Stability and robustness of hybrid systems using discrete-time Lyapunov techniques
- 1 January 2000
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 1 (07431619) , 210-214 vol.1
- https://doi.org/10.1109/acc.2000.878830
Abstract
The paper concerns stability analysis of hybrid systems. The main contribution is the proposed approach of discrete-time modeling of continuous-time hybrid systems. Stability analysis and robustness properties are derived from linear Lyapunov theory in discrete time. The method is especially suited for time-switched systems but can also incorporate more complex switch structures. It is also shown how periodic switch sequences fit into the analysis. The resulting problem formulations are given as linear matrix inequalities (LMIs). As an alternative to the S-procedure it is shown how to reduce conservativeness with a reduction of the LMIs state dimension when the switch regions are hyper planes. An example shows that the number of LMIs and LMI variables are reduced compared to a continuous-time approach.Keywords
This publication has 8 references indexed in Scilit:
- Stability of switched and hybrid systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- On the computation of piecewise quadratic Lyapunov functionsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Computation of piecewise quadratic Lyapunov functions for hybrid systemsIEEE Transactions on Automatic Control, 1998
- Switched Controller Synthesis for the Quadratic Stabilisation of a Pair of Unstable Linear SystemsEuropean Journal of Control, 1998
- Lyapunov stability of continuous-valued systems under the supervision of discrete-event transition systemsLecture Notes in Computer Science, 1998
- LMI for stability and robustness of hybrid systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1997
- Linear Matrix Inequalities in System and Control TheoryPublished by Society for Industrial & Applied Mathematics (SIAM) ,1994
- Asymptotic Stability of m-Switched Systems using Lyapunov-Like FunctionsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1991