Comments on ‘Robust stabilization of uncertain linear dynamical systems’

Abstract

Based on the stabilizability of a nominal system, by making use of the Lyapunov stability criterion and combining with the algebraic Riccati equation, Wu and Mizukami (1993) present a new approach to designing a robust linear state feedback controller for uncertain linear dynamical systems. The robust stabilization conditions given by Wu and Mizukami (1993), however, seem to be conservative and can be easily improved upon. In this note we design another robust linear feedback controller to render the uncertain system asymptotically stable. An example is presented to demonstrate our new control law and to compare it with the existing one.