Cascade Control System‐Based Cost Effective Combination of Tensor Product Model Transformation and Fuzzy Control

Precup, Radu‐Emil; Petriu, Emil M.; Rădac, Mircea-Bogdan; Preitl, Ștefan; Fedorovici, Lucian-Ovidiu; Dragoş, Claudia-Adina

doi:10.1002/asjc.855

Cited by 39 publications

(23 citation statements)

References 53 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Accordingly, several methods have been developed to simulate the systems, to analyze their behaviours and to carry out the controller design in order to exhibit desired and/or imposed behaviours. In addition, as shown in [8] for optimal control, [24] for cascade control, [31] for robust control and [33] for minimum variance control, modelling the dynamics of complex systems by state-space models can guarantee high control system performance.…”

Section: Introductionmentioning

confidence: 99%

An Approach to the Design of Nonlinear State-Space Control Systems

Pozna¹,

Precup²

2018

STUD INFORM CONTROL

Self Cite

View full text Add to dashboard Cite

This paper proposes a cost-effective approach to the design of nonlinear state-space control systems. The approach is supported by a geometrical illustration of systems evolution in the state space, by the Lyapunov's direct method, the native behaviour of the controlled process, and the desired system matrix. The method is exemplified through the medium of a realworld process represented by the pendulum-cart system laboratory equipment.

show abstract

Section: Introductionmentioning

confidence: 99%

An Approach to the Design of Nonlinear State-Space Control Systems

Pozna¹,

Precup²

2018

STUD INFORM CONTROL

Self Cite

View full text Add to dashboard Cite

show abstract

“…Fuzzy controllers described in this way present generalization of existing traditional fuzzy controllers. In this paper generalization of Takagi-Sugeno fuzzy controllers [5][6][7][8] will be performed. Namely, existing generalized quasi-orthogonal functions will be used in consequential part of fuzzy controller rules.…”

Section: Introductionmentioning

confidence: 99%

Orthogonal Hybrid-Fuzzy Controllers

et al. 2017

View full text Add to dashboard Cite

Abstract. The main idea of this paper is to present a possibility of application of hybrid-fuzzy controllers in control systems theory. In this paper, we have described a new method оf using orthogonal functions in control of dynamical systems. These functions generate genarilzed quasi-orthogonal filter, which are used in the concluding phase of the fuzzy controllers. Proposed hybrid-fuzzy controllers of Takagi-Sugeno type has been applied to a DC servo drive system and performed experiments have verified efficiency and improvements of a new control method.

show abstract

“…Consequently, diverse fuzzy controllers have been developed, such as fuzzy sliding mode controllers [4], T-S fuzzy controllers [5], state feedback fuzzy controllers [6,7], output feedback fuzzy controllers [8,9], fuzzy PI controllers [10], and fuzzy PD controllers [11,12].…”

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

View full text Add to dashboard Cite

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...

show abstract

Cascade Control System‐Based Cost Effective Combination of Tensor Product Model Transformation and Fuzzy Control

Cited by 39 publications

References 53 publications

An Approach to the Design of Nonlinear State-Space Control Systems

An Approach to the Design of Nonlinear State-Space Control Systems

Orthogonal Hybrid-Fuzzy Controllers

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

Contact Info

Product

Resources

About