Computation of the recoverable region and stabilisation problem in the recoverable region for discrete-time systems |
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| Authors: | Xu Wang Ali Saberi Anton A Stoorvogel Sandip Roy Peddapullaiah Sannuti |
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| Affiliation: | 1. School of Electrical Engineering and Computer Science , Washington State University , Pullman, WA 99164-2752, USA xwang@eecs.wsu.edu;3. School of Electrical Engineering and Computer Science , Washington State University , Pullman, WA 99164-2752, USA;4. Department of Electrical Engineering, Mathematics, and Computing Science , University of Twente , PO Box 217, 7500 AE Enschede, The Netherlands;5. Department of Electrical and Computer Engineering , Rutgers University , 94 Brett Road, Piscataway, NJ 08854-8058, USA |
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| Abstract: | This article considers discrete-time linear time-invariant systems subject to input and state constraints. It is shown that in the recoverable region (which is the largest domain of attraction that is theoretically achievable) system can be semi-globally stabilised by nonlinear feedbacks while satisfying the constraints. Moreover, the recoverable region for the given system is constructed by constructing the same, however, for a reduced-order subsystem of the given system. Such a reduction in the order or dimension of the system generally leads to a considerable simplification in the computational effort. |
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| Keywords: | state constraints recoverable region nonlinear control linear system structure |
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