Abstract
This paper deals with the stability problem of T-S fuzzy systems (TSFSs) with hybrid communication delays (HCDs). Compared with traditional communication delays, HCDs with Bernoulli distributed white noise sequences not only involve probabilistic discrete time-varying delays but also random additive time-varying delays (ATVDs). Based on the delay-product-type function (DPTF) and the second derivative method, a novel Lyapunov-Krasovskii functional (LKF) is developed, which fully considers the information of various communication delays. Moreover, by using novel integral inequalities and stochastic analysis theory, new stabilization criteria are established. Meanwhile, the desired fuzzy state feedback controller with HCDs and parallel distributed compensation (PDC) is designed by solving a set of linear matrix inequalities (LMIs). In the end, the usefulness of the obtained theoretical results is illustrated through two numerical simulation examples.
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.
