Article
Computer Science, Information Systems
Jin Gao, Hui Li
Summary: In this paper, a 7 DOF semi-active suspension model was established and a fractional order (PID mu)-D-lambda-LQR controller was designed to improve the control effect and enhance the ride comfort and body stability of the vehicle. The NSGA-II algorithm was used to optimize the controller parameters, and simulation results showed significant improvement in vehicle smoothness and anti-roll performance with the use of the fractional order (PID mu)-D-lambda-LQR control.
Article
Automation & Control Systems
Pengchong Chen, Ying Luo, Yibing Peng, YangQuan Chen
Summary: This paper introduces a tuning procedure combining frequency-domain and time-domain specifications to obtain an optimal robust fractional order PID-D-lambda controller for FOPTD processes. The proposed controller ensures systemic stability, robustness to gain variations, and optimal dynamic performance, outperforming other controllers.
Article
Automation & Control Systems
Zhijie Li, Jie Ding, Min Wu, Jinxing Lin
Summary: A discrete fractional order PID controller for nonlinear systems is proposed in this study, utilizing a U-model to transform nonlinear systems into linear-like models for simplified controller design. The new control law in difference equation includes two additional adjustable parameters and its robust stability is analysed. Deterministic and stochastic examples are used to demonstrate the effectiveness and superiority of the proposed controller.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2021)
Article
Chemistry, Multidisciplinary
Guangyu Li, Baojie Chen, Huayue Chen, Wu Deng
Summary: A novel identification method based on an adaptive neural fuzzy model (ANFM) is proposed in this paper to approximate the inverse dynamic characteristics of underactuated ships. The trained ANFM is used as an inverse controller along with a fractional-order (PID mu)-D-lambda controller for course control. The simulation results demonstrate the effectiveness and control performance of the proposed method, and comparative experiments show the advantages of using the ANFM controller.
APPLIED SCIENCES-BASEL
(2022)
Article
Mathematics, Interdisciplinary Applications
Adel Makhbouche, Badreddine Boudjehem, Isabela Birs, Cristina I. Muresan
Summary: This article presents a novel controller structure combining computational intelligence (CI) and fractional-order control for controlling processes with time delays. A fractional-order PID (FOPID) controller based on a bio-inspired immune feedback mechanism (IFM) is developed for controlling first-order plus time-delay systems (FOPTD). Genetic algorithm (GA) is used to optimize the controller parameters. Numerical simulations demonstrate the effectiveness of the proposed control strategy in terms of reference tracking and disturbance rejection, and the efficiency of the proposed fractional-order method compared to an immune integer-order PID controller.
FRACTAL AND FRACTIONAL
(2023)
Article
Energy & Fuels
Yaroslav Marushchak, Damian Mazur, Bogdan Kwiatkowski, Bohdan Kopchak, Tadeusz Kwater, Maciej Koryl
Summary: This study considers the approximation of the transfer function of a fractional order (PID mu)-D-lambda-controller using a chain fraction theory. Analytical expressions for the s(+/-alpha) components of the transfer functions were obtained through the application of the chain fraction theory. The study demonstrates the advantages of using the chain fraction method to approximate the transfer function of the (PID mu)-D-lambda-controller and opens up possibilities for the technical implementation of this controller.
Article
Mathematics, Interdisciplinary Applications
Lingling Xie, Di Wan, Rui Qin
Summary: Based on the fact that the inductor and capacitor are of a non-integer order by nature, this paper establishes a fractional-order model for the Buck-Boost converter in continuous current mode using fractional-order calculus theory. A fractional-order PI control system is designed to compare its performance with an integer-order PI controller. The sparrow search algorithm is then applied to optimize the fractional-order PI control system, improving system stability and robustness. Simulation on Matlab/Simulink platform validates the effectiveness of the proposed approach.
FRACTAL AND FRACTIONAL
(2023)
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
Chemistry, Multidisciplinary
Guangyu Li, Yanxin Li, Huayue Chen, Wu Deng
Summary: This paper presents a new fractional-order PID controller for the automatic rudder of underactuated surface vessels (USVs). The controller introduces integral and differential orders, resulting in improved accuracy and robustness. A novel particle swarm optimization algorithm is also proposed for dynamic adjustment of the controller parameters. Experimental results demonstrate that the FO (PID mu)-D-lambda controller based on the IPSO algorithm achieves small overshoot, short adjustment time, precise control, and strong anti-disturbance control.
