Abstract

The observer-based controller with finite-time bounded property design technique for a class of discrete-time Markov jump linear systems governed by deterministic switches is presented in this paper. Less conservative conditions are derived to ensure the state trajectories of the closed-loop systems keep within the desired bound in given-time interval by allowing the Lyapunov function to increase at every switching instant with a limited increasing rate. Meanwhile, considering the effect of time-delay on the transient performance of the systems, the analytic form of the relationship among time-delay, average dwell time and given finite time horizon are obtained through an average dwell time constraint. A numeric example is given to verify the results we derived.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

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.