Finite-Time Optimal Control of Polynomial Systems Using Successive Suboptimal Approximations

被引：0
作者：
X. Xu
S. K. Agrawal
机构：
[1] University of Delaware,Department of Mechanical Engineering
来源：
Journal of Optimization Theory and Applications | 2000年 / 105卷
关键词：
optimal control; polynomial systems; quasilinearization; successive approximation; convergence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is shown in this paper that the finite-time optimal control of polynomial systems can be obtained by solving a sequence of optimal control problems for the linearized problem. The paper provides proof of convergence as well as illustration of the procedure by two examples.
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页码：477 / 489
页数：12
相关论文
共 6 条
  • [1] Hofer E. P.(1988)An Iterative Method for the Finite-Time Bilinear-Quadratic Control Problem Journal of Optimization Theory and Applications 57 411-427
  • [2] Tibkin B.(1994)The Successive Approximation Procedure for Finite-Time Optimal Control of Bilinear Systems IEEE Transactions on Automatic Control 39 1932-1935
  • [3] Aganovic Z.(1964)On Global Representations of the Solutions of Linear Differential Equations as a Product of Exponentials Proceedings of the American Mathematical Society 15 327-334
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