Abstract
A novel delay-distribution approach is proposed for a continuous-time networked control system (NCS) with time-varying transmission delays and transmission intervals based on an input-delay approach. The real-time distribution of input delays is modeled as a continuous-dependent and nonidentically distributed (d.n.d.) process. By introducing multiple indicator functions, the NCS is represented as a hybrid system with multiple input delay subsystems. An improved Lyapunov-Krasovskii method is proposed and it additionally exploits the real-time distribution of input delays by means of estimating the cross-product integral terms of the infinitesimal of the Lyapunov functional using a new bounding technique. Delay-distribution-dependent sufficient conditions are derived for the deterministic exponential stability and stabilizability of the NCS, which leads to tighter bounds of input delays than existing results. The resulting controller design method is formulated as an iterative linear optimization algorithm subject to linear matrix inequality constraints. Finally, numerical examples are presented to substantiate the effectiveness and advantage of the results.
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.
