Stabilization with eigenvalues placement of a norm bounded uncertain system by bounded inputs

In this paper, a method to design a bounded feedback control function which stabilizes a norm bounded uncertain linear system is proposed, The aim is to ensure a certain performance level in a neighbourhood (ellipsoid) of the origin, through pole placement and guaranteed cost feedback control. Outsi de this neighbourhood, a linear-like control with state dependent gains is derived from the solutions of a family of parameter dependent algebraic Ric cati equations. The proposed method can be used for continuous-time as well as discrete-time systems. Copyright (C) 1999 John Wiley & Sons, Ltd.