引用本文:李俊民，万百五，黄正良.具有模型和实际差异的非线性离散动态系统最优控制[J].控制理论与应用,1999,16(1):32~37.[点击复制]
Li Junmin,Wan Baiwu,Huang Zhengliang.Optimal Control of Nonlinear Discrete Systems With Model-Reality Differences[J].Control Theory and Technology,1999,16(1):32~37.[点击复制]
具有模型和实际差异的非线性离散动态系统最优控制
Optimal Control of Nonlinear Discrete Systems With Model-Reality Differences
摘要点击 1126  全文点击 452  投稿时间：1996-07-11  修订日期：1997-12-17
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DOI编号  
  1999,16(1):32-37
中文关键词  非线性离散动态系统  模型失配  动态系统优化与参数估计集成  终端等式约束  收敛性与最优性
英文关键词  nonlinear discrete-time dynamic system  model-reality differences  dynamic integrated system optumuzation and parameter estimation estimation  final equality constrains  convergence and optimality
基金项目  
作者单位
李俊民，万百五，黄正良  
中文摘要
      针对模型与实际存在一定差异的情况，提出一种求解非线性离散系统的最优控制的动态系统优化和参数估计集成（Dynamic Integrated System Optimization and Parameter Estimation,简称DISOPE）的研究法，推导出一组求解一类有终端等式约束的非齐次线性两点边值问题的递推公式，对于有终端等式约束的非线性最优控制问题得到了在计算上易于实现的一种DISOPE迭代算法，通过修正的基于模型优化和参数估计的迭代求解，获得实际控制问题的最优解，给出了该算法收敛的一个充分条件，仿真例子说明了该算法的性能。
英文摘要
      An iterative algorithm of dunamiv imtegrated system optimizatiom and parameter estimation(DISOPE) approach is presented for solving nonlinear discrete optimal control probkems where the model-reality differences exists.An implementable algorithm by means of alternative solving the problem of system optimization on the basis of a linear quadratic problem and of differences.A method of recursive solving nonhomogeneous linear two-point-boundary problem with terminal equality constraints is induced.A sufficient condition of the convergence is also given.The simulation example illustrates the efficiency of the algorithm.