引用本文:孙增圻,马少平.连续系统中二次型性能函数对系统参数灵敏度的计算[J].控制理论与应用,1992,9(3):209~214.[点击复制]
SUN Zengqi and MA Shaoping.Computation of Parameter Sensitivities of Quadratic Performance Function in Time Continuous System[J].Control Theory and Technology,1992,9(3):209~214.[点击复制]
连续系统中二次型性能函数对系统参数灵敏度的计算
Computation of Parameter Sensitivities of Quadratic Performance Function in Time Continuous System
摘要点击 890  全文点击 376  投稿时间：1991-06-24  修订日期：1991-12-05
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DOI编号  
  1992,9(3):209-214
中文关键词  参数灵敏度  二次型性能函数  李雅普诺夫方程
英文关键词  parameter sensitivities  quadratic performance function  Lyapunov equation
基金项目  
作者单位
孙增圻,马少平 清华大学计算机系 
中文摘要
      本文给出了在连续系统中计算二次型性能函数对系统参数灵敏度的一般方法，结果归结为求解两个对偶的李雅普诺夫方程。同时给出了不同控制器结构时的具体算法。对于随机系统，也给出了相应的计算方法。最后举例说明本文结果在系统分析中的应用。
英文摘要
      General formulas are given in this paper for computation of parameter sensitivities of quadratic performance function in time continuous systems. The main computation is to solve two dual Lyapunov equations. The concrete algorithms are given for different control structures and for stochastic systems. Finally an example is presented to show the application of the results of this paper in system analysis and design.