A self-tuning fuzzy PID controller with real-time implementation on a position control system

Dey, Chanchal; Mudi, Rajani K.; Mitra, Pubali

doi:10.1109/eait.2012.6407855

Cited by 15 publications

(11 citation statements)

References 6 publications

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“…The relationships between SFs (G e , G ǻe , G u , and G ǻu ) and the input and output variables (e w , ǻe, u, and ǻu) are given by (1)- (4). For FPI the control action at k th sampling instant is given by (5). Fuzzy PID control action (u FPID ) of the proposed DSWFPID is obtained by summing the weighted outputs of FPI (u FPI ) and FPD (u FPD ) as given by (6).…”

Section: Controller Designmentioning

confidence: 99%

“…Unlike the conventional PID controllers though the fuzzy PID controllers do not have any standard structure or tuning guideline, till they are now being increasingly used in various complex and nonlinear industrial control applications [4]. Fuzzy PID controllers are usually realized by combining the output of a fuzzy PI and fuzzy PD controllers with suitable output scaling factors [5]. To restrict the process overshoot within acceptable limit fixed or variable set-point weighting technique [6][7][8] offers an effective solution but at the cost of increased rise time.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Set-Point Weighted Fuzzy PID Controller

Mitra¹,

Dey

Mudi

2013

2013 International Symposium on Computational and Business Intelligence

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A fuzzy PID controller with dynamic set-point weighting technique is proposed. Fuzzy PID controller is realized by combining the control actions produced by a fuzzy PI and fuzzy PD controllers with suitable output scaling factors. Input to the fuzzy controllers i.e., error and change of error are calculated from the dynamically weighted set-point for each sampling instant. The dynamic weighting factor is calculated online from a simple relation consisting of normalized change of error and normalized process dead time. The proposed dynamic set-point weighted fuzzy PID controller provides a significant amount of performance enhancement for higher order processes with dead time, verified through simulation as well as real time implementation. Unlike to the conventional fixed set-point weighting which offers only improved set-point response, our proposed dynamic set-point weighting is capable to provide simultaneous improvement during both the set-point tracking as well as load variation with considerable robustness in close-loop behavior.

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Section: Controller Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic Set-Point Weighted Fuzzy PID Controller

Mitra¹,

Dey

Mudi

2013

2013 International Symposium on Computational and Business Intelligence

Self Cite

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“…Thus, it is the most popular type of FPID controller used in various studies and applications [17]. Several approaches have been presented to adjust the scale factors in the different configurations of two-input FPID controllers, such as self-tuning [18], trial and error [19], saturation-based tuning methods [20], and using genetic algorithms [21].…”

Section: Introductionmentioning

confidence: 99%

A novel method for fuzzy scale factors scheduling in fuzzy PD+I with anti-windup system controllers

