Robust control of linear systems under structured nonlinear time-varying perturbations I - Analysis

  • Bambang, Riyanto-T. (Department of Electrical Engineering, Waseda University, 3-4-1 Ohkubo, Sinjuku-ku, Tokyo 169, Japan) ;
  • Shimemura, Etsujiro (Department of Electrical Engineering, Waseda University, 3-4-1 Ohkubo, Sinjuku-ku, Tokyo 169, Japan)
  • Published : 1993.10.01

Abstract

In this paper robust stability conditions are obtained for linear dynamical systems under structured nonlinear time-varying perturbations, using absolute stability theory and the concept of dissipative systems. The conditions are expressed in terms of solutions to linear matrix inequality(LMI). Based on this result, a synthesis methodology is developed for robust feedback controllers with worst-case H$_{2}$ perforrmance via convex optimization and LMI formulation.

Keywords