Abstract
This paper investigates quadratic stabilization of switched systems which are composed of uncertain affine subsystems, where both subsystem matrices and affine vectors are switched, and no single subsystem is quadratically stable. We show that if a linear convex combination of subsystem linear parts satisfies a convex stabilizability and robust detectability condition, and another convex combination of affine vectors is zero, then we design an output-dependent switching law such that the entire uncertain switched affine system is quadratically stable. The discussion is extended to the case of designing output feedback and switching laws simultaneously.
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.
