Title: Stability analysis and control synthesis of uncertain neutral delay systems with actuator failures

Authors: Limin Wang, Cheng Shao

Addresses: Institute of Advanced Control Technology, Dalian University of Technology, Dalian 116024, China. ' Institute of Advanced Control Technology, Dalian University of Technology, Dalian 116024, China

Abstract: The problems of delay-dependent robustly exponential stability and stabilisation of a class of special neutral systems with interval time-varying delays, and subject to actuator failures, are investigated in this paper. For the special switched system resulting from actuator failures, a class of switching laws incorporating the average dwell time method is proposed. Based on the switching strategy of average dwell time method, delay-dependent sufficient conditions for exponential stability and stabilisation of the special switched systems are established in terms of linear matrix inequalities by choosing appropriate piecewise Lyapunov–Krasovskii functional. Also, the synthesis of stabilising hybrid state-feedback controllers is done such that the closed-loop system is robustly exponentially stable. The effectiveness of the proposed robust control scheme is demonstrated by simulation example.

Keywords: robustly exponential stability; actuator failures; average dwell time; delay-dependent; linear matrix inequalities; switched neutral systems; stability analysis; stability control; feedback control; robust control; simulation.

DOI: 10.1504/IJAAC.2010.035527

International Journal of Automation and Control, 2010 Vol.4 No.4, pp.398 - 416

Received: 05 Nov 2008
Accepted: 18 Jun 2009
Published online: 30 Sep 2010 *

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