Abstract
In this paper, we provide new stabilisation schemes for a class of linear Hybrid Time-Delay (HTD) systems under arbitrary switching. These schemes are delay-independent and delay-dependent H∞ stabilisation based on Proportional-Integral-Derivative (PID) feedback strategy. By adopting a selective Lyapunov-Krasovskii Functional (LKF), new criteria are constructed in a systematic way in terms of feasibility-testing of Linear Matrix Inequalities (LMIs). When the time-delay is a continuous bounded function, we derive the solution for nominal and polytopic models as well identifying several existing results as special cases. In case the time-delay is a differentiable time-varying function satisfying some bounding relations, we establish new parametrised LMI characterisations for PID feedback stabilisation. Numerical examples are provided to illustrate the theoretical developments.
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: International Journal of Systems, Control and Communications
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.
