用于控制器参数寻优的目标函数研究

控制系统的参数优化问题总要涉及到如何选择目标函数的问题，其目的是使目标函数能比较确切地反映系统的特性，而且又能计算简单。本文先将优化设计中的单纯形寻优法和MATLAB 的优化控制工具箱有机地结合起来，选取基于“ISE 准则”的目标函数，经过大量的仿真试验证明“ISE 准则”确实存在问题。最后利用最优控制理论推导和分析，提出了一种适用于控制系统参数寻优的新的目标函数，并说明了所给出的新的目标函数使得控制系统的时域性能指标（超调量和调节时间）都得到很大的改善。
关键词：单纯形法；目标函数；参数优化

Research on Object Function of Optimal Parameters for controllers HE Jinyuan 1 ZHOU Guopeng2,3 (1.Network Center of Xianning college, Xianning, Hubei, China , 437005; 2. Mathematic department of Xianning college, Xianning, Hubei, China , 437005; 3. College of Automation Science & Engineering , South China University of Technology, Guangzhou,
Guangdong , China, 510641) Abstract：The parameter optimization of control systems always refers to different object functions. The propose is that the selected object function should exactly reflect the characteristic of the control system, while making the computation easy. In this paper we combine simplex search of optimization technique and optimization toolbox in
Matlab confirm that "ISE" principle has some problems while using it as our object function. By the means of theory analysis based on optimization, we propose a new object function, which improve the time domain performance evaluation (such as overshoot and adjustment time).
Key Words：Simplex search; Object function; Parameter optimization