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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Kuipers, M. Ioannou, P. |
| Copyright Year | 1963 |
| Abstract | Despite the remarkable theoretical accomplishments and successful applications of adaptive control, the field is not sufficiently mature to solve challenging control problems where strict performance and robustness guarantees are required. Critical to the design of practical control systems for these challenging applications, and currently lacking in parameter estimation-based adaptive control schemes, is an approach that explicitly accounts for robust-performance and stability specifications. Towards this goal, this paper describes a robust adaptive control approach called adaptive mixing control that makes available the full suite of powerful design tools from LTI theory, e.g., mixed-μ synthesis. The stability and robustness properties of adaptive mixing control are analyzed. It is shown that the mean-square regulation error is of the order of the modeling error provided the unmodeled dynamics satisfy a norm-bound condition. And when the parameter estimate converges to its true value, which is guaranteed if a persistence of excitation condition is satisfied, the adaptive closed-loop system converges exponentially fast to a closed-loop system comprising the plant and some LTI controller that satisfies the control objective. A benchmark example is presented, which is used to compare the adaptive mixing controller with other adaptive schemes. |
| Sponsorship | IEEE Control Systems Society |
| Starting Page | 1822 |
| Ending Page | 1836 |
| Page Count | 15 |
| File Size | 1468488 |
| File Format | |
| ISSN | 00189286 |
| Volume Number | 55 |
| Issue Number | 8 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2010-08-01 |
| Publisher Place | U.S.A. |
| Access Restriction | One Nation One Subscription (ONOS) |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Adaptive control Programmable control Robust control Control systems Uncertainty Robust stability Parameter estimation Stability analysis Power system modeling Adaptive systems robust adaptive control Multiple model adaptive control |
| Content Type | Text |
| Resource Type | Article |
| Subject | Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications |
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