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Title: Optimal persistent disturbance attenuation control for linear hybrid systems
Authors: Lin, H. 
Zhai, G.
Antsaklis, P.J.
Keywords: Disturbance attenuation
Hybrid dynamical systems
Induced gain
Invariant sets
Robust performance
Switched systems
Issue Date: 15-Sep-2006
Citation: Lin, H., Zhai, G., Antsaklis, P.J. (2006-09-15). Optimal persistent disturbance attenuation control for linear hybrid systems. Nonlinear Analysis, Theory, Methods and Applications 65 (6) : 1231-1250. ScholarBank@NUS Repository.
Abstract: In this paper, the disturbance attenuation properties for a class of linear hybrid systems are investigated, and a hybrid optimal persistent disturbance attenuation control problem is studied. First, a procedure is developed to determine the minimal l∞ induced gain of linear hybrid systems. However, for general hybrid systems, the termination of the procedure is not guaranteed. Then, the decidability issues are discussed. The termination of the procedure in a finite number of steps is shown for a subclass of hybrid systems with simplified discrete event dynamics, called switched linear systems. Finally, the optimal persistent disturbance attenuation controller synthesis problem is studied. It is shown that the optimal performance level can be achieved by a piecewise linear state feedback control law, and a systematic approach is proposed to design such feedback control. © 2005 Elsevier Ltd. All rights reserved.
Source Title: Nonlinear Analysis, Theory, Methods and Applications
ISSN: 0362546X
DOI: 10.1016/
Appears in Collections:Staff Publications

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