基于改进麻雀搜索算法的分数阶PID参数整定

Fractional order PID parameter tuning based on improved sparrow search algorithm

针对分数阶PID控制器的设计问题,提出一种改进麻雀搜索算法(ISSA)对分数阶PID控制器进行参数整定.在麻雀搜索算法(SSA)中引入Chebyshev混沌映射,提高SSA的种群多样性和全局搜索能力;采用自适应t分布和萤火虫算法,设置转换概率p使二者交替执行,提高SSA的收敛精度和寻优性能.对10个基准测试函数进行寻优,结果表明相较于已有的4种经典算法,ISSA在收敛速度、收敛精度、全局搜索能力等方面均有较大提升.最后,对两类被控系统进行仿真分析,相比现有成果,证实了ISSA算法对求解分数阶PID控制器参数整定问题的有效性和实用性.

Aiming at the design problem of a fractional order PID controller,an improved sparrow search algorithm(ISSA)is proposed to adjust the parameters of the fractional order PID controller.The Chebyshev chaotic map is introduced into sparrow search algorithm(SSA)to improve the population diversity and global search ability of the SSA.The adaptive t-distribution and firefly algorithm are adopted,and the conversion probability p is set to make them execute alternately,so as to improve the convergence accuracy and optimization performance of the SSA.The 10 benchmark functions,and the results show that compared with the existing four classical algorithms,the ISSA has a great improvement in convergence speed,convergence accuracy and global search ability.Finally,two kinds of controlled systems are simulated and analyzed.Compared with the existing results,the effectiveness and practicability of the proposed ISSA algorithm for solving the fractional order PID controller parameter tuning problem are verified.