Technical communique: Delay-range-dependent control synthesis for time-delay systems with actuator saturation

Authors:
Lixian Zhang;El-Kébir Boukas;Ahmad Haidar
Affiliations:
Department of Mechanical Engineering, ícole Polytechnique de Montréal, P.O. Box 6079, Station Centre-ville, Montréal (Québec), Canada, H3C 3A7;Department of Mechanical Engineering, ícole Polytechnique de Montréal, P.O. Box 6079, Station Centre-ville, Montréal (Québec), Canada, H3C 3A7;Department of Mechanical Engineering, ícole Polytechnique de Montréal, P.O. Box 6079, Station Centre-ville, Montréal (Québec), Canada, H3C 3A7
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

The control synthesis problem for a class of linear time-delay systems with actuator saturation is investigated in this paper. The time delay is considered to be time-varying and has lower and upper bounds. A delay-range-dependent approach is adopted and the corresponding existence conditions of the stabilizing state-feedback controller are derived in terms of LMIs. An estimate for the domain of attraction of the origin can be obtained for the underlying systems with different time-delay ranges. Two numerical examples are presented to show the effectiveness and less conservatism of the developed theoretical results.