A multiplier approach for the robust design of discrete-time control systems with real/complex uncertainties

摘要

A novel approach for the design of robust controllers for discrete-time uncertain systems using a multiplier approach is given. Our algorithm is based on a k{sub}m/μ-synthesis type iteration involving a search for suitable multipliers and solving scaled H{sub}∞ optimization problems. The latter problems involve only the original plant data and the scalings are computed via standard spectral factorizations from the multiplier. The design is performed entirely in the discrete-time domain and tberesults can be used for multiobjective control design (Tchernychev and Sideris, 1997).