Publications Scientifiques
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Item Influence of approximation methods on the design of the novel low-order fractionalized PID controller for aircraft system(Springer Nature, 2024) Idir, Abdelhakim; Bensafia, Yassine; Canale, LaurentIn this paper, the effect of approximation approaches on a novel low-order fractionalized proportional–integral–derivative (LOA/FPID) optimal controller based on the Harris Hawks optimization algorithm (HHOA) for airplane pitch angle control is studied. The Carlson, Oustaloup and Matsuda methods are used separately to approximate the fractional integral order of the fractionalized PID controller. This technique consists in introducing fractional-order integrators into the classical feedback control loop without modifying the overall equivalent closed loop transfer function. To validate the effectiveness of the suggested approach, performance indices, as well as transient and frequency responses, were used. The comparative study was performed, and the results show that the proposed reduced fractionalized PID based on HHO algorithm with Carlson controller is better in terms of percentage overshoot, settling time and rise time than other controllers.Item Performance improvement of aircraft pitch angle control using a new reduced order fractionalized PID controller(Wiley, 2022) Idir, Abdelhakim; Bensafia, Yassine; Khettab, Khatir; Canale, LaurentIn this paper, a new optimal reduced order fractionalized PID (ROFPID) controller based on the Harris Hawks Optimization Algorithm (HHOA) is proposed for aircraft pitch angle control. Statistical tests, analysis of the index of performance, and disturbance rejection, as well as transient and frequency responses, were all used to validate the effectiveness of the proposed approach. The performance of the proposed HHOA-ROFPID and HHOA-ROFPID controllers with Oustaloup and Matsuda approximations was then compared not only to the PID controller tuned by the original HHO algorithm but also to other controllers tuned by cutting-edge meta-heuristic algorithms such as the atom search optimization algorithm (ASOA), Salp Swarm Algorithm (SSA), sine-cosine algorithm (SCA), and Grey wolf optimization algorithm (GOA). Simulation results show that the proposed controller with the Matsuda approximation provides better and more robust performance compared to the proposed controller with the Oustaloup approximation and other existing controllers in terms of percentage overshoot, settling time, rise time, and disturbance rejectionItem Design and robust performance analysis of Low-Order approximation of fractional PID controller based on an IABC algorithm for an automatic voltage regulator system(MDPI, 2022) Idir, Abdelhakim; Canale, Laurent; Bensafia, Yassine; Khettab, KhatirIn this paper, a low-order approximation (LOA) of fractional order PID (FOPID) for an automatic voltage regulator (AVR) based on the modified artificial bee colony (ABC) is proposed. The improved artificial bee colony (IABC) high-order approximation (HOA)-based fractional order PID (IABC/HOA-FOPID) controller, which is distinguished by a significant order approximation and by an integer order transfer function, requires the use of a large number of parameters. To improve the AVR system’s performance in terms of transient and frequency response analysis, the memory capacity of the IABC/HOA-FOPID controller was lowered so that it could fit better in the corrective loop. The new robust controller is named the improved artificial bee colony (IABC) low-order approximation (LOA)-based fractional order PID (IABC/LOA-FOPID). The performance of the proposed IABC/LOA-FOPID controller was compared not only to the original ABC algorithm-tuned PID controller, but also to other controllers tuned by state-of-the-art meta-heuristic algorithms such as the improved whale optimization algorithm (IWOA), particle swarm optimization (PSO), cuckoo search (CS), many optimizing liaisons (MOL), genetic algorithm (GA), local unimodal sampling (LUS), and the tree seed algorithm (TSA). Step response, root locus, frequency response, robustness test, and disturbance rejection abilities are all compared. The simulation results and comparisons with the proposed IABC/LOA-FOPID controller and other existing controllers clearly show that the proposed IABC/LOA-FOPID controller outperforms the optimal PID controllers found by other algorithms in all the aforementioned performance testsItem Novel robust control using a fractional adaptive PID regulator for an unstable system(Institute of Advanced Engineering and Science, 2022) Bensafia, Yassine; Idir, Abdelhakim; Khettab, Khatir; Akhtar, Muhammad Saeed; Sarwat, ZahraRecent advances in fractional order calculus led to the improvement of control theory and resulted in the potential use of a fractional adaptive proportional integral derivative (FAPID) controller in advanced academic and industrial applications as compared to the conventional adaptive PID (APID) controller. Basically, a fractional order