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Content Provider | IEEE Xplore Digital Library |
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Author | Blanchini, F. Miani, S. Mesquine, F. |
Copyright Year | 2008 |
Description | Author affiliation: Univ. of Udine, Udine, Italy (Blanchini, F.; Miani, S.) || Univ. Cadi Ayad, Marrakech, Morocco (Mesquine, F.) |
Abstract | In this paper, we investigate the problem of designing a switching compensator for a plant switching amongst a (finite) family of given configurations $(A_{i},$ $B_{i},$ $C_{i}).$ We assume that switching is uncontrolled, namely governed by some arbitrary switching rule, and that the controller has the information of the current configuration i.As a first result, we provide necessary and sufficient conditions for the existence of a family of linear compensators, each applied to one of the plant configurations, such that the closed loop plant is stable under arbitrary switching. These conditions are based on a separation principle, precisely, the switching stabilizing control can be achieved by separately designing an observer and an estimated state (dynamic) compensator. These conditions are associated with (non-quadratic) Lyapunov functions. In the quadratic framework, similar conditions can be given in terms of LMIs which provide a switching controller which has the same order of the plant. As a second result, we furnish a characterization of all the stabilizing switching compensators for such switching plants. We show that, if the necessary and sufficient conditions are satisfied then, given any arbitrary family of compensators K $_{i},(s),$ each one stabilizing the corresponding LTI plant $(A_{i},$ $B_{i},$ $C_{i})$ for fixed i, there exist suitable realizations for each of these compensators, which assure stability under arbitrary switching. |
Starting Page | 953 |
Ending Page | 958 |
File Size | 221315 |
Page Count | 6 |
File Format | |
ISBN | 9781424431236 |
ISSN | 01912216 |
DOI | 10.1109/CDC.2008.4738586 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2008-12-09 |
Publisher Place | Mexico |
Access Restriction | Subscribed |
Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subject Keyword | Switching systems Control systems Sufficient conditions Lyapunov method Stability Bismuth Observers State estimation Logic Control theory Lyapunov functions Youla-Kucera parametrization separation principle |
Content Type | Text |
Resource Type | Article |
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