Singularly Perturbed Optimal Tracking Problem

Pub Date : 2024-07-30 DOI:10.1134/s0012266124040116
V. A. Sobolev
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Abstract

We consider a singularly perturbed optimal tracking problem with a given reference path in the case of incomplete information about the state vector in the presence of exogenous disturbances. To analyze the differential equations that arise when solving this problem, we use the decomposition method, which is based on the technique of integral manifolds of fast and slow motions.

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奇异扰动优化跟踪问题
摘要 我们考虑了在存在外生扰动的状态向量信息不完整的情况下,一个具有给定参考路径的奇异扰动最优跟踪问题。为了分析求解该问题时产生的微分方程,我们使用了基于快慢运动积分流形技术的分解方法。
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