Robust partially mode delay dependent ℋ control of discrete-time networked control systems

Seunghwan Chae, Dan Huang and Sing Nguang

International Journal of Systems Science, 2012, vol. 43, issue 9, 1764-1773

Abstract: This article proposes a methodology for designing a partially mode delay dependent ℋ∞ controller design for discrete-time systems with random communication delays. Communication delays between sensors and controller are modelled by a finite state Markov chain where the transition probability matrix is partially known. Stability criteria are obtained based on Lyapunov–Krasovskii functional and a novel methodology for designing a partially mode delay dependent state feedback controller has been proposed. The controller is obtained by solving linear matrix inequality optimisation problems using cone complimentarity linearisation algorithm. A numerical example is provided to illustrate the effectiveness of the proposed controller.

Date: 2012
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DOI: 10.1080/00207721.2011.554913

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