An expert 2DOF fractional order fuzzy PID controller for nonlinear systems

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

doi:10.1007/s00521-017-3330-z

Cited by 49 publications

(14 citation statements)

References 45 publications

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“…It not only reduces the rise time and overshoot of the output response, but also reduces the sensitivity of the system to interference and increases the stability of the system [34]. Fuzzy-PID can adjust the size of the parameters for P, I, and D online, and it can adapt well to dynamic systems [35,36]. In this paper, the Fuzzy-PID controller is used to regulate the grid frequency.…”

Section: Fuzzy-pid Control Methods Of Supporting Grid Frequency Regulamentioning

confidence: 99%

Active Power Dispatch for Supporting Grid Frequency Regulation in Wind Farms Considering Fatigue Load

Liu

Wang

et al. 2019

Energies

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This paper proposes an active power control method for supporting grid frequency regulation in wind farms (WF) considering improved fatigue load sensitivity of wind turbines (WT). The control method is concluded into two parts: frequency adjustment control (FAC) and power reference dispatch (PRD). On one hand, the proposed Fuzzy-PID control method can actively maintain the balance between power generation and grid load, by which the grid frequency is regulated when plenty of winds are available. The fast power response can be provided and frequency error can be reduced by the proposed method. On the other hand, the sensitivity of the WT fatigue loads to the power references is improved. The explicit analytical equations of the fatigue load sensitivity are re-derived to improve calculation accuracy. In the process of the optimization dispatch, the re-defined fatigue load sensitivity will be used to minimize fatigue load. Case studies were conducted with a WF under different grid loads and turbulent wind with different intensities. By comparing the frequency response of the WF, rainflow cycle, and Damage Equivalent Load (DEL) of the WT, the efficacy of the proposed method is verified.

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Section: Fuzzy-pid Control Methods Of Supporting Grid Frequency Regulamentioning

confidence: 99%

Active Power Dispatch for Supporting Grid Frequency Regulation in Wind Farms Considering Fatigue Load

Liu

Wang

et al. 2019

Energies

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“…When the structure and parameters of the controlled object cannot be fully grasped, or the precise mathematical model is not obtained, and when other techniques of control theory are difficult to adopt, the structure and parameters of the system controller must be determined by experience and on-site debugging, and PID control technology is the most convenient. 27,28 That is to say, when a system and the controlled objects are not fully understandable, or cannot obtain system parameters through effective measurement methods, it is most suitable to use PID control technology. [29][30][31][32] The PID control method is to perform proportional calculus operation on the deviation amount (output value minus input set value), and the obtained results are added to obtain the system output.…”

Section: Theoretical Modelmentioning

confidence: 99%

Analysis of stick-slip reduction for a new torsional vibration tool based on PID control

Tian

Zhou

Yang

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part K:

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The phenomenon of stick-slip vibration is widespread in the exploration of deep and ultra-deep wells. It causes the reduction of the mechanical drilling rate and wastes the driving energy. Besides, it also accelerates the aging and failure of the drill strings and threatens the safety of drilling seriously. In order to effectively control the stick-slip vibration of the drill string, a new type of torsional vibration tool is proposed in this paper firstly. Then, the theoretical model of the drill string system based on the tool is established. And then, the viscosity reduction characteristics of the new torsional vibration tool are studied by the PID control method. Finally, field tests were carried out in comparison with simulation. The results show that the new torsional vibration tool can reduce the stick-slip vibration. And the two PID control equations can both control the drill bit speed in real time through changing the turntable speed. The results also have important reference significance for reducing and controlling the stick-slip vibration of the drill string and improving the rock-breaking efficiency.

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“…However, they have been commonly applied in the field of advanced control (Chen et al, 1999;Li and Jin, 2010;Liu and Tong, 2015;Sharkawy et al, 2003;Tong, 2019;Wu et al, 2013), especially in complex, badly defined, non-linear and time-variant systems, because it does not require a precise mathematical model of the system. Accordingly, combination of fuzzy rules and different controllers has drawn the attention of many researchers (Delavari et al, 2010;El-Bardini, El-Nagar, 2014;Huang et al, 2009;Mahmoodabadi et al, 2017;Moezi et al, 2019;Mohan et al, 2019;Solgi and Ganjefar, 2018;Wang et al, 2016). A ball and wheel system is an electromechanical system consisting of a ball, a wheel, and a DC motor.…”

Section: Introductionmentioning

confidence: 99%

A novel multi-objective optimization algorithm for Pareto design of a fuzzy full state feedback linearization controller applied on a ball and wheel system

Maafi

Haghighi

Mahmoodabadi

2021

Transactions of the Institute of Measurement and Control

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The control and stabilization of a ball and wheel system around the equilibrium point are challenging tasks because it is an underactuated, nonlinear, and open-loop unstable plant. In this paper, Pareto design of a Fuzzy Full State Feedback Linearization Controller (FFSFLC) for the ball and wheel system based upon a novel multi-objective optimization algorithm is introduced. To this end, at first, a full state feedback linearization approach is employed to stabilize the dynamics of the system. Next, appropriate fuzzy systems are determined to tune the control gains. Then, a new multi-objective optimization algorithm is utilized to promote the proposed control scheme. This optimization algorithm is a combination of Simulated Annealing (SA) and Artificial Bee Colony (ABC) approaches benefiting advantages of the non-dominated Pareto solutions. To evaluate the capabilities of the suggested algorithm, its optimal solutions of several standard test functions are compared with those of five renowned multi-objective optimization algorithms. The results confirm that the proposed hybrid algorithm yields closer non-dominated Pareto solutions to the true optimal Pareto front with shorter runtimes than other algorithms. After selecting proper objective functions, multi-objective optimization of FFSFLC for the ball and wheel system is performed, and the results are compared with previous works. Simulations illustrate that the proposed strategies can accurately converge the system states to the desired conditions and yield superior robustness against disturbance signals in comparison with former studies.

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An expert 2DOF fractional order fuzzy PID controller for nonlinear systems

Cited by 49 publications

References 45 publications

Active Power Dispatch for Supporting Grid Frequency Regulation in Wind Farms Considering Fatigue Load

Active Power Dispatch for Supporting Grid Frequency Regulation in Wind Farms Considering Fatigue Load

Analysis of stick-slip reduction for a new torsional vibration tool based on PID control

A novel multi-objective optimization algorithm for Pareto design of a fuzzy full state feedback linearization controller applied on a ball and wheel system

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