Affine Characterizations of Minimal and Mode-Dependent Dwell-Times for Uncertain Linear Switched Systems
- 20 September 2012
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 58 (5) , 1304-1310
Abstract
An alternative approach for minimum and mode-dependent dwell-time characterization for switched systems is derived. While minimum-dwell time results require the subsystems to be asymptotically stable, mode-dependent dwell-time results can consider unstable subsystems and dwell-times within a, possibly unbounded, range of values. The proposed approach is related to Lyapunov looped-functionals, a new type of functionals leading to stability conditions affine in the system matrices, unlike standard results for minimum dwell-time. These conditions are expressed as infinite-dimensional LMIs which can be solved using recent polynomial optimization techniques such as sum-of-squares. The specific structure of the conditions is finally utilized in order to derive dwell-time stability results for uncertain switched systems. Several examples illustrate the efficiency of the approach.Keywords
All Related Versions
This publication has 30 references indexed in Scilit:
- An axiomatic fluid-flow model for congestion control analysis2011
- Nonlinear state-dependent delay modeling and stability analysis of internet congestion control2010
- Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems2009
- Switched control of an electropneumatic clutch actuator using on/off valves2008
- A positive systems model of TCP-like congestion control: asymptotic resultsIEEE/ACM Transactions on Networking, 2006
- Hybrid Modeling of TCP Congestion Control2001
- Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric conesOptimization Methods and Software, 1999
- A convex characterization of gain-scheduled H/sub ∞/ controllersIEEE Transactions on Automatic Control, 1995
- The complex structured singular valueAutomatica, 1993
- A stabilization algorithm for a class of uncertain linear systemsSystems & Control Letters, 1987