Abstract
To select reasonable PID controller parameters and improve control performances of hydraulic systems, a variable weight beetle antenna search algorithm is proposed for PID tuning in the hydraulic system. The beetle antennae search algorithm is inspired by the beetle preying habit depending on symmetry antennae on the head. The proposed algorithm added the exponential equation mechanism strategy in the basic algorithm to further improve the searching performance, the convergence speed, and the optimization accuracy and obtain new iteration and an updating method in the global searching and local searching stages. In the PID tuning process, advantages of less parameters and fast iteration are realized in the PID tuning process. In this paper, different dimension functions were tested, and results calculated by the proposed algorithm were compared with other famous algorithms, and the numerical analysis was carried out, including the iteration, the box-plot, and the searching path, which comprehensively showed the searching balance in the proposed algorithm. Finally, the reasonable PID controller parameters are found by using the proposed method, and the tuned PID controller is introduced into the hydraulic system for control, and the time-domain response characteristics and frequency response characteristics are given. The results show that the proposed PID tuning method has good PID parameter tuning ability, and the tuned PID has a good control ability, which makes the hydraulic system achieve the desired effect.
Highlights
Hydraulic systems, as an important transmission form in the traditional industry, are widely used in various heavy industries, military equipment and engineering vehicles [1,2,3,4,5,6,7,8], which is a high-level signal response closed-loop system
It shows a good performance in solving linear and nonlinear problems, constraint functions, multiobjective problems, and so on [18,19,20]. e intelligent algorithm is used to adjust PID parameters, such as future search algorithm, fireworks algorithm, particle swarm optimization algorithm, and crow search algorithm, which greatly improves the PID control performance [21,22,23,24]. e beetle antennae search algorithm (BAS) inspired by beetle living habits was proposed by Jiang and Li in 2017 [25]. e beetle preying habit in nature depends on the symmetry antennae on both sides of the beetle head, and antennae odor cells can find the concentration of food pheromone in the air
To further enhance the BAS optimization abilities, this paper proposed the variable weight beetle antennae search algorithm (VWBAS) which added the exponential equation in basic BAS
Summary
As an important transmission form in the traditional industry, are widely used in various heavy industries, military equipment and engineering vehicles [1,2,3,4,5,6,7,8], which is a high-level signal response closed-loop system. With the rapid development of the electronic information technology and the wide application of intelligent control algorithm, a series of advanced new PID control strategies, such as the neural network PID, the robust nonfragile PID, the fuzzy PID, the sliding mode variable structure PID, and the adaptive PID, are born These control algorithms have some advantages, it is difficult to realize in the actual control process. The metaheuristic algorithm has been widely used in the field of Advances in Materials Science and Engineering engineering for its advantages of simple implementation, wide application, and strong practicability It shows a good performance in solving linear and nonlinear problems, constraint functions, multiobjective problems, and so on [18,19,20]. For BA and artificial bee colony (ABC), BAS owns a higher efficiency and lower complexity [26, 27] and is used in many fields [28,29,30,31,32,33,34,35,36,37]
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