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Decentralized Systems with Design Constraints pp 95–181Cite as

Decentralized Control of Nonlinear Systems II

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Abstract

In this chapter, we start our examination of the development of decentralized control techniques for interconnected systems where we focus on the classes of nonlinear continuous-time systems. We focus on interconnected minimum-phase nonlinear systems with parameter uncertainty and bounded and/or strong nonlinear interconnections. The objective is to design a robust decentralized controller such that the closed-loop large-scale interconnected nonlinear system is globally asymptotically stable for all admissible uncertain parameters and interconnections. The design is recursive in nature. By employing \({\mathcal{H}}_{\infty}\) performance, the solution of the decentralized control problem is attained via the Hamilton-Jacobi-Isaacs (HJI) inequalities. Finally, a decentralized output-feedback tracking problem with disturbance attenuation is addressed for a new class of large-scale and minimum-phase nonlinear systems. Application of decentralized stabilization and excitation controls of multimachine power systems are demonstrated.

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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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Mahmoud, M.S. (2011). Decentralized Control of Nonlinear Systems II. In: Decentralized Systems with Design Constraints. Springer, London. https://doi.org/10.1007/978-0-85729-290-2_3

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  • DOI: https://doi.org/10.1007/978-0-85729-290-2_3

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