Robust output feedback stabilisation for uncertain systems
- 1 September 2003
- journal article
- Published by Institution of Engineering and Technology (IET) in IEE Proceedings - Control Theory and Applications
- Vol. 150 (5), 477-482
- https://doi.org/10.1049/ip-cta:20030759
Abstract
The problem of robust stabilising is considered for uncertain systems using linear static output feedback (SOF) controllers and linear dynamical output feedback (DOF) controllers with fixed order. The existence conditions of output feedback controllers are given by matrix inequalities and result in some nonlinear optimisation problems. A class of uncertain plants whose nominal systems are minimal phase with a full row rank can be robustly stabilised by an SOF controller and DOF controller with any order, and controllers can be obtained by solving some linear matrix inequalities (LMIs). The method is demonstrated by two numerical examples.Keywords
This publication has 7 references indexed in Scilit:
- Static output feedback stabilisation with H∞ performance for a class of plantsSystems & Control Letters, 2001
- Advances in Linear Matrix Inequality Methods in ControlPublished by Society for Industrial & Applied Mathematics (SIAM) ,2000
- Design of static output feedback controller for uncertain systemsAutomatica, 1999
- Linear Matrix Inequalities in System and Control TheoryPublished by Society for Industrial & Applied Mathematics (SIAM) ,1994
- Stabilizability conditions of multivariable uncertain systems via output feedback controlIEEE Transactions on Automatic Control, 1990
- Output feedback stabilization of uncertain dynamical systemsIEEE Transactions on Automatic Control, 1985
- Necessary and sufficient conditions for quadratic stabilizability of an uncertain systemJournal of Optimization Theory and Applications, 1985