用于控制器參數(shù)尋優(yōu)的目標(biāo)函數(shù)研究

控制系統(tǒng)的參數(shù)優(yōu)化問(wèn)題總要涉及到如何選擇目標(biāo)函數(shù)的問(wèn)題，其目的是使目標(biāo)函數(shù)能比較確切地反映系統(tǒng)的特性，而且又能計(jì)算簡(jiǎn)單。本文先將優(yōu)化設(shè)計(jì)中的單純形尋優(yōu)法和MATLAB 的優(yōu)化控制工具箱有機(jī)地結(jié)合起來(lái)，選取基于“ISE 準(zhǔn)則”的目標(biāo)函數(shù)，經(jīng)過(guò)大量的仿真試驗(yàn)證明“ISE 準(zhǔn)則”確實(shí)存在問(wèn)題。最后利用最優(yōu)控制理論推導(dǎo)和分析，提出了一種適用于控制系統(tǒng)參數(shù)尋優(yōu)的新的目標(biāo)函數(shù)，并說(shuō)明了所給出的新的目標(biāo)函數(shù)使得控制系統(tǒng)的時(shí)域性能指標(biāo)（超調(diào)量和調(diào)節(jié)時(shí)間）都得到很大的改善。
關(guān)鍵詞：?jiǎn)渭冃畏?；目?biāo)函數(shù)；參數(shù)優(yōu)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