非线性最优控制:局部最优原理

Proceedings of IEEE International Conference on Industrial Technology 2000 (IEEE Cat. No.00TH8482) Pub Date : 2000-01-19 DOI:10.1109/ICIT.2000.854125

Hayase, T. Yamazaki, E. Rijanto

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引用次数: 2

摘要

本文证明了用状态相关Riccati方程(SDRE)构造的非线性调节器是原最优控制问题的局部最优解。为了证明这一事实，利用了拉格朗日乘子法、最小值原理和动态规划等传统方法，并通过对动态规划最优性原理的修改，引入了局部最优性原理的思想。

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Nonlinear optimal control: principle of local optimality

In this paper, it is shown that a nonlinear regulator constructed by using a state-dependent Riccati equation (SDRE) is a local optimal solution of the original optimal control problem. In order to prove this fact, the conventional methods-Lagrange multiplier method, minimum principle and dynamic programming are used-and an idea of the principle of local optimality is introduced by modifying the principle of optimality of dynamic programming.

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Proceedings of IEEE International Conference on Industrial Technology 2000 (IEEE Cat. No.00TH8482)

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