A control weighted minimum-variance controller for non-minimum phase systems
- 1 April 1981
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 33 (4) , 751-762
- https://doi.org/10.1080/00207178108922953
Abstract
A now minimum-variance type of control law is derived for use in self-tuning control schemes where the plant is non-minimum phase. The controller has some of the features of the minimum-variance controller and is related to the generalized or λ minimum-variance controller which includes control weighting terms. The controller has the advantage that when the control-weighting scalar tends to zero the system is assured of being asymptotically stable. The generalized minimum-variance controller, employed in the self-tuning control law, results in an unstable closed-loop system in this situation. The controller may also be used to stabilize plants which are both unstable and non-minimum phase (the closed-loop system corresponding to the generalized minimum variance controller may be unstable for all values of the weighting scalar in this situation)Keywords
This publication has 5 references indexed in Scilit:
- Solution of the discrete-time stochastic optimal control problem in the 2-domainInternational Journal of Systems Science, 1979
- Pole assignment self-tuning regulatorProceedings of the Institution of Electrical Engineers, 1979
- Discrete stochastic control with input constraintsProceedings of the Institution of Electrical Engineers, 1977
- Self-tuning controllerProceedings of the Institution of Electrical Engineers, 1975
- On self tuning regulatorsAutomatica, 1973