Stabilization of Arbitrary Switched Linear Systems With Unknown Time-Varying Delays
Authors:
- L. HetelLHL. Hetel
- J. DaafouzJDJ. Daafouz
- C. IungCIC. Iung
Top Cited Papers
- 9 October 2006
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 51 (10) , 1668-1674
Abstract
We consider continuous time switched systems that are stabilized via a computer. Several factors (sampling, computer computation, communications through a network, etc.) introduce model uncertainties produced by unknown varying feedback delays. These uncertainties can lead to instability when they are not taken into account. Our goal is to construct a switched digital control for continuous time switched systems that is robust to the varying feedback delay problem. The main contribution of this note is to show that the control synthesis problem in the context of unknown time varying delays can be expressed as a problem of stabilizability for uncertain systems with polytopic uncertaintiesKeywords
This publication has 17 references indexed in Scilit:
- Stability of Model-Based Networked Control Systems With Time-Varying Transmission TimesIEEE Transactions on Automatic Control, 2004
- Quadratic stabilizability of switched linear systems with polytopic uncertaintiesInternational Journal of Control, 2003
- Stability analysis and control synthesis for switched systems: a switched Lyapunov function approachIEEE Transactions on Automatic Control, 2002
- Real-Time Operating Systems: Problems and Novel Solutions2002
- Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertaintiesSystems & Control Letters, 2001
- Stability of networked control systemsIEEE Control Systems, 2001
- Multiple Lyapunov functions and other analysis tools for switched and hybrid systemsIEEE Transactions on Automatic Control, 1998
- Stochastic analysis and control of real-time systems with random time delaysAutomatica, 1998
- Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functionsIEEE Transactions on Automatic Control, 1996
- Lyapunov functions for uncertain systems with applications to the stability of time varying systemsIEEE Transactions on Circuits and Systems I: Regular Papers, 1994