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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Maithripala, D.H.S. Berg, J.M. Dayawansa, W.P. |
| Copyright Year | 2002 |
| Description | Author affiliation: Dept. of Mech. Eng., Texas Tech. Univ., Lubbock, TX, USA (Maithripala, D.H.S.; Berg, J.M.) |
| Abstract | Consider the problem of selecting a single compensator capable of regulating any member of a family of linear systems in the presence of a specified exogenous system. Necessary and sufficient conditions for the existence of a structurally stable, regulating and stabilizing compensator at a particular plant are well known. We refer to systems for which these conditions fail as critical. Clearly any choice of compensator must fail in at least one respect at a critical point. Either it is not structurally stable, or it does not asymptotically reject the exogenous system, or it does not stabilize the closed-loop system. However, existing theory does not reveal which of these occurs. In fact, we show that a compensator designed to regulate, with structural stability, a specified exogenous system, is necessarily destabilizing at a critical point. As an application of this result we derive an upper bound on structurally stable regulation under unstructured perturbation for any choice of system metric. |
| Sponsorship | American Autom. Control Council IFAC SICE |
| Starting Page | 2737 |
| Ending Page | 2740 |
| File Size | 416656 |
| Page Count | 4 |
| File Format | |
| ISBN | 0780372980 |
| ISSN | 07431619 |
| DOI | 10.1109/ACC.2002.1025201 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2002-05-08 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | American Automatic Control Council(AACC) |
| Subject Keyword | Stability Structural engineering Regulators Sufficient conditions Mechanical engineering Mathematics Statistics Linear systems Upper bound History |
| Content Type | Text |
| Resource Type | Article |
| Subject | Electrical and Electronic Engineering |
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