A stable adaptive implementation of the internal model principle
- 1 January 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 37 (8), 1220-1225
- https://doi.org/10.1109/9.151111
Abstract
An adaptive implementation of the internal model principle for linear time-invariant systems that allows for rejection of unknown deterministically modeled disturbances is provided. The minimal representation of the system model is used for parameter estimation, and the global convergence and stability of the algorithm are investigated with unmodeled dynamics. With proper modification of the parameter estimation algorithm, global convergence and stability for the algorithm are obtained without the requirement of persistent excitation. Some simulation results are given to support the analysis.Keywords
This publication has 16 references indexed in Scilit:
- An adaptive control algorithm for linear systems having unknown time delayAutomatica, 1988
- Design issues in adaptive controlIEEE Transactions on Automatic Control, 1988
- A new adaptive law for robust adaptation without persistent excitationIEEE Transactions on Automatic Control, 1987
- Stability analysis of an adaptive system with unmodelled dynamics!International Journal of Control, 1985
- Robust redesign of adaptive controlIEEE Transactions on Automatic Control, 1984
- Stability analysis of adaptively controlled systems subject to bounded disturbancesAutomatica, 1983
- Stable model reference adaptive control in the presence of bounded disturbancesIEEE Transactions on Automatic Control, 1982
- The internal model principle of control theoryAutomatica, 1976
- Feedback Systems: Input-Output PropertiesJournal of Dynamic Systems, Measurement, and Control, 1975
- Slowly varying discrete systemxi+1=AixiElectronics Letters, 1970