APPLIED SCIENCES-BASEL
(2022)
Article
Computer Science, Artificial Intelligence
Raafat Shalaby, Mohammad El-Hossainy, Belal Abo-Zalam, Tarek A. Mahmoud
Summary: In this paper, an online optimization approach of a fractional-order PID controller based on a fractional-order actor-critic algorithm (FOPID-FOAC) is proposed to improve the performance of nonlinear systems. The effectiveness of the proposed approach is proven by extensive simulations and compared against other control algorithms.
NEURAL COMPUTING & APPLICATIONS
(2023)
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
Mathematics, Interdisciplinary Applications
Chunna Zhao, Murong Jiang, Yaqun Huang
Summary: Fractional-order PID control is a milestone in the development of fractional-order control theory, which can improve control precision and accuracy, and achieve more robust control results. This paper validates the superior performance of fractional-order PID control through higher-order logic theorem proofs and establishes formal models to verify the stability of fractional-order control systems.
FRACTAL AND FRACTIONAL
(2022)
Article
Construction & Building Technology
Shaoyong Li, Mingsong Wei, Yeru Wei, Zongli Wu, Xilian Han, Rongxia Yang
Summary: This paper proposes a hybrid control system that uses a modified ant colony optimization algorithm to adjust the parameters of a fractional order PID controller for achieving the desired indoor temperature control. Meanwhile, a three-position controller is used to regulate the supply air volume to provide dynamic variation for cooling or heating load in the air-conditioning room. Numerical simulation results show that the proposed algorithm is reliable and improves the control quality of indoor temperature significantly.
JOURNAL OF BUILDING ENGINEERING
(2021)
Article
Green & Sustainable Science & Technology
Bapayya Naidu Kommula, Venkata Reddy Kota
Summary: This paper presents an effective torque and speed regulation strategy for BLDC motors using a modified firefly algorithm and particle swarm optimization-based fractional order PID controller. The proposed controller overcomes the uncertainty issues caused by load variations and PID parameter tuning, and provides accurate control method.
SUSTAINABLE ENERGY TECHNOLOGIES AND ASSESSMENTS
(2022)
Article
Mathematics, Interdisciplinary Applications
Banu Ataslar-Ayyildiz, Oguzhan Karahan, Serhat Yilmaz
Summary: This study focuses on controlling and stabilizing Maglev systems using fractional order controllers and a hybrid tuning method of GWO-PSO algorithms to achieve robust stability and disturbance rejection. Different control approaches such as fractional order PID, fractional order sliding mode, and fractional order Fuzzy control methods are applied to enhance the control performance of the Maglev system. The simulation results show that the fractional controllers demonstrate better control performance, fast and robust stability, and excellent disturbance suppression effect, proving effective in dealing with the nonlinearity and uncertainty in the Maglev system.
FRACTAL AND FRACTIONAL
(2021)
Article
Instruments & Instrumentation
Braden Goddard, George W. Hitt, Alexander A. Solodov, Dorian Bridi, A. F. Isakovic, Reyad El-Khazali, Ayman Abulail
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT
(2016)
Article
Physics, Multidisciplinary
Iqbal M. Batiha, Reyad El-Khazali, Ahmed AlSaedi, Shaher Momani
Article
Computer Science, Hardware & Architecture
Reyad El-Khazali
ANALOG INTEGRATED CIRCUITS AND SIGNAL PROCESSING
(2015)
Article
Mathematics, Applied
Reyad El-Khazali, M. H. B. M. Shariff
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2010)
Article
Chemistry, Inorganic & Nuclear
G. W. Hitt, B. Goddard, A. A. Solodov, D. Bridi, A. F. Isakovic, R. El-Khazali
APPLIED RADIATION AND ISOTOPES
(2017)
Proceedings Paper
Engineering, Electrical & Electronic
Reyad El-Khazali
2015 IEEE 58TH INTERNATIONAL MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS (MWSCAS)
(2015)
Proceedings Paper
Mathematics, Applied
R. El-Khazali, N. Tawalbeh, O. Al-Khatib, I. AbuShawish
2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA)
(2014)
Proceedings Paper
Engineering, Electrical & Electronic
Reyad El-Khazali
2013 IEEE 56TH INTERNATIONAL MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS (MWSCAS)
(2013)
Proceedings Paper
Engineering, Electrical & Electronic
Nabeel Tawalbeh, Reyad El-Khazali
2012 16TH IEEE MEDITERRANEAN ELECTROTECHNICAL CONFERENCE (MELECON)
(2012)
Proceedings Paper
Engineering, Electrical & Electronic
Reyad El-Khazali, Nabeel Tawalbeh
2012 16TH IEEE MEDITERRANEAN ELECTROTECHNICAL CONFERENCE (MELECON)
(2012)
Article
Mathematics, Interdisciplinary Applications
Wajdi M. Ahmad, Reyad El-Khazali
