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Original Articles

Robust output feedback stabilization of uncertain time-varying state-delayed systems with saturating actuators

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Pages 399-414 | Received 01 Aug 2003, Accepted 01 Nov 2003, Published online: 19 Feb 2007
 

Abstract

The robust output feedback stabilization problem for state-delayed systems with time-varying delays and saturating actuators is addressed here. The systems considered are continuous-time, with parametric uncertainties entering all the matrices in the system representation. A saturating control law is designed and a region of initial conditions is specified within which local asymptotic stability of the closed-loop system is ensured. The least conservative approach that employs the Lyapunov–Krasovskii functional is adopted to ensure stabilization. The designed controller is dependent on the time-delay and its rate of change. The controller is constructed in terms of the solution to a set of matrix inequalities.

Acknowledgement

The work of the first author was supported by Nexfor Technology of Canada.

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