Fractional-Order Proportional Derivative Controller Synthesis and Implementation for Hard-Disk-Drive Servo System

Luo, Ying; Zhang, Tao; Lee, BongJin; Kang, Cheol In; Chen, YangQuan

doi:10.1109/tcst.2013.2239111

Cited by 53 publications

(27 citation statements)

References 22 publications

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“…Fractional order calculus is the generalized form of integer order differential and integral calculus [26][27][28][29]. Fractional calculus has many definitions.…”

Section: Fractional Calculus Theorymentioning

confidence: 99%

Design of Nonlinear Robust Damping Controller for Power Oscillations Suppressing Based on Backstepping-Fractional Order Sliding Mode

et al. 2017

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In this paper, a novel nonlinear robust damping controller is proposed to suppress power oscillation in interconnected power systems. The proposed power oscillation damping controller exhibits good nonlinearity and robustness. It can consider the strong nonlinearity of power oscillation and uncertainty of its model. First, through differential homeomorphic mapping, a mathematical model of the system can be transformed into the Brunovsky standard. Next, an extended state observer (ESO) estimated and compensated for model errors and external disturbances as well as uncertain factors to achieve dynamic linearization of the nonlinear model. A power oscillation damping controller for interconnected power systems was designed on a backstepping-fractional order sliding mode variable structure control theory (BFSMC). Compared with traditional methods, the controller exhibits good dynamic performance and strong robustness. Simulations involving a four-generator two-area and partial test system of Northeast China were conducted under various disturbances to prove the effectiveness and robustness of the proposed damping control method.Energies 2017, 10, 676 2 of 23 which exhibits parametric uncertainties and is strongly nonlinear. The operating conditions of such systems change constantly, and thus a conventional PSS controller cannot satisfy system requirements.The linear system control method is based on an accurate model and does not exhibit robustness with the parameters. To compensate for its shortcomings, nonlinear theory is applied to develop a POD controller. The backstepping approach is designed on the Lyapunov nonlinear method; its control function and Lyapunov function can be flexible in selection. This ensures the gradual stability of the disturbance nonlinear system; therefore, this method has been widely used in nonlinear system control [12,13]. However, this method has poor effects on the discontinuous disturbance of the system and nonlinear parameter perturbation.In recent years, fractional order control has been applied in power systems [14][15][16]. Its main characteristics are high control precision and ease of application. Fractional order sliding mode variable structure control theory (FSMC) has nothing to do with parameter and disturbance. This method has the advantages of fast response speed, robustness, simple structure [17][18][19]. Compared to the integer order, fractional order control has higher control precision, and the system can be more accurately modeled, but this method requires pseudo-linear processing of the original system model. In this paper, the controller was designed based on combining the advantages of the backstepping method and FSMC theory.The sliding mode control method is more effective for linear parts of systems, but it has difficulty in dealing with nonlinear parts. Multi-generator power systems are complex and stochastic multi-variable nonlinear systems. As stated earlier, designing a controller by traditional methods is difficult, as such controllers are greatly affected b...

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“…Fractional order calculus is the generalized form of integer order differential and integral calculus [26][27][28][29]. Fractional calculus has many definitions.…”

Section: Fractional Calculus Theorymentioning

confidence: 99%

Design of Nonlinear Robust Damping Controller for Power Oscillations Suppressing Based on Backstepping-Fractional Order Sliding Mode

et al. 2017

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“…If initial conditions is assumed, the dynamic behavior of system can be described with differential equations and fractional differentiation, then transfer function of the system will be fractional order s [24][25].…”

Section: Definition Of Fractional Integralmentioning

confidence: 99%

Robust Wide Area Controller Design with DFIG-Fractional Order PID for Inter-Area Oscillations Damping

Liu¹,

Cai²,

Zhang³

2017

IJCA

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“…To the best of the authors' knowledge, this is the first work on the design and implementation of an FO-PID controller for induction motors. FO-PID has been limited to DC [16,17] and servo [18] motors. Other published works are simulation-based.…”

Section: Introductionmentioning

confidence: 99%

Design of a fractional order PID controller with application to an induction motor drive

Saleem¹,

Soliman²,

Al-Ratrout³

et al. 2018

Turk J Elec Eng & Comp Sci

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In this paper, a new method for designing a fractional-order proportional-integral-derivative (FO-PID) controller with an application to an induction motor drive is proposed. In the proposed method, the motor drive is modeled using an autoregressive with exogenous input (ARX) model whose parameters are experimentally identified using real I/O data. A genetic algorithm is then used to find the FO-PID parameters. To guarantee the robustness of the controller against load variations, minimax optimization is adopted. To validate the results, the proposed controller is applied to a real-life motor drive using a hardware-in-the-loop (HIL) simulator. The experimental results show that the proposed controller significantly improves the time response of the induction motor compared to a conventional PID controller. It also shows it is robust against motor load variations.

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Fractional-Order Proportional Derivative Controller Synthesis and Implementation for Hard-Disk-Drive Servo System

Cited by 53 publications

References 22 publications

Design of Nonlinear Robust Damping Controller for Power Oscillations Suppressing Based on Backstepping-Fractional Order Sliding Mode

Design of Nonlinear Robust Damping Controller for Power Oscillations Suppressing Based on Backstepping-Fractional Order Sliding Mode

Robust Wide Area Controller Design with DFIG-Fractional Order PID for Inter-Area Oscillations Damping

Design of a fractional order PID controller with application to an induction motor drive

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