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Decentralized Systems with Multi-controllers

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Decentralized Systems with Design Constraints

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Abstract

This chapter looks at particular classes of decentralized systems that incorporate multiple controllers in their basic operation. Three distinct types of these systems are identified: multi-channel time-delay systems, interconnected networked systems and discrete-systems with saturating controllers. In the first two types, the mathematical analysis treats initially with interconnected time-delay systems to develop general delay-dependent stability and stabilization results. Then, several interesting cases are derived. The subsystems are subjected to convex-bounded parametric uncertainties and/or additive feedback gain perturbations. The third type is concerned with stabilization decentralized linear saturating plants. The basic tool is the construction use of appropriate Lyapunov-Krasovskii functionals. We characterize decentralized linear matrix inequalities (LMIs)-based conditions. Resilient decentralized dynamic output-feedback stabilization schemes are designed such that the family of closed-loop feedback subsystems enjoys the delay-dependent asymptotic stability with a prescribed γ-level \({\mathcal{L}}_{2}\) gain for each subsystem.

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

    Magdi S. Mahmoud

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Mahmoud, M.S. (2011). Decentralized Systems with Multi-controllers. In: Decentralized Systems with Design Constraints. Springer, London. https://doi.org/10.1007/978-0-85729-290-2_4

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