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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