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Asymptotic Approximations to the Solution of the Singularly Perturbed Linear-Quadratic Optimal Control Problem with Terminal Path Constraints
Automation and Remote Control ( IF 0.7 ) Pub Date : 2020-06-15 , DOI: 10.1134/s0005117920060041
A. I. Kalinin , L. I. Lavrinovich

The minimum-energy control problem for a linear singularly perturbed system with linear constraints imposed on the right endpoint of the trajectories is considered. Asymptotic approximations in the form of open loop and feedback controls to the optimal control (solution of this problem) are constructed. The main advantage of the algorithms proposed below consists in the decomposition of the original problem into two unperturbed optimal control problems of smaller dimension.



中文翻译:

具有终端路径约束的奇摄动线性-二次最优控制问题解的渐近逼近

考虑了在轨迹的右端点上施加线性约束的线性奇异摄动系统的最小能量控制问题。构造了以开环和反馈控制为最优控制(此问题的解决方案)形式的渐近逼近。下面提出的算法的主要优点在于将原始问题分解为两个较小尺寸的无扰动最优控制问题。

更新日期:2020-06-15
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