CHAOS SOLITONS & FRACTALS
(2007)
Article
Mathematics, Interdisciplinary Applications
Reyad El-Khazali, Wajdi Ahmad, Yousef Al-Assaf
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2006)
Article
Mathematics, Interdisciplinary Applications
Y Al-Assaf, R El-Khazali, W Ahmad
CHAOS SOLITONS & FRACTALS
(2004)
Article
Engineering, Electrical & Electronic
A Al-Dweik, R El-Khazali
IEICE TRANSACTIONS ON COMMUNICATIONS
(2006)
Article
Mathematics, Applied
Junfeng Cao, Ke Chen, Huan Han
Summary: This paper proposes a two-stage image segmentation model based on structure tensor and fractional-order regularization. In the first stage, fractional-order regularization is used to approximate the Hausdorff measure of the MS model. The solution is found using the ADI scheme. In the second stage, thresholding is used for target segmentation. The proposed model demonstrates superior performance compared to state-of-the-art methods.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Dylan J. Oliver, Ian W. Turner, Elliot J. Carr
Summary: This paper discusses a projection-based framework for numerical computation of advection-diffusion-reaction (ADR) equations in heterogeneous media with multiple layers or complex geometric structures. By obtaining approximate solutions on a coarse grid and reconstructing solutions on a fine grid, the computational cost is significantly reduced while accurately approximating complex solutions.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Nathan V. Roberts, Sean T. Miller, Stephen D. Bond, Eric C. Cyr
Summary: In this study, the time-marching discontinuous Petrov-Galerkin (DPG) method is applied to the Vlasov equation for the first time, using backward Euler for a Vlasov-Poisson discretization. Adaptive mesh refinement is demonstrated on two problems: the two-stream instability problem and a cold diode problem.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Yizhi Sun, Zhilin Sun
Summary: This work investigates the convexity of a specific class of positive definite probability measures and demonstrates the preservation of convexity under multiplication and intertwining product. The study reveals that any integrable function on an interval with a polynomial expansion of fast absolute convergence can be decomposed into a pair of positive convex interval probabilities, simplifying the study of interval distributions and discontinuous probabilistic Galerkin schemes.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Bhagwan Singh, Komal Jangid, Santwana Mukhopadhyay
Summary: This paper examines the prediction of bending characteristics of nanoscale materials using the Moore-Gibson-Thompson thermoelasticity theory in conjunction with the nonlocal strain gradient theory. The study finds that the stiffness of the materials can be affected by nonlocal and length-scale parameters, and the aspect ratios of the beam structure play a significant role in bending simulations.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Guoliang Wang, Bo Zheng, Yueqiang Shang
Summary: This paper presents and analyzes a parallel finite element post-processing algorithm for the simulation of Stokes equations with a nonlinear damping term, which integrates the algorithmic advantages of the two-level approach, the partition of unity method, and the post-processing technique. The algorithm generates a global continuous approximate solution using the partition of unity method and improves the smoothness of the solution by adding an extra coarse grid correction step. It has good parallel performance and is validated through theoretical error estimates and numerical test examples.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Hao Xu, Zeng-Qi Wang
Summary: Fluid flow control problems are crucial in industrial applications, and solving the optimal control of Navier-Stokes equations is challenging. By using Oseen's approximation and matrix splitting preconditioners, we can efficiently solve the linear systems and improve convergence.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Zhengya Yang, Xuejuan Chen, Yanping Chen, Jing Wang
Summary: This paper focuses on the high-order stable numerical solutions of the time-space fractional diffusion equation. The Fourier spectral method is used for spatial discretization and the Spectral Deferred Correction (SDC) method is used for numerical solutions in time. As a result, a high-precision numerical discretization scheme for solving the fractional diffusion equation is obtained, and the convergence and stability of the scheme are proved. Several numerical examples are presented to demonstrate the effectiveness and feasibility of the proposed numerical scheme.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
