Article
Automation & Control Systems
Xu Li, Lifu Gao
Summary: This paper presents a simple and efficient design method of FOPID controllers for fractional-order controlled plants with time delays. The method is based on four frequency-domain specifications and allows for graphical adjustment of controller parameters. Simulation results show that the design requirements are successfully met and superior control performance is obtained via the proposed tuning method.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2022)
Article
Physics, Multidisciplinary
Pengchong Chen, Ying Luo, Yibing Peng, Yangquan Chen
Summary: In this paper, a fractional-order active disturbance rejection controller (FOADRC) is proposed for a permanent magnet synchronous motor (PMSM) speed servo system, achieving better speed tracking and robustness to external disturbance. The proposed optimal ADRC tuning strategy applies to both FOADRC and integer-order active disturbance rejection controller (IOADRC). Simulation and experimental results demonstrate the superior performance of FOADRC compared to traditional IOADRC and PID controller in speed tracking and anti-load disturbance.
Article
Mathematics, Applied
Min Zheng, Guangfeng Zhang, Tao Huang
Summary: The fractional complex-order controller (FCOC) proposed in this paper exhibits strong robustness when the phase angle and gain change simultaneously. By integrating the gain crossover frequency, cutoff frequency, phase margin, and amplitude margin for parameter tuning, the FCOC shows better dynamic performance and robustness compared to other controllers.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Engineering, Electrical & Electronic
Rishika Trivedi, Prabin Kumar Padhy
Summary: The indirect fractional order approach adjusts the maximum sensitivity to parametric variations, eliminates the need for external IMC filters, and helps achieve better transient response by using binomial expansion.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2021)
Article
Automation & Control Systems
Reetam Mondal, Jayati Dey
Summary: The tune-up of fractional order controllers is commonly discussed in the literature, but often requires complex optimization techniques or solution of non-linear equations, leading to a lack of practical solutions for parameter selection. This study proposes a novel and simple method for designing cascaded structures of FO controllers based on specifications. The method provides exact and unique solutions for designing FO controllers in the frequency domain with satisfactory performance in the time domain, avoiding complex and implicit design strategies.
Article
Automation & Control Systems
Anand Kumar, Somnath Pan
Summary: This work presents a frequency-domain approach for designing a fractional order proportional-integral-derivative (FO-PID) controller with a first-order filter for load frequency control (LFC) systems with communication delay. The proposed method utilizes a reference model developed through direct synthesis and frequency response matching technique. The controllers are compared with existing controllers in terms of dynamics and non-linearity, and have been shown to work effectively in a decentralized multi-area system with variable communication delay.
Article
Automation & Control Systems
Pengchong Chen, Ying Luo
Summary: This paper proposes a comprehensive synthesis of the fractional order PI lambda D mu (FOPI lambda D mu) controller and demonstrates it using the FOPNTD system. The method fulfills five frequency-domain requirements simultaneously and allows for flexible adjustment of the control loop shape. Simulation results show that the proposed controller outperforms other controllers in terms of performance.
Article
Energy & Fuels
Shitao Ruan
Summary: In this paper, a novel approach is proposed for controller tuning in the load frequency control (LFC) of microgrid systems with communication delay. The approach converts the tuning task into an algorithm that solves two parametric equations subject to robustness constraints, resulting in high accuracy and computational efficiency.
Article
Automation & Control Systems
Ertugrul Kececi, Erhan Yumuk, Mujde Guzelkaya, Ibrahim Eksin
Summary: It is challenging to manipulate the time-domain representation of fractional order transfer function. In this study, a control design methodology based on direct synthesis design method using bi-fractional order transfer function as a reference model is proposed. The effects of bi-fractional order transfer function parameters on the system time-domain criteria are analyzed and a relation between damping ratio and commensurate fractional order is established. A control algorithm utilizing the newly derived bi-fractional order reference model is developed and compared with globally optimized fractional order PID controllers.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING
(2023)
Article
Physics, Multidisciplinary
Weijia Zheng, Ying Luo, YangQuan Chen, Xiaohong Wang
Summary: The study introduces a simplified FOPID controller by defining the parameter relation and optimizing the changeable coefficient. An estimation model of the optimal relation coefficient is established, allowing for analytical calculation of the FOPID controller parameters. The practical application of the simplified FOPID controller is demonstrated through a case study on a permanent magnet synchronous motor speed servo, showing optimal dynamic performance in simulation and experiments.
Article
Chemistry, Multidisciplinary
Yongbin Zhong, Jian Gao, Lanyu Zhang
Summary: This paper proposes an adaptive fractional-order anti-saturation synchronous control method based on fractional-order frequency-domain control theory to solve the synchronization error problem of a dual-motor system. The method compensates the closed-loop feedback control loop to unify the frequency-domain characteristics of the dual-motor system and includes an adaptive fractional-order anti-saturation module to prevent voltage saturation and eliminate nonlinear effects. Experimental results demonstrate that the proposed method can accurately avoid saturation effects and effectively reduce the synchronization error of the dual-motor system, with a root-mean-square synchronization error reduction of 80.974%. Therefore, the proposed method provides an effective solution for the high-precision synchronous motion of a dual-motor system.
APPLIED SCIENCES-BASEL
(2023)
Article
Mathematics, Applied
Ghodsieh Ghanbari, Mohsen Razzaghi
Summary: A new alternative numerical method using fractional-order Chebyshev wavelets to solve variable-order fractional optimal control problems is introduced, providing an exact value for the fractional integration of the given wavelets using regularized beta functions. By applying this formula and the given wavelets, the VO-FOCP is reduced to a system of algebraic equations which can be solved with known methods, with convergence analysis for function approximation. Several numerical examples demonstrate the method's superior accuracy compared to existing methods in the literature.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Engineering, Aerospace
Wenjie Qing, Binfeng Pan, Yueyang Hou, Shan Lu, Wenjing Zhang
Summary: In this study, a novel fractional-order sliding mode-based control method was developed for a class of nonautonomous nonlinear systems, using a fractional stability theorem and a fractional-order sliding surface. The applicability and efficiency of the proposed method were demonstrated through simulation results.
Article
Engineering, Mechanical
He Li, Jie Li, Chao Deng, Yuanxin Li
Summary: In this paper, the problem of simultaneous fault detection and reliable control (SFDC) for fractional-order linear systems in the finite frequency domain is investigated. A dynamic observer is designed for fault detection and state estimation. The proposed dynamic-observer-based controller achieves better H-8 performance. The design conditions for the detector and controller are derived based on the generalized KYP lemma to achieve H- fault sensitivity performance and H-8 interference attenuation performance in the limited frequency domain, resulting in improved disturbance attenuation and fault sensitivity performance. Simulation results confirm the effectiveness of the designed method.
Article
Automation & Control Systems
Vivek Pawan Shankaran, Sheikh Izzal Azid, Utkal Mehta
Summary: In this paper, a fractional-order PI plus D (PI lambda-D) structure is proposed for second-order integrating plants. A feedback controller is designed to locate the integrating pole(s) to improve the stability region of the controlling system. The explicit formulae are derived to construct the complex root boundary (CRB) for a given plant model with fractional integrator. The effectiveness of the proposed approach is demonstrated through numerical examples and a hardware experiment on a physical integrating system.
