Abstract
With the jumping transfer matrix unknown, partly unknown or known, the stabilization problems for Markovian jump systems are considered by use of sliding mode control method in this paper. Firstly, a new integral sliding mode surface named stochastic sliding surface (SSS) is introduced. The SSS is characterized that the state trajectories are on the sliding surface all the time even at the time of system switching. So the problem of the state trajectories moving among several sliding surfaces by use of traditional sliding mode control method is settled perfectly. Based on the new sliding mode surface, sufficient conditions for the stability of the sliding mode dynamics are derived. Secondly, sliding mode control (SMC) law is synthesized to avoid the state trajectories escaping from the surface. Finally, some simulations are provided to illustrate the validity of the proposed method.
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.