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This paper proposes an optimal energy management approach combining sensitivities, interval, and probabilistic uncertainties of wind and solar power sources and loads in microgrid. Affine arithmetic (AA) is used to model the interval uncertainties and sensitivities in nodal power injections. However, all the elements in the interval solutions of AA-optimal power flow may not be significant in view...
Quantitative Feedback Theory (QFT), a robust control methodology for frequency response design, has been found to have favorable properties in many applications, particularly those in which performance robustness is a primary objective. In this paper preliminary results are developed in terms of sensitivity functions, giving definitive conditions under which the QFT closed loop specifications are...
This paper extends the results obtained in previous work on design of feedforward control in the presence of uncertainties. Two alternative designs are compared for the rejection of a specific mesasurable disturbance: a design based on feedback compensation alone and a second design combining both feedback and feedforward action. Extension of parametric ranges of the study provide additional insight...
The design of linear two-degree-of-freedom stabilizing controllers in a quadratic-cost setting is treated. The class of all such controllers which give finite cost is established and the trade-off possible between optimum performance, tracking-cost sensitivity, and stability margins is discussed.
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