Optimization of affine dynamic systems evolving with state suprema: New perspectives in maximum power point tracking control

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Institute of Electrical and Electronics Engineers Inc.

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This paper studies optimization of dynamic systems described by affine Functional Differential Equations (FDEs) involving a sup-operator. We deal with a class of FDEs-featured Optimal Control Problems (OCPs) in the presence of some additional control constraints. Our aim is to derive the first-order optimality conditions and propose an effective solution algorithm. Moreover, we are interested in applications of the resulting optimal design techniques to the Maximum Power Point Tracking (MPPT) control of solar energy plants. We develop a conceptual computational approach to the specific class of OCPs under consideration and also point possible applications of this new methodology in MPPT control. © 2017 IEEE.

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Automation, Differential equations, Optimal control systems, Process control, Solar energy, Additional control, Computational approach, Effective solution, First-order optimality condition, Functional differential equations, Maximum power point tracking controls, Optimal control problem, Solar energy plants, Maximum power point trackers

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