Decentralized Reliable Control of Interconnected Time-Delay Systems Against Sensor Failures

Ali Y. Al-Rayyah () and Magdi S. Mahmoud ()
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Ali Y. Al-Rayyah: King Fahd University of Petroleum and Minerals
Magdi S. Mahmoud: King Fahd University of Petroleum and Minerals

Journal of Optimization Theory and Applications, 2010, vol. 147, issue 2, No 7, 318-336

Abstract: Abstract In this paper, we study the problem of designing decentralized reliable feedback control methods under a class of control failures for a class of linear interconnected continuous-time systems having internal subsystem time-delays and additional time-delay couplings. These failures are described by a model that takes into consideration possible outages or partial failures in every single actuator of each decentralized controller. The decentralized control design is performed through two steps. First, a decentralized stabilizing reliable feedback control set is derived at the subsystem level through the construction of appropriate Lyapunov-Krasovskii functional and, second, a feasible linear matrix inequalities procedure is then established for the effective construction of the control set under different feedback schemes. Two schemes are considered: the first is based on state-measurement and the second utilizes static output-feedback. The decentralized feedback gains in both schemes are determined by convex optimization over linear matrix inequalities. We characterize decentralized linear matrix inequality-based feasibility conditions such that every local closed-loop subsystem of the linear interconnected delay system is delay-dependent robustly asymptotically stable with an γ-level ℒ2-gain. The developed results are tested on a representative example.

Keywords: Interconnected time-delay systems; Reliable decentralized control; Delay-dependent stability; LMIs (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-010-9724-z

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