Design and application of reduced-order adaptive observer with exponential rate of convergence for single-input single-output linear systems
- 1 February 1984
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 39 (2) , 375-393
- https://doi.org/10.1080/00207178408933172
Abstract
This paper is concerned with the design of an adaptive observer to estimate state variables and identify parameters of an unknown linear single-input single-output system with desired rate of exponential convergence. The observer structure is based on the Kreisselmeier types representation of parametrized form, but the adaptive law is obtained by a new scheme. The adaptive law is determined by equations forcing the errors into decreasing exponentially and it is designed to guarantee the asymptotic stability of the identification and estimation processes globally. A method of reducing the order of the adaptive law is also proposed. The reduction of the order is executed by using a priori information regarding relations between the unknown parameters. An experimental application using a heated tank with water jacket is included to show the practical effectiveness of the reduced-order adaptive scheme.Keywords
This publication has 8 references indexed in Scilit:
- Parameter adaptive identification and controlIEEE Transactions on Automatic Control, 1979
- An adaptive observer incorporating A Priori system dataIEEE Transactions on Automatic Control, 1979
- Adaptive observers with exponential rate of convergenceIEEE Transactions on Automatic Control, 1977
- Exponential stability of linear equations arising in adaptive identificationIEEE Transactions on Automatic Control, 1977
- A useful transformation in the synthesis of adaptive observersIEEE Transactions on Automatic Control, 1976
- 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
- Synthesis of an adaptive observer using Lyapunov's direct methodInternational Journal of Control, 1973