Abstract
The issue of dynamic feedback H∞ control in this paper is carefully revisited for singular systems with interval time-varying delays. A Lyapunov-Krasovskii functional, made up of state decomposition components and relatively few decision variables, is proposed. Further, a delay-dependent admissible criterion (conforming to non–impulsiveness, regularity, and stability) with a given H∞ performance index for the unforced nominal singular systems is founded by some linear matrix inequalities. Subsequently, a dynamic feedback controller for the closed–loop system is designed and the corresponding admissibility conditions are obtained. By means of a state decomposition recombination method, the desired dynamic feedback controller parameters are clearly determined by solving each decomposition component of the dynamic feedback controller. Interestingly, our results can enhance the previous results and the method proposed has greater flexibility. By numerical examples, some comparisons are shown to reveal the superiority and feasibility of our method.
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.
