Asymptotic stability of controlling uncertain dynamical systems
- 1 May 1994
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 59 (5) , 1345-1355
- https://doi.org/10.1080/00207179408923134
Abstract
Asymptotic stabilization of general uncertain dynamical systems is investigated. A new class of continuous feedback controls is proposed to guarantee asymptotic stability for any uncertain systems whose nominal system is uniformly asymptotically stable. The analysis is based on a new theoretical result on asymptotical stability. The required information about uncertain dynamics in the system is merely that the uncertainties are bounded in euclidean norm by a known function of the system state.Keywords
This publication has 8 references indexed in Scilit:
- Robust Control of Generalized Dynamic Systems Without the Matching ConditionsJournal of Dynamic Systems, Measurement, and Control, 1991
- Robustness of uncertain systems in the absence of matching assumptionsInternational Journal of Control, 1987
- On the Robustness of Mismatched Uncertain Dynamical SystemsJournal of Dynamic Systems, Measurement, and Control, 1987
- Robust asymptotic tracking for linear systems with unknown parametersAutomatica, 1986
- A New Class of Stabilizing Controllers for Uncertain Dynamical SystemsSIAM Journal on Control and Optimization, 1983
- On ultimate boundedness control of uncertain systems in the absence of matching assumptionsIEEE Transactions on Automatic Control, 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