Global adaptive pole positioning
Authors:
- Richard McGregor JohnstoneRJRichard McGregor Johnstone
- 1 January 1985
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 30 (1) , 11-22
Abstract
Adaptive pole positioning for linear time-invariant discrete-time systems is considered, under the constraint that the controller consists of an identifier, the gains in which do not go to zero, an observer, and a state feedback law (the latter two elements being viewed in transfer function form). A globally convergent algorithm is presented for achieving a prescribed set of closed-loop poles. Persistency of excitation of an external input is required, together with an underbound on the magnitude of the Sylvester resultant of the plant numerator and denominator polynomials, this in effect being an underbound on the product of a measure of pole-zero separation and a generalized gain.Keywords
This publication has 17 references indexed in Scilit:
- Global adaptive pole placement: Detailed analysis of a first order system1982
- Exponential convergence of recursive least squares with exponential forgetting factor —adaptive controlSystems & Control Letters, 1982
- Exponential convergence of adaptive identification and control algorithmsAutomatica, 1982
- Adaptive control via adaptive observation and asymptotic feedback matrix synthesisIEEE Transactions on Automatic Control, 1980
- Self-tuning controllers based on pole-zero placementIEE Proceedings D Control Theory and Applications, 1980
- Generalised self-tuning controller with pole assignmentIEE Proceedings D Control Theory and Applications, 1980
- Self-tuning pole/zero assignment regulatorsInternational Journal of Control, 1979
- Parameter adaptive identification and control1978
- Some geometric questions in the theory of linear systemsIEEE Transactions on Automatic Control, 1976
- Linear Multivariable Systems1974