Sartorius-Castellanos¹,

Moreno-Vázquez²,

Antonio-Ortiz³

et al. 2016

Rev. Fac. Ing. Univ. Antioquia

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ABSTRACT:The adjustment of scale factors in fuzzy controllers is a key factor in their correct functioning. In two-inputs fuzzy PID controllers, such as fuzzy PI+D (FPI+D) and fuzzy PD+I (FPD+I), the adjustment of scale factors is directly related to the adjustment of the gains of a PID controller using some of the traditional methods of adjustment. In systems that have control signal saturation, fuzzy PID controllers require anti-windup systems (AW) that limit the controller's integral action. In these situations, the adjustments of scale factors are not directly related to the adjustment of gains of a PID controller. Its use increases the overall gain system and creates an unbounded controller, which causes a faster response in the transient state but an oscillatory behavior and even critical stability in the steady state of the response. A solution to this problem is to reduce the output scale factor, to create a bounded controller, in which the tracking time constant is augmented. Consequently, the system presents more bounded oscillations in the steady state, but the transient response is slower. The main motivation of this research was to develop an approach for adjusting fuzzy PD+I controllers with an anti-windup system (FPD+I AW) with faster response in the transient state and without oscillatory behavior in the steady state. This approach uses a second fuzzy controller, which adjusts the output scale factor and the tracking time constant according to the actual system error. To verify the effectiveness of the proposed approach, a fuzzy PD+I controller with an AW system based on tracking back calculation and fuzzy scale factor scheduling (FPD+I AW-FSFS) was implemented and used to control the speed in a direct current motor with control signal saturation and was compared with the responses of FPD+I unbounded and FPD+I bounded controllers with AWs based on tracking back calculation, thereby proving the effectiveness of the proposed method. RESUMEN:El ajuste de los factores de escala en los controladores difusos es un factor clave para su correcto funcionamiento. En controladores difusos PID con dos entradas, como los controladores difusos PI+D (FPI+D) y PD+I (FPD+I), el ajuste de los factores de escala está directamente relacionado con el ajuste de las ganancias de un controlador PID, utilizando alguno de los métodos tradicionales de ajuste. En sistemas que presentan saturación en la señal de control, los controladores difusos PID requieren un sistema de anti-windup (AW) que limite la acción integral del controlador. En estos casos, el ajuste de los factores de escala no está relacionado directamente al ajuste de las ganancias de un controlador PID. Utilizar este ajuste de ganancias, incrementa la ganancia general del sistema, creando un controlador sin acotar, el cual presenta una rápida respuesta en el estado transitorio, pero un comportamiento oscilatorio, e incluso críticamente inestable en la respuesta en estado estable. Una solución a este problema es reducir el factor de escala de salida, creando u...

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“…To avoid this problem, different variants of FPID controllers have been proposed, such as those shown in [8,33], which present schemes with two-and one-dimension rule bases working in parallel, or the controllers proposed in [10,35,36], wherein adjustment of the PID controller gains is performed dynamically through a fuzzy system. Nonetheless, two-input FPID controllers (FPD+I and FPI+D) have a proper structure and the most practical use, as they only require a set of two-dimensions fuzzy rules and can use the well-known tuning process of the conventional PID controllers.…”

Section: Introductionmentioning

confidence: 99%

A new approach for adjusting scale factor in fuzzy PD+I controllers with anti-windup

Sartorius

Moreno

Piòón

et al. 2014

Journal of Intelligent &Amp; Fuzzy Systems

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In fuzzy controllers, the adjusting of scale factors, both input and output, is critical to the performance of the plant being controlled. The adjustment of scale factors in Fuzzy PD+I controllers (FPD+I) is well documented; however, in systems that have control signal saturation, FPD+I requires anti-windup systems (AW) that limit the controller's integral action. The adjustment procedure for FPD+I controllers cannot be used in Fuzzy PD+I controllers with anti-windup system (FPD+I AW), as it increases the overall gain system, which causes oscillatory behaviour and even critical stability in the controlled variable. The main motivation of this research was to have an approach for adjusting Fuzzy PD+I controllers with anti-windup system (FPD+I AW) without having oscillatory behaviour. In order to verify the proposed approach, both the input and output scale factors of a FPD+I AW controller were adjusted and used to control speed in a direct current motor with control signal saturation and were compared with the responses of conventional PID, Adaptive Neuro Fuzzy Inference System (ANFIS) and Fuzzy sliding controllers, all with AWs based on tracking back calculation, thereby demonstrating the effectiveness of the proposed approach.

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A self-tuning fuzzy PID controller with real-time implementation on a position control system

Cited by 15 publications

References 6 publications

Dynamic Set-Point Weighted Fuzzy PID Controller

Dynamic Set-Point Weighted Fuzzy PID Controller

A novel method for fuzzy scale factors scheduling in fuzzy PD+I with anti-windup system controllers

A new approach for adjusting scale factor in fuzzy PD+I controllers with anti-windup

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