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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/30732
- Hysteresis switching adaptive control of linear multivariable systems
Weller, S. R.;
Goodwin, G. C.
- This paper presents a model reference adaptive control scheme for deterministic continuous-time multivariable systems represented by square, strictly proper, minimum-phase transfer function matrices. A typical requirement of existing algorithms is to assume that the zero structure at infinity and the high-frequency gain matrix are fully (or at least partially) known. It is well known that these requirements may be very restrictive, since, in general, both the zero structure at infinity and the high-frequency gain matrix depend on plant parameters. In this paper we show that these restrictive assumptions may be considerably weakened using Morse et al.'s hysteresis switching control strategy (1992). The strategy entails running a finite number of parameter estimators in parallel and using a switching algorithm to select between candidate estimators based on their associated prediction errors. Hysteresis in the switching algorithm precludes switching arbitrarily rapidly between estimators, and all switching ceases within a finite time. The results represent a significant step forward in understanding the minimal amount of prior knowledge necessary to design a stabilizing controller for a linear multivariable system.
- IEEE Transactions on Automatic Control Vol. 39, Issue 7, p. 1360-1375
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- Institute of Electrical and Electronics Engineers (IEEE)
linear multivariable systems;
transfer function matrices;
high-frequency gain matrix;
- Resource Type
- journal article
- Copyright © 1994 IEEE. Reprinted from IEEE Transactions on Automatic Control, Vol. 39, Issue 7, p. 1360-1375. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to firstname.lastname@example.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
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