Stable Adaptive Schemes for System Identification and Control - Part II
- 1 November 1974
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Systems, Man, and Cybernetics
- Vol. SMC-4 (6) , 552-560
- https://doi.org/10.1109/tsmc.1974.4309364
Abstract
The extension of some of the results contained in Part I [1] to the case when only the plant outputs rather than all its state variables are accessible for measurement is discussed. A unified approach to the synthesis of an adaptive observer is presented whereby the plant state and parameters are simultaneously estimated. Uniform asymptotic stability of the scheme is proved using Lyapunov's direct method. The information provided by the adaptive observer is used to synthesize an adaptive controller for the plant. While all the principal results obtained here are for the case of a single-input single-output plant, extensions to special classes of multivariable systems is indicated.Keywords
This publication has 6 references indexed in Scilit:
- A new canonical form for an adaptive observerIEEE Transactions on Automatic Control, 1974
- An adaptive observer and identifier for a linear systemIEEE Transactions on Automatic Control, 1973
- An adaptive observer for single-input single-output linear systemsIEEE Transactions on Automatic Control, 1973
- The Kalman-Yacubovich lemma in adaptive control system designIEEE Transactions on Automatic Control, 1973
- Synthesis of an adaptive observer using Lyapunov's direct methodInternational Journal of Control, 1973
- On the Existence of Lyapunov Function for the Problem of Lur’eJournal of the Society for Industrial and Applied Mathematics Series A Control, 1965