Properties of the parametric Lyapunov equation based low gain design with applications in stabilization of time-delay systems

Authors:
Bin Zhou;Zongli Lin;Guangren Duan
Affiliations:
Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, P.R. China;Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA;Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, P.R. China
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 5
Cited 0

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Abstract

This paper studies some properties of the recently developed parametric Lyapunov equation based low gain feedback design method. As applications of these new properties, alternative and simpler solutions are proposed to the (global) stabilization problem for a class of linear systems with input delay and the semi-global stabilization problem when the systems are in addition subject to actuator saturation. Besides the simplicity in their construction, the new solutions can also be easily scheduled online to achieve global result in the presence of input saturation.