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• W3211912480 abstract "In this paper we develop a systematic approach to the design of a digital controller for a linear plant. The digital controller is parametrized by an unknown or design, real parameter vector k, which may represent for instance, the coefficients of the digital controller transfer function. The stabilizing set ${mathcal{S}}$ in the space of these design parameters is an important and crucial piece of information which is needed to initiate the design process, since every design must reside in this set. In particular multiobjective design is impossible without determining this set. In general this set is not convex or even connected, its computation is di cult and few results are available. In this paper, we use Mikhailov’s criterion and the Tchebychev representation of a polynomial, evaluated on the unit circle, to determine an inner approximation ${{mathcal{S}}_i}$ of ${mathcal{S}}$, which is convex and described by linear inequalities. Applications of this result to the design of controllers are presented. In particular we show that a geometric approach to gain and phase margin based designs are feasible in this framework. Illustrative examples are presented with a focus on the practically important case of PI and PID controllers. The results should have application to many areas of digital controller design such as hard disk servomechanisms, driverless cars and robots." @default.
• W3211912480 created "2021-11-22" @default.
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• W3211912480 date "2021-10-13" @default.
• W3211912480 modified "2023-09-25" @default.
• W3211912480 title "Stabilizing Set Based Design of Digital Controllers Based on Mikhailov’s Criterion" @default.
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• W3211912480 doi "https://doi.org/10.1109/iecon48115.2021.9589659" @default.
• W3211912480 hasPublicationYear "2021" @default.
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