Design of fractional order robust controller for universal plant structure

Kesarkar, Ameya Anil; Selvaganesan, N.

doi:10.1109/nuicone.2011.6153305

Cited by 10 publications

(3 citation statements)

References 6 publications

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“…w [1,[8][9][10][11]. Ciekawe podejście zaproponowano w [12][13][14], gdzie autorzy analizowali ideę odpornego regulatora niecałkowitego rzędu.…”

Section: Wstępunclassified

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Parametric optimization of non-integer order controller PD^alfa

Zagórowska¹

2015

PAR

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Streszczenie: W artykule przeanalizowano zachowanie układu całkowitego rzędu ze sprzężeniem zwrotnym niecałkowitego rzędu. Przedstawiono nową metodę doboru optymalnych parametrów dla regulatorów typu PD α we wspomnianych układach z nieskończonym horyzontem. Zaprezentowano wykorzystaną metodę aproksymacji układów niecałkowitego rzędu z wykorzystaniem funkcji Laguerre'a oraz sformułowano problem w postaci zagadnienia minmax. Pokazano również przykładowy przebieg optymalizacji ze względu na parametry związane z typem aproksymacji.

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“…w [1,[8][9][10][11]. Ciekawe podejście zaproponowano w [12][13][14], gdzie autorzy analizowali ideę odpornego regulatora niecałkowitego rzędu.…”

Section: Wstępunclassified

“…Funkcje e k (θ, m) tworzą ortonormalny zbiór funkcji Laguerre'a parametryzowany przez m > 0, określony wzorem: (12) gdzie L k są wielomianami Lagerre'a, oraz k = 0, 1, 2, …. Dodatkowo, zob.…”

Section: Metoda Aproksymacjiunclassified

Parametric optimization of non-integer order controller PD^alfa

Zagórowska¹

2015

PAR

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“…Extension of this work to universal plant structure has been attempted in our previous work [18]. In these works, the focus has been to design fractional controller for the given plant transfer function to meet the required set of specifications.…”

Section: Introductionmentioning

confidence: 99%

A novel framework to design and compare limit cycle minimizing controllers: demonstration with integer and fractional-order controllers

2014

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In this paper, a constrained optimization problem is formulated to tune the limit cycle minimizing controllers meeting additional loop-shaping performances such as phase margin and gain crossover frequency. A graphical approach is proposed so as to determine the superior controller in terms of better limit-cycle suppression. The framework is illustrated with a suitable case of elementary servo plant which has separable static backlash nonlinearity in its model. For this plant, integer-order controllers and their fractional counterparts (PI and PI α , [PI] α ; PID and PI α D β ) are designed and compared. Interestingly, it is found that the fractional controllers produce better limit-cycle responses than their integer counterparts while both meeting the rest of the specifications. Correspondingly, the better sustained oscillations in the plant output response are obtained with fractional controllers. Such a 'fractional superiority' is further verified with the closed-loop nonlinear simulation.

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Parametric Optimization of Non-Integer Order PD $$^\mu $$ μ Controller for Delayed System

Zagórowska

2015

Theoretical Developments and Applications of Non-Integer Order Systems

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Design of fractional order robust controller for universal plant structure

Cited by 10 publications

References 6 publications

Parametric optimization of non-integer order controller PD^alfa

Parametric optimization of non-integer order controller PD^alfa

A novel framework to design and compare limit cycle minimizing controllers: demonstration with integer and fractional-order controllers

Parametric Optimization of Non-Integer Order PD $$^\mu $$ μ Controller for Delayed System

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