Abstract
AbstractThe robust control for uncertain variable fractional order time‐varying delayed differential systems with nonlinear perturbations are concerned in this article. Firstly, by introducing a novel form of the control law which is inspired by the sliding mode design, a new state feedback controller is built. Besides, a specific and comprehensive Lyapunov–Krasovskii function is adopted to deduce the sufficient conditions for the stability and robust stabilization of the system by using some linear matrix inequalities. In addition, the controller gain matrix can also be derived from the point of stability. Finally, two comparison examples are presented to demonstrate the effectiveness of the proposed control technique. The simulation results show that this method can make the state variables converge to the steady ones more quickly and stably.
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.
