Robust Control Synthesis for Plants with Parametric Uncertainties

Holmberg U., Y. Piguet, and D. Bonvin. ECC'95, Rome, Italy, Vol. 4, pp. 3025-3030, September 1995.

Abstract

A control synthesis procedure for discrete-time systems with parameter (structured) perturbations is given. Two cases of parameter bounds are treated: interval bounds and ellipsoidal bounds. Such bounds can be obtained using various identification algorithms. A frequency domain criterion for robust stability is used that handles both cases. The method also allows an estimation of a finite set of critical plants. Based on these further improvements can be made by applying a multimodel design method.