adaptive PID controller is an improved version of a classical integer order adaptive PID controller that outperformed its classical counterpart. In the case of a closed loop system, a minor change would result in overall system instability. An efficient PID controller can be used to control the response of such a system. Among various parameters of an instable system, the speed of the system is an important parameter to be controlled efficiently. The current research work presents the speed control mechanism for an uncertain, instable system by using a fractional-order adaptive PID controller. To validate the arguments, the effectiveness and robustness of the proposed fractional order adaptive PID controller have been studied in comparison to the classical adaptive PID controller using the criterion of quadratic error. Simulation findings and comparisons demonstrated that the proposed controller has superior control performance and outstanding robustness in terms of percentage overshoot, settling time, rising time, and disturbance rejectionItem Design of an optimally tuned fractionalized PID controller for DC mmotor speed control via a henry gas solubility optimization algorithm(Intelligent Network and Systems Society, 2022) Abdelhakim, Idir; Khettab, Khatir; Bensafia, YassineThe goal of this research is to develop a high-performance fractionalized proportional-integral-derivative (FPID) controller based on Henry Gas Solubility Optimization (HGSO) for controlling the speed of a direct current (DC) motor. The suggested HGSOA-based Fractionalized PID technique with Matsuda approximation method was used to obtain the optimal FPID controller by minimising the integral of time multiplied absolute error (ITAE) as the objective function. Index of performance and disturbance rejection analyses, as well as transient and frequency responses, were all employed to validate the suggested approach's effectiveness. The proposed HGSO-FPID controller with Matsuda approximation was then compared not only to the original HGSO algorithm-tuned PID controller, but also to other controllers tuned by cutting-edge meta-heuristic algorithms such as Atom Search Optimization algorithm (ASO), Grey Wolf Optimization algorithm (GWO), Particle Swarm Optimisation (PSO), Invasive Weed Optimisation (IWO), and stochastic fractal search (SFS). The results showed that the proposed HGSOA-FPID controller has better performance with lower settling time, Ts which 0.1003 s, with lower rise time, Tr which is 0.0579 s, negligible overshoot, D which is 0.0052% and strong output disturbance rejection when compared to the performance of the other controllersItem An Improved Robust Fractionalized PID Controller for a Class of Fractional-Order Systems with Measurement Noise(INASS, 2018) Bensafia, Yassine; Khettab, Khatir; Idir, AbdelhakimRecently, many research works have focused on fractional order control (FOC) and fractional systems. It has proven to be a good mean for improving the plant dynamics with respect to response time and disturbance rejection. In this paper we propose a new approach for robust control by fractionalizing an integer order integrator in the classical PID control scheme and we use the Sub-optimal Approximation of fractional order transfer function to design the parameters of PID controller, after that we study the performance analysis of fractionalized PID controller over integer order PID controller. The implementation of the fractionalized terms is realized by mean of well-established numerical approximation methods. Illustrative simulation examples show that the disturbance rejection is improved by 50%. This approach can also be generalized to a wide range of control methodsItem Speed control of DC motor using PID and FOPID controllers based on differential evolution and PSO(INASS, 2018) Idir, Abdelhakim; Kidouche, Madjid; Bensafia, YassineDC motors are widely used in industrial application for its different advantage such us high efficiency, low costs and flexibilities. For controlling the speed of DC motor, conventional controller PI and PID were the most widely used controllers. But due to empirically selected parameters 𝐾𝑝,𝐾𝑖,𝐾𝑑 and limitation of convention PID controller to achieve ideal control effect for higher order systems, a Fractional order Proportional-Integral-Derivative PID (FOPID) based on optimization techniques was proposed in this paper. The aim of this paper is to study the tuning of a FOPID controller using intelligent soft computing techniques such as Differential Evolution (DE) and Particle Swarm Optimization (PSO) for designing fractional order PID controller. The parameters of FOPID controller are determined by minimizing the Integral Time Absolute Error (ITAE) between the output of reference model and the plant. The performance of DE and PSO were compared with several simulation experiments. The simulation results show that the DE-based FOPID controller tuning approach provides improved performance for the setpoint tracking, error minimization, and measurement noise attenuation
