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Robust reliable control design for networked control system with sampling communication
Authors:R. Sakthivel  Srimanta Santra  Hongye Su
Affiliation:1. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea;2. Department of Mathematics, Sri Ramakrishna Institute of Technology, Coimbatore 641 010, India;3. Department of Mathematics, Regional Centre, Anna University, Coimbatore 641 047, India;4. National Laboratory of Industrial Control Technology, Institute of Cyber-System and Control, Zhejiang University, Yuquan Campus, Hangzhou 310027, P.R. China
Abstract:
In this article, the problem of robust exponential stability and reliable stabilisation for a class of continuous-time networked control systems (NCSs) with a sample-data controller and unknown time-varying sampling rate is considered. The analysis is based on average dwell-time, Lyapunov–Krasovskii functional and linear matrix inequality (LMI) technique. The delay-dependent criteria are developed for ensuring the robust exponential stability of the considered NCSs. The obtained conditions are formulated in terms of LMIs that can easily be solved by using standard software packages. Furthermore, the result is extended to study the robust stabilisation for NCS with parameter uncertainties. A state feedback controller is constructed in terms of the solution to a set of LMIs, which guarantee the robust exponential stabilisation of NCS and the controller. Finally, numerical examples are presented to illustrate the effectiveness of the obtained results.
Keywords:reliable control  exponential stability  networked control system  sampled-data system
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