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Fault‐tolerant sampled‐data mixed ℋ∞ and passivity control of stochastic systems and its application
Authors:Maya Joby  R Sakthivel  K Mathiyalagan  S Marshal Anthoni
Institution:1. Department of Mathematics, Anna University‐Regional Centre, Coimbatore, Tamilnadu, India;2. Department of Mathematics, Sri Ramakrishna Institute of Technology, Coimbatore, Tamilnadu, India;3. Department of Mathematics, Sungkyunkwan University, Suwon, South Korea
Abstract:This article addresses the problem of fault‐tolerant sampled‐data mixed urn:x-wiley:10762787:media:cplx21701:cplx21701-math-0001 and passivity control for a class of stochastic system with actuator failures, where the plant is modeled as a continuous‐time one and the control inputs are implemented as discrete‐time signals. Sufficient conditions for the reliable sampled‐data mixed urn:x-wiley:10762787:media:cplx21701:cplx21701-math-0002 and passivity performance control law is established for the considered systems by constructing an appropriate Lyapunov–Krasovskii functional together with the Newton–Leibniz formula and free‐weighting matrix technique. More precisely, linear matrix inequality based sampled‐data methodology is employed to design the mixed urn:x-wiley:10762787:media:cplx21701:cplx21701-math-0003 and passivity formation controller to reject the impact of the formation changes being treated as disturbances. Simulation studies are performed based on the flight control model to verify the stability, performance, and effectiveness of the proposed design strategy. © 2015 Wiley Periodicals, Inc. Complexity 21: 420–429, 2016
Keywords:fault‐tolerant control  stochastic system  actuator failures  sampled‐data approach
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