Model reference control of uncertain systems with time delays in plant state and control
- 1 January 1987
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 18 (9) , 1609-1626
- https://doi.org/10.1080/00207728708967139
Abstract
We consider a linear model reference control system in which the plant system and input matrices are uncertain and the plant state and control have retarded arguments. We present a control system consisting of a non-linear control law to handle the uncertainties. Under certain assumptions, this controller guarantees that all solutions are uniformly ultimately bounded. We also demonstrate the attractiveness of the switching hypersurface and show that along the hypersurface the trajectories are insensitive to system parameter variations.Keywords
This publication has 7 references indexed in Scilit:
- Uniform ultimate boundedness of the solutions of uncertain dynamic delay systems with state-dependent and memoryless feedback controlInternational Journal of Control, 1983
- A New Class of Stabilizing Controllers for Uncertain Dynamical SystemsSIAM Journal on Control and Optimization, 1983
- Properties of Min-Max Controllers in Uncertain Dynamical SystemsSIAM Journal on Control and Optimization, 1982
- Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systemsIEEE Transactions on Automatic Control, 1981
- Uncertain dynamical systems--A Lyapunov min-max approachIEEE Transactions on Automatic Control, 1979
- Retarded functional differential equations: basic theoryPublished by Springer Nature ,1977
- Asymptotic stability of model reference systems with bang-bang controlIEEE Transactions on Automatic Control, 1975