Technical communique: On improved robust stabilization of uncertain systems with unknown input delay

Authors:
Wu-Hua Chen;Wei Xing Zheng
Affiliations:
College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, PR China;School of Computing and Mathematics, University of Western Sydney, Penrith South DC NSW 1797, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2006

Citing 4
Cited 4

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Brief paper: Stabilization for state/input delay systems via static and integral output feedback

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Abstract

This paper investigates the robust stabilization problem for uncertain systems with unknown input delay based on the reduction method. Two types of the unknown input delay are considered: one is constant; the other is continuous and may vary fast. Sufficient matrix inequalities conditions for stabilizability of such systems are derived via Lyapunov functionals and the descriptor system approach to time-delay systems. An algorithm involving convex optimization is proposed to design a delayed state feedback controller such that the system can be stabilized for all admissible uncertainties. Two illustrative examples are presented to show the effectiveness of the proposed algorithm.