Fractional-Order PID Controller Design for Time-Delay Systems Based on Modified Bode’s Ideal Transfer Function

Nie, Zhuo‐Yun; Zheng, Yu; Wang, Qing‐Guo; Liu, Ruijuan; Xiang, Lin

doi:10.1109/access.2020.2996265

Cited by 38 publications

(19 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Let the observer error be e = x − z. From ( 8) and (10), the equation of the extended state observer error can be written as…”

Section: B Stablilty Analysis Of Ifo-adrcmentioning

confidence: 99%

“…An advantage of the BITF is that when the open-loop gain varies, the gain crossover frequency will change while the phase margin remains the same. Due to this characteristic, BITF has been used as the reference model to design the fractionalorder controller [9], [10], [11]. Using the BITF method, the closed-loop system achieve the iso-damping property (the phase derivative with respect to the frequency is zero) and the overshoots of the step responses will remain almost constant even when the open-loop gain varies.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An Improved Active Disturbance Rejection Control for Bode's Ideal Transfer Function

Zhu¹

2022

Preprint

View full text Add to dashboard Cite

This paper presents an active disturbance rejection control (ADRC) scheme with an improved fractional-order extended state observer (IFO-ESO). Based on the new ADRC scheme, the open-loop transfer function of a high-order system can be approximately rendered to a so-called Weighed Bode's ideal transfer function, whose closed-loop performance is less prone to the controller parameter variations. The design of the IFO-ESO helps reduce the number of system states to be estimated and improves the performance of closed-loop system over the fractional-order active disturbance rejection control (FO-ADRC) in the literature. Compared with the integer-order active disturbance rejection controller (IO-ADRC) and FO-ADRC, the auxiliary tracking controller of IFO-ADRC has a simpler form. Frequency-domain analysis shows that IFO-ESO has better estimation performance than typical fractional-order ESO (FO-ESO), and time-domain simulation demonstrates that the proposed ADRC has better transient performance and is more robust against the parameter variations than FO-ADRC and IO-ADRC. The proposed ADRC is applied to permanent magnet synchronous motor (PMSM) servo control system and demonstrates its capability in a real-world application.

show abstract

“…Let the observer error be e = x − z. From ( 8) and (10), the equation of the extended state observer error can be written as…”

Section: B Stablilty Analysis Of Ifo-adrcmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Improved Active Disturbance Rejection Control for Bode's Ideal Transfer Function

Zhu¹

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In case of the variation of process gain, the crossover frequency of v c changes; however, the phase margin (PM) constant is always maintained at p 1 À a=2 ð Þrad. Due to this characteristic, the closed-loop system shown in Figure 8 has been utilized as a reference model other available works in the literature (Li et al, 2017;Pradhan et al, 2018;Yumuk et al, 2021;Zhang et al, 2020;Zhuo-Yun et al, 2020).…”

Section: Bode's Ideal Reference Modelmentioning

confidence: 99%

A novel modified Lévy flight distribution algorithm to tune proportional, integral, derivative and acceleration controller on buck converter system

İzci

Ekinci

Hekimoğlu

2021

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

In this paper, an optimal proportional, integral, derivative and acceleration (PIDA) controller design based on Bode’s ideal reference model and a novel modified Lévy flight distribution (mLFD) algorithm is proposed for buck converter system. The modification of the original Lévy flight distribution (LFD) algorithm was achieved by improving exploration and exploitation capabilities of the algorithm through incorporation of opposition-based learning mechanism and hybridizing with simulated annealing algorithm, respectively. The modified algorithm was used to tune the gains of the PIDA controller in order to operate a buck converter system that is mimicking the response of the Bode’s ideal reference model. Both the proposed novel algorithm and its PIDA controller design implementation for buck converter were confirmed through various tests and extensive analyses of statistical and non-parametric tests, convergence profile, transient and frequency responses, disturbance rejection, robustness, and time delay response. The comparative results with the state-of-the-art algorithms of manta ray foraging optimization, arithmetic optimization algorithm and the original LFD algorithm have shown that the proposed mLFD algorithm performs better than the compared ones in all assessments even when different well-known performance indices are used. The proposed Bode’s ideal reference model-based optimal PIDA control design with novel mLFD algorithm was also compared with other design approaches using the same buck converter system available in the literature. The proposed mLFD algorithm-based design approach has also shown greater effectiveness compared to other available methods, as well.

show abstract

“…El controlador clásico que se agregará al motor tiene la tarea de controlar la velocidad del motor satisfaciendo las especicaciones de diseño siguientes; ancho de banda de 8 rad/s, margen de ganancia innito y margen de fase≥60°. El controlador propuesto se diseñó mediante la técnica de Bode shaping [34] y [35], de esta forma es posible ajustar poco a poco tanto el margen de ganancia como el margen de fase agregando polos o ceros y variando su ganancia y frecuencia de ubicación, hasta obtener un diagrama de Bode que reeje los márgenes deseados.…”

Section: Simulación En Los Modos De Troceado De Corriente Y Desmagnetizaciónunclassified

“…Regarding the speed equation, only the positive part is considered, that is, when  0, because the operating point is at 2000rpm. The result of the previous considerations is the set of equations to linearize are those shown in (35).…”

Section: Model Linearizationmentioning

confidence: 99%

Control de velocidad de un motor de reluctancia variable de 4 fases y 6 polos, utilizando técnicas de control clásico

Román¹,

Jesús²

View full text Add to dashboard Cite

In this work, the analysis and design of a speed control system of a variable reluctance motor with six poles and four phases is presented. The nonlinear motor model includes the nonlinearity of the Coulomb friction plus the viscous friction. The structural analysis of the non-linear model is carried out, which is linearized at the operating point established at 2000rpm. Both the non-linear and linear models are compared both in their structure and in their responses through digital simulations, finding that under certain conditions both have similar behaviors. Subsequently, based on the linear model, a classic PI controller is designed and subjected to regulation, tracking and load torque variation tests. The controller design is carried out using the Bode shaping technique, guaranteeing adequate gain and phase margins with a higher bandwidth than the mechanical subsystem mode. The robustness is verified by means of the digital simulation of the control system using the non-linear model, which is also subjected to load variations, finding that the PI controller has excellent performance in both regulation and tracking. Finally, two additional controllers are proposed: the first is a PII controller, the objective of which is to reduce the effect of the non-linearity called dead zone present in the motor at start-up or at low speeds. The second is a PI controller that adds a new technique for reducing the ripple present in the speed and torque responses, characteristics of this type of motor.

show abstract

Fractional-Order PID Controller Design for Time-Delay Systems Based on Modified Bode’s Ideal Transfer Function

Cited by 38 publications

References 47 publications

An Improved Active Disturbance Rejection Control for Bode's Ideal Transfer Function

An Improved Active Disturbance Rejection Control for Bode's Ideal Transfer Function

A novel modified Lévy flight distribution algorithm to tune proportional, integral, derivative and acceleration controller on buck converter system

Control de velocidad de un motor de reluctancia variable de 4 fases y 6 polos, utilizando técnicas de control clásico

Contact Info

Product

Resources

About