Robust stabilization for a class of discrete-time non-linear systems via output feedback: The unified LMI approach
- 1 January 2003
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 76 (2) , 105-115
Abstract
This paper discusses a robust stabilization problem for a class of multi-input and multi-output (MIMO) discrete-time non-linear systems with both state and control inputs containing non-linear perturbations. The problem is solved via static output feedback and dynamic output feedback, respectively. A unified approach is used to cast the problem into a convex optimization involving linear matrix inequalities (LMI), all the controllers can robustly stabilize the systems and maximize the bound on the non-linear perturbations. This paper also extends the output feedback centralized design approach to a class of discrete-time MIMO non-linear decentralized systems, both robust static and dynamic output feedback controllers are obtained.Keywords
This publication has 12 references indexed in Scilit:
- Quadratic stability and stabilization of uncertain linear discrete-time systems with state delaySystems & Control Letters, 2001
- Robust stability and stabilization of discrete-time non-linear systems: The LMI approachInternational Journal of Control, 2001
- Robust stabilization of nonlinear systems: The LMI approachMathematical Problems in Engineering, 2000
- Robust H∞ control for linear discrete-time systems with norm-bounded time-varying uncertaintySystems & Control Letters, 1996
- Linear and nonlinear stabilizing continuous controllers of uncertain dynamical systems including state delayIEEE Transactions on Automatic Control, 1996
- Stability robustness bound estimates of discrete systems: analysis and comparisonInternational Journal of Control, 1994
- Robust stabilization of discrete-time linear systems with norm-bounded time-varying uncertaintySystems & Control Letters, 1994
- Designing stabilizing control of uncertain systems by quasiconvex optimizationIEEE Transactions on Automatic Control, 1994
- Stability robustness of linear discrete-time systems in the presence of uncertaintyInternational Journal of Control, 1989
- A riccati equation approach to the stabilization of uncertain linear systemsAutomatica, 1986