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.
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
Mathematics, Interdisciplinary Applications
Changjin Xu, Maoxin Liao, Peiluan Li, Lingyun Yao, Qiwen Qin, Youlin Shang
Summary: In this study, a novel fractional-order Jerk system was proposed and two control strategies were designed to suppress the chaotic phenomenon, enriching the chaos control theory of fractional-order dynamical systems. The results are new and have potential application value in controlling chaos in physics.
FRACTAL AND FRACTIONAL
(2021)
Article
Automation & Control Systems
Xu Li, Lifu Gao
Summary: This paper studies the design of robust FOPID controllers for controlled plants with uncertainty, and verifies the effectiveness of the method through simulation experiments. The results show that the system with the proposed FOPID controller is stable and robust to variations in uncertain parameters, providing relatively robust performance compared to controllers designed by other methods.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2021)
Article
Computer Science, Artificial Intelligence
Lu Liu, Dingyu Xue, Shuo Zhang
Summary: This paper proposes a fuzzy fractional-order PID control algorithm for a general type industrial temperature control system. A fractional-order elementary system is used to describe the temperature control process, aiming to improve production quality and controlled model accuracy. The gain coefficients of the proposed fractional-order PID controller are updated online based on a set of fractional-order fuzzy rules defined by Mittag-Leffler functions. The effectiveness of the proposed controller is verified through examples of temperature control systems, demonstrating its superior dynamic performance and robustness to internal and external disturbances caused by environment changes.
COMPLEX & INTELLIGENT SYSTEMS
(2023)
Article
Computer Science, Information Systems
Son H. H. Nguyen, Vu N. L. Truong, Long N. P. Nguyen
Summary: This paper proposes a design method for a cascade control system and suggests the use of a Smith predictor in the control structure to eliminate delay terms in closed-loop systems in order to deal with delay times in most process control systems. The classical proportional-integral (PI) controller and the fractional-order PI controller are adopted for the inner loop and the outer loop respectively. The analytical tuning rules are derived based on frequency domain and direct synthesis method to improve disturbance rejection and set-point tracking performance. An illustrative example is provided to demonstrate the effectiveness of the proposed algorithm. Additionally, the robust stability of the fractional-order system is analyzed to show that the proposed fractional-order PI controller can handle perturbation uncertainties in process models well.
Article
Energy & Fuels
Vigya, Tarkeshwar Mahto, Hasmat Malik, V Mukherjee, Majed A. Alotaibi, Abdulaziz Almutairi
Summary: This study focuses on the electrical characteristics of a hybrid power system incorporating renewable energy generation, proposing a FO-Fuzzy PID controller to manage frequency and power fluctuations under different generation and load conditions. The results demonstrate the effectiveness of the proposed controller in controlling the system.
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
Mathematics
Kamal Elyaalaoui, Moussa Labbadi, Sahbi Boubaker, Souad Kamel, Faisal S. Alsubaei
Summary: This paper proposes a predefined-time fractional-order control for a quadrotor system subjected to perturbations. A fractional-order sliding manifold is proposed for predefined-time convergence of the tracking error, and a fractional-order switching-type predefined-time controller is proposed for robustness against external disturbances. The predefined stability/convergence is proved using Lyapunov functions. The proposed method is validated using an adequate scenario and compared to other controllers to demonstrate its feasibility and superiority.
Article
Engineering, Multidisciplinary
RenHao Mok, Mohd Ashraf Ahmad
Summary: Voltage regulation in AVR systems is a challenging problem due to uncertain load conditions. This study proposes a modified smoothed function algorithm (MSFA) based method to tune the FOPID controller of AVR system, which improves the system's output response while maintaining robustness and simplicity. The proposed method is highly effective and significantly improves compared to other existing FOPID controllers.
ENGINEERING SCIENCE AND TECHNOLOGY-AN INTERNATIONAL JOURNAL-JESTECH
(2022)
Article
Automation & Control Systems
Akhilesh Kumar Mishra, Puneet Mishra, H. D. Mathur Birla
Summary: Load frequency regulation is a vital and complex ancillary service in a deregulated power system. The increasing penetration of renewable energy sources in an integrated power system escalates the control complexity, and this study proposes and investigates the use of an intelligent, direct adaptive control scheme, namely the self-tuning fractional order fuzzy PID (STFOFPID) controller, to overcome the problems in frequency regulation.
Article
Automation & Control Systems
Jiajin He, Min Xiao, Yunxiang Lu, Zhen Wang, Wei Xing Zheng
Summary: This paper introduces a fractional-order proportional-integral-derivative (PID) controller to control the dynamic evolution of network congestion. A congestion model with fractional-order PID controller is constructed and the tipping point induced by Hopf bifurcation of the uncontrolled model is studied. The tipping point can be delayed with the controller. Conditions for the occurrence of Hopf bifurcation are given and the stable and unstable ranges of control parameters for the controlled model are deduced. Simulated examples are provided to verify the theoretical results and demonstrate the superiority of the controller in tipping regulation. The bidirectional effects of the controller are also displayed by manipulating the control parameters.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2023)
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
Environmental Sciences
Amirreza Naderipour, Zulkurnain Abdul-Malek, Iraj Faraji Davoodkhani, Hesam Kamyab, Roshafima Rasit Ali
Summary: This paper proposes a self-tuning controller based on fuzzy logic and fractional-order controller to overcome parameter uncertainties in microgrid systems. It combines the robust performance of the fractional-order controller with the flexible structure of the fuzzy logic controller to achieve better load-frequency control in off-grid microgrids with renewable resources.
ENVIRONMENTAL SCIENCE AND POLLUTION RESEARCH
(2023)
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.
