Abstract
This paper investigates the problems of stochastic stability and the sliding mode control of a class of continuous-time Markovian jump linear system with partially unknown transition probabilities. The method proposed is more general and includes two special cases where transition probabilities are completely known and completely unknown. Firstly, by using linear matrix inequalities(LMIs) approach, a laconic sufficient condition is proposed to insure the stochastic stability of reduced-order systems. Then, a succinct method is given to obtain stochastic stable sliding mode surface. Furthermore, we design a sliding mode controller to guarantee the convergence of the closed-loop system’s state trajectories to the desired sliding switching in finite time and eliminate the chattering for all subsequent time. At last, an example of the single-link robot arm is provided to demonstrate the advancement of our method.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
