Robust self-tuning fractional order PID controller dedicated to non-linear dynamic system

Mohan, V.; Chhabra, Himanshu; Rani, Asha; Singh, Vijander

doi:10.3233/jifs-169442

Cited by 32 publications

(10 citation statements)

References 28 publications

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“…The control of coupled and non-linear 2-link rigid robot is tackled in [71] using a novel non-linear FO-PID that includes a non-linear hyperbolic function cascaded with a FO-PID. The fractional orders allow for greater flexibility in the controller design, while the adaptive feature is incorporated in the non-linear function.…”

Section: Applications and Self-tuned Fo-pidsmentioning

confidence: 99%

A Review of Recent Developments in Autotuning Methods for Fractional-Order Controllers

et al. 2022

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The scientific community has recently seen a fast-growing number of publications tackling the topic of fractional-order controllers in general, with a focus on the fractional order PID. Several versions of this controller have been proposed, including different tuning methods and implementation possibilities. Quite a few recent papers discuss the practical use of such controllers. However, the industrial acceptance of these controllers is still far from being reached. Autotuning methods for such fractional order PIDs could possibly make them more appealing to industrial applications, as well. In this paper, the current autotuning methods for fractional order PIDs are reviewed. The focus is on the most recent findings. A comparison between several autotuning approaches is considered for various types of processes. Numerical examples are given to highlight the practicality of the methods that could be extended to simple industrial processes.

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Section: Applications and Self-tuned Fo-pidsmentioning

confidence: 99%

A Review of Recent Developments in Autotuning Methods for Fractional-Order Controllers

et al. 2022

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“…Including fractional order (FO) operators in design adds an extra degree of freedom, providing flexibility and superior performance. Therefore, the application of fractional differ-integral operators in controllers has gained recent research thrust in the field of control of motor [1], renewable energy [2,3], process control [4,5], power system [6,7], robotics [8][9][10][11], tumour growth control [12,13], and automatic voltage regulation [14]. Moreover, it is widely utilised with advanced intelligent techniques for the design and control of real-world systems.…”

Section: Introductionmentioning

confidence: 99%

Self-regulatory Fractional Fuzzy Control for Dynamic Systems: An Analytical Approach

Mohan

Panjwani

Chhabra

et al. 2022

Int. J. Fuzzy Syst.

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This paper presents an analytical design of a fractional order fuzzy proportional integral plus derivative (FOFPI + D) controller. Artificial intelligence is incorporated into the controller with the help of a formula-based fuzzy logic system. The designed scheme combines fractional order fuzzy PI (FOFPI) and fractional order fuzzy D (FOFD) controller, derived from fundamental FOPID control law. The proposed scheme enjoys the linear structure of the FOPID controllers with non-linear gains that provide self-tuning control capability. The sufficient condition for stability of the closed-loop system is also established using the graphical approach. Performance of the proposed FOFPI + D, its integer order variant (FPI + D), and conventional controllers is examined for control of a highly non-linear and uncertain two-link robotic manipulator system. The optimum parameters of controllers are found by minimising aggregated control variation and error objective through non-dominated sorting genetic algorithm-II (NSGA-II). The comparison for trajectory tracking shows that FOFPI + D has the minimum integral absolute error (IAE) compared to other controllers. Further, rigorous performance investigations are performed to verify the robustness of designed controllers against parametric uncertainties, the varying boundary conditions of reference trajectory and disturbance rejection. It is concluded from the results that the proposed FOFPI + D controller exhibits superior performance.

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“…The fractional-order controller is a common application of fractional-order calculus [7]. Due to the simple structure of fractional-order PID controller, the fractional-order PID controller is used in most industrial control systems [8], [9]. With the introduction of fractional-order operators, other types of fractional-order controllers appear, such as the fractional-order sliding mode controller [10], the fractional-order back-stepping controller [11], the fractional-order model predictive controller [12] and the fractional-order extremum seeking controller [13].…”

Section: Introductionmentioning

confidence: 99%

Study on initial value problem for fractional-order cubature Kalman filters of nonlinear continuous-time fractional-order systems

et al. 2021

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To realize the state estimation of a nonlinear continuous-time fractionalorder system, two types of fractional-order cubature Kalman filters (FOCKFs) designed to solve problem on the initial value influence. For the first type of cubature Kalman filter (CKF), the initial value of the estimated system are also regarded as the augmented state, the augmented state equation is constructed to obtain the CKF based on Grünwald-Letnikov difference. For the second type of CKF, the fractional-order hybrid extended-cubature Kalman filter (HECKF) is proposed to weaken the influence of initial value by the first-order Taylor expansion and the third-order spherical-radial rule. These two methods can effectively reduce the influence of initial value on the state estimation. Finally, the effectiveness of the proposed CKFs is verified by two simulation examples.

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Robust self-tuning fractional order PID controller dedicated to non-linear dynamic system

Cited by 32 publications

References 28 publications

A Review of Recent Developments in Autotuning Methods for Fractional-Order Controllers

A Review of Recent Developments in Autotuning Methods for Fractional-Order Controllers

Self-regulatory Fractional Fuzzy Control for Dynamic Systems: An Analytical Approach

Study on initial value problem for fractional-order cubature Kalman filters of nonlinear continuous-time fractional-order systems

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