Review of Fractional Order Control

Leng, Bo; Qi, Zhi; Liang, Shan; Bian, Hui Juan

doi:10.4028/www.scientific.net/amr.1049-1050.983

Cited by 7 publications

(4 citation statements)

References 7 publications

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“…Control of nonlinear systems, especially chaotic systems, has been studied with growing interest in recent years (Singh and Roy, 2017, 2018; Singh et al, 2018). As stated in Leng et al (2014), various publications have appeared over the recent years. By using fractional calculus (FC), many complex dynamics can be qualified as the simple system comprising fractional-order (FO) derivatives (Bagley and Torvik, 1983; Haghighi and Roohi, 2012; Petras, 2011; Sun et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

A switching sliding mode control technique for chaos suppression of fractional-order complex systems

Roohi

Khooban

Esfahani³

et al. 2019

Transactions of the Institute of Measurement and Control

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Switching sliding mode control (SSMC) can be utilized as a robust control technique, which is appropriate for the control of highly non-linear power systems like chaotic systems. The present study proposes a switching sliding mode control technique for control and chaos suppression of non-autonomous fractional-order (FO) nonlinear power systems with uncertainties and external disturbances. In the first step, a novel fractional switching sliding surface is introduced as well as its stability analysis to the origin is demonstrated. In the second step, based on the fractional version of the Lyapunov stability theory, a robust non-singular control law is designed to ensure the convergence of the system trajectories to the proposed sliding surface. Next, the proposed SSMC approach is utilized for designing a single input switching control technique for the stabilization of a class of 3D FO chaotic power systems. In order to evaluate the effectiveness and robustness of the suggested approach in practice, two examples including control and the stabilization of FO chaotic electric motors are illustrated.

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Section: Introductionmentioning

confidence: 99%

A switching sliding mode control technique for chaos suppression of fractional-order complex systems

Roohi

Khooban

Esfahani³

et al. 2019

Transactions of the Institute of Measurement and Control

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“…The most prevalent advantages of applied fractional-order differintegrals are widely proven in process control as shown by multiple comprehensive review papers on the fractional-order PID controller [ 6 , 42 , 43 ] and complex system modeling in biomedical processes [ 2 ] through complex anomalous diffusion [ 9 ]. However, during recent years different fields such as fractional-order circuits had undergone the possible integration of fractional operators.…”

Section: Fractional-order Sensingmentioning

confidence: 99%

A Review of Recent Advances in Fractional-Order Sensing and Filtering Techniques

Muresan

Birs

Dulf

et al. 2021

Sensors

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The present manuscript aims at raising awareness of the endless possibilities of fractional calculus applied not only to system identification and control engineering, but also into sensing and filtering domains. The creation of the fractance device has enabled the physical realization of a new array of sensors capable of gathering more information. The same fractional-order electronic component has led to the possibility of exploring analog filtering techniques from a practical perspective, enlarging the horizon to a wider frequency range, with increased robustness to component variation, stability and noise reduction. Furthermore, fractional-order digital filters have developed to provide an alternative solution to higher-order integer-order filters, with increased design flexibility and better performance. The present study is a comprehensive review of the latest advances in fractional-order sensors and filters, with a focus on design methodologies and their real-life applicability reported in the last decade. The potential enhancements brought by the use of fractional calculus have been exploited as well in sensing and filtering techniques. Several extensions of the classical sensing and filtering methods have been proposed to date. The basics of fractional-order filters are reviewed, with a focus on the popular fractional-order Kalman filter, as well as those related to sensing. A detailed presentation of fractional-order filters is included in applications such as data transmission and networking, electrical and chemical engineering, biomedicine and various industrial fields.

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“…Autotuning methods for fractional order PID controllers were also proposed [21][22][23]. Some rather recent review papers on fractional order controllers can be found in [24][25][26] and provide an insight into fractional order control of different types. An excellent review paper on fractional order controllers, including their most widely used continuous and discrete approximation methods, as well as their digital and analogue implementation methods.…”

Section: Introductionmentioning

confidence: 99%

Event-Based Implementation of Fractional Order IMC Controllers for Simple FOPDT Processes

2020

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Fractional order calculus has been used to generalize various types of controllers, including internal model controllers (IMC). The focus of this manuscript is towards fractional order IMCs for first order plus dead-time (FOPDT) processes, including delay and lag dominant ones. The design is novel at it is based on a new approximation approach, the non-rational transfer function method. This allows for a more accurate approximation of the process dead-time and ensures an improved closed loop response. The main problem with fractional order controllers is concerned with their implementation as higher order transfer functions. In cases where central processing unit CPU, bandwidth allocation, and energy usage are limited, resources need to be efficiently managed. This can be achieved using an event-based implementation. The novelty of this paper resides in such an event-based algorithm for fractional order IMC (FO-IMC) controllers. Numerical results are provided for lag and delay dominant FOPDT processes. For comparison purposes, an integer order PI controller, tuned according to the same performance specifications as the FO-IMC, is also implemented as an event-based control strategy. The numerical results show that the proposed event-based implementation for the FO-IMC controller is suitable and provides for a smaller computational effort, thus being more suitable in various industrial applications.

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Review of Fractional Order Control

Cited by 7 publications

References 7 publications

A switching sliding mode control technique for chaos suppression of fractional-order complex systems

A switching sliding mode control technique for chaos suppression of fractional-order complex systems

A Review of Recent Advances in Fractional-Order Sensing and Filtering Techniques

Event-Based Implementation of Fractional Order IMC Controllers for Simple FOPDT Processes

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