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Decentralized Systems with Design Constraints pp 227–301Cite as

Decentralized Quantized Control

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Abstract

In this chapter, we examine the problem of decentralized quantized feedback stabilization for a class of linear interconnected systems. Both continuous-time and discrete-time systems are treated. In either case, the system has unknown-but-bounded couplings and interval delays. Two approaches have been addressed: the first approach incorporates typical quantizers (like uniform-type or logarithmic-type) and the second approach provides a generalized setting where the quantizer has arbitrary form that satisfies a quadratic inequality constraint. A decentralized quantized output-feedback controller is designed at the subsystem level to render the closed-loop system is delay-dependent asymptotically stable with guaranteed γ-level. Several special cases of interest are derived. We illustrate the theoretical developments by numerical simulations.

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Authors and Affiliations

  1. Department of Systems Engineering, King Fahd Univ. of Petroleum & Minerals, Dhahran, 31261, Saudi Arabia

    Magdi S. Mahmoud

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  1. Magdi S. Mahmoud
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Correspondence to Magdi S. Mahmoud .

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Mahmoud, M.S. (2011). Decentralized Quantized Control. In: Decentralized Systems with Design Constraints. Springer, London. https://doi.org/10.1007/978-0-85729-290-2_5

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  • DOI: https://doi.org/10.1007/978-0-85729-290-2_5

  • Publisher Name: Springer, London

  • Print ISBN: 978-0-85729-289-6

  • Online ISBN: 978-0-85729-290-2

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