation, quadratic Lyapunov function, linear matrix inequality. 1 Introduction In a multiobjective robust control problem, one seeks a co...

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