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1

Fuzzy state feedback with double integrator and anti-windup for the Van de Vusse reaction

Márquez-Vera C. A., Màrquez-Vera M. A., Yakoub Z., Ma’arif A., Castro-Montoya A. J., Cázarez-Castro N. R.

Archives of Control Sciences

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2022

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Vol. 32, No. 2

383--408

EN

Chemical processes use to be non-minimum phase systems. Thereby, they are a challenge for control applications. In this paper, fuzzy state feedback is applied in the Van de Vusse reaction that has an inverse response. The control design has an integrator to enhance the control performance by eliminating the steady-state error when a step reference is applied. An anti-windup action is used to reduce the undershoot in the system response. In practice, it is not possible to have always access to all the state variables. Thus, a fuzzy state observer is implemented via LMIs. Frequently, the papers that show similar applications present some comments about disturbance rejection. To eliminate the steady-state error when a ramp reference is used, in this work, a second integrator is aggregated. Now, the anti-windup also reduces the overshoot generated due to the usage of two integrators in the final application.

2

Implementation of fuzzy PID controller in cascade with anti-windup to real-scale test equipment for pavements

Reyes-Ortiz Oscar Javier, Useche-Castelblanco Juan Sebastián, Vargas-Fonseca German Leandro

Engineering Transactions

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2020

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Vol. 68, iss. 1

3--19

EN

In the industry and academia, large-scale equipment has been developed, which requires control systems that provide safety and efficiency with the lowest possible energy consumption. In the industrial cascade control system, nested controllers have been a versatile tool for the control of large-scale equipment. Research shows that these types of controllers improve their performance with the integration of artificial intelligence algorithms and prevention methods against controller saturation. For this reason, this paper presents the development of a fuzzy proportional-integral-derivative (PID) controller in cascade with anti-windup (AW) for full-scale test equipment for pavements. In this study, the mathematical expressions for the equipment, the design of the controller and additional systems for comparison, simulation and analysis are developed. The main objective is to test the functionality of this type of nested controllers for these systems.

3

Fractional variable order anti-windup control strategy

Sierociuk D., Malesza W.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2018

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Vol. 66, nr 4

427--432

EN

In this paper, a novel anti-windup strategy is presented. It is based on using fractional variable order integrator instead of integer order one in PID controller. It is shown that among four different types of variable order derivative definitions, only one gives satisfactory results – comparable, and even slightly better than the classical back-calculation anti-windup algorithm. Results are also presented in the form of simulation plots.

4

Anti-windup strategy for an LQ current controller with oscillatory terms for three-phase grid-tie VSCs in SMES systems

Gałecki A., Grzesiak L., Ufnalski B., Kaszewski A., Michalczuk M.

Power Electronics and Drives

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2016

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Vol. 1 (36), No. 2

65--81

EN

The paper presents a linear-quadratic current controller with damped oscillatory terms designed for three-phase grid-tie voltage source converters used in SMES systems and operated under distorted grid voltage conditions. Special emphasis is placed on a synthesis of an anti-windup mechanism to prevent wind-up derived from the oscillatory terms by the use of a new active damping loop based on a simple moving average method. As a consequence, the current feedback gain may be increased without unwanted overshoot and overruns, and performance of the system can be improved.

5

Review of Anti-Windup strategies for PI speed controllers in Field Oriented Control of Permanent Magnet Synchronous Machines

Espina J., Arias A., Balcells J., Ortega C.

Przegląd Elektrotechniczny

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2009

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R. 85, nr 10

262-266

EN

The work presented in this paper addresses the unwanted windup phenomenon reviewing and comparing different PI anti-windup strategies employed in speed control of electric drives. The tuning process of PI controllers is usually carried out considering the system as linear and therefore disregarding its physical limits such as maximum current and voltage. To safeguard the system's integrity, the PI output is normally limited eventually causing the windup phenomenon characterized by long periods of overshoots which may even result in instability. Firstly, this paper models and tunes the current and speed PI controllers with the root locus method for Field Oriented Control of a Permanent Magnet Synchronous Machines. Secondly, it is shown the mentioned unwanted Windup phenomenon in the speed loop. Finally, the Anti-Windup strategies are simulated and their behavior are compared when driving a Permanent Magnet Synchronous Machine with Field Oriented Control. Finally, some experimental results obtained from a PMSM Matrix Converter-fed set up have been carried out. These results corroborate the mathematical study and simulations presented all over this paper.

PL

Artykuł dotyczy niepożądanego efektu "windup" (wzrost amplitudy sygnału wyjściowego regulatora całkującego, wynikający z nasycenia elementu wykonawczego), przedstawionego na tle różnych strategii "anti-windup" dla regulatora PI prędkości obrotowej silników elektrycznych. Podczas strojenia, regulator PI jest zazwyczaj traktowany jako liniowy, z pominięciem fizycznych ograniczeń takich jak maksymalny prąd i napięcie, natomiast, w praktyce efekt "windup" zwiększa czas przeregulowania, co może skutkować niestabilnością systemu. W artykule pokazano modele i nastawy regulatorów PI prądu i prędkości z zastosowaniem metody Evansa dla sterowania polowo zorientowanego maszyn synchronicznych z magnesami stałymi. Opisano również efekt "windup" w pętli sprzężenia prędkościowego oraz przedstawiono i porównano wyniki badań symulacyjnych dla różnych strategii "anti-windup", a także wybrane wyniki eksperymentalne dla przypadku zasilania PMSM z przekształtnika matrycowego. Uzyskane wyniki laboratoryjne potwierdzają opis matematyczny i wyniki badań symulacyjnych.

6

Zmiany w algorytmie MCT kompensacji zjawiska windup

Horla D.

Studia z Automatyki i Informatyki

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2008

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T. 33

85-102

PL

W artykule przedstawiono nowy, zmieniony, schemat kompensacji zjawiska windup w zastosowaniu do regulatora z lokowaniem biegunów. Zawarto również całościową analizę jakości kompensacji zaproponowanego kompensatora dla klasy stabilnych minimalnofazowych dyskretnych obiektów drugiego rzędu o charakterystyce oscylacyjnej i aperiodycznej, dla różnych wartości opóźnienia. Porównano jakość kompensacji z klasycznym kompensatorem MCT z trzema zaproponowanymi jego zmianami, dając przyczynek do zaproponowania nowego schematu kompensacji. W artykule przedstawiono również krytyczną dyskusję czy należy stosować kompensację zjawiska windup.

EN

New anti-windup scheme is presented in application to pole-placement control, with a complete analysis of its behaviour for a class of second-order minimumphase stable plants of oscillatory and aperiodic characteristics with different dead times. The classical modified conditioning technique anti-windup compensator performance is compared with is three proposed modifications, arising in new compensation scheme. A critical discussion of the necessity of compensation is also given.