Please use this identifier to cite or link to this item: https://doi.org/10.1080/00207170701654354
Title: Hybrid state feedback stabilization with l2 performance for discrete-time switched linear systems
Authors: Lin, H. 
Antsaklis, P.J.
Issue Date: Jul-2008
Citation: Lin, H., Antsaklis, P.J. (2008-07). Hybrid state feedback stabilization with l2 performance for discrete-time switched linear systems. International Journal of Control 81 (7) : 1114-1124. ScholarBank@NUS Repository. https://doi.org/10.1080/00207170701654354
Abstract: In this paper, the co-design of continuous-variable controllers and discrete-event switching logics, both in state feedback form, is investigated for a class of discrete-time switched linear control systems. It is assumed that none of the subsystems is stabilized through a continuous state feedback alone. However, it is possible to stabilize the whole switched system via carefully designing both the continuous controllers and the switching logics. Sufficient synthesis conditions for this co-design problem are proposed here in the form of bilinear matrix inequalities, which is based on the argument of multiple Lyapunov functions. The closed-loop switched system forms a special class of linear hybrid system, and is shown to be asymptotically stable with a finite l2 induced gain.
Source Title: International Journal of Control
URI: http://scholarbank.nus.edu.sg/handle/10635/82485
ISSN: 00207179
DOI: 10.1080/00207170701654354
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