Abstract
This brief addresses the problem of robust and reliable ${\mathscr {H}_{\infty }}$ static output feedback (SOF) control for uncertain discrete-time piecewise-affine (PWA) systems with sensor failure in a descriptor system framework. The Markov chain is employed to describe the sensor failure behaviors. In particular, by utilizing a system augmentation approach, the conventional closed-loop system is initially converted into a descriptor PWA model. On the basis of a mode-dependent piecewise Lyapunov function, combined with S-procedure, a novel ${\mathscr {H}_{\infty }}$ performance analysis criterion is then presented. Furthermore, by some elegant linearization techniques, the PWA SOF controller design is proposed in terms of the feasibility of a convex optimization problem. Lastly, a numerical example illustrates the effectiveness and less conservatism of the proposed approach.
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 callMore From: IEEE Transactions on Circuits and Systems II: Express Briefs
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.
