Research On Intelligent Algorithm For Parameter Setting Of Fractional Order Controller

Control science is one of the most active disciplines in the application of fractional order calculus.The design of fractional order PID controller has important engineering application value.The design method of fractional order PID controller has become a frontier problem in the field of fractional order control engineering.In this paper,two improved sparrow search algorithms are proposed to design fractional order PID controller.In order to improve the quality and diversity of the initial population,the first improved sparrow search algorithm uses elite reverse learning strategy to initialize the population,and uses this strategy to optimize the iterative process of the algorithm.It improves the local development ability of the algorithm.At the same time,in order to further improve the convergence precision and optimization performance,the random walk mechanism is introduced and the conversion probability p is set to make the two execute alternately.The results of optimizing 10 benchmark test functions show that compared to the existing four classic algorithms,the first improved sparrow search algorithm has significant improvements in convergence accuracy,convergence speed,and global search ability.Finally,two kinds of control systems are simulated.Compared with existing achievements,it has been confirmed that the parameter tuning of the fractional order PID controller based on the first improved sparrow search algorithm is excellent and effective.The second improved sparrow search algorithm introduced Chebyshev chaotic mapping mechanism in order to improve the diversity of sparrow population and enhance the ability of global search.The adaptive T-distribution and firefly disturbance are applied,and the conversion probability p is set to execute them alternately.It improves the convergence accuracy and optimization performance of the classical sparrow algorithm.The results of optimizing 10 benchmark test functions show that compared to the four classic algorithms,the second improved sparrow search algorithm has significant improvements in convergence speed,convergence accuracy,and the ability to jump out of local extremum.Finally,the two controlled systems are simulated and analyzed.Compared with the existing results,the effectiveness and practicability of the second improved sparrow search algorithm in this paper for solving the parameter tuning problem of fractional order PID controller are verified.Finally,the paper compares and evaluates the performance of the two improved sparrow search algorithms.It proves that the second improved sparrow search algorithm is more excellent and more suitable for the design of fractional order PID controller.