Abstract
This paper concerns stability analysis of limit cycles in hybrid systems. Continuous-time hybrid systems are modeled in a discrete-time affine framework. The discrete-time approach is shown to be appropriate in order to find a Lyapunov formulation for the stability of a hybrid limit cycle. Multiple Lyapunov functions are associated with the transitions in the hybrid system so that the trajectory is shown to converge to the switch points of the limit cycle. The results are formulated in linear matrix inequalities (LMI) which gives a constructive way to find the Lyapunov functions using efficient algorithms. The results are applied to a two-tank example with discrete valued actuators.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.