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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Blanchini, F. |
| Copyright Year | 1991 |
| Description | Author affiliation: Dipartimento di Matematica ed Inf., Udine, Italy (Blanchini, F.) |
| Abstract | Linear discrete-time systems affected by both parameter and input uncertainties are considered. The problem of the synthesis of a feedback control assuring that the system state is ultimately bounded within a given compact set containing the origin with an assigned speed of convergence is investigated. It is shown that the problem has a solution if and only if there exists a certain Lyapunov function which does not belong to a pre-assigned class of functions (i.e. the quadratic ones) but it is determined by the target set in which ultimate boundedness is desired. One of the advantages of this approach is that one can handle systems with control constraints. No matching assumptions are made. For systems with linearly constrained uncertainties, it is shown that such a function may be derived by numerically efficient algorithms involving polyhedral sets. An extension of the technique to continuous-time systems is presented.< |
| Starting Page | 1755 |
| Ending Page | 1760 |
| File Size | 582080 |
| Page Count | 6 |
| File Format | |
| ISBN | 0780304500 |
| DOI | 10.1109/CDC.1991.261708 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1991-12-11 |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Control systems Lyapunov method Uncertainty Feedback control Linear systems Riccati equations Control system synthesis Time varying systems Stability Sufficient conditions |
| Content Type | Text |
| Resource Type | Article |
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