Abstract

A constructive method for synthesizing the optimal control of deterministic and not completely determined systems with distributed parabolic parameters under the conditions of the prescribed accuracy of a uniform approximation of the terminal plant state to the required spatial distribution of the controlled variable is proposed. This approach is based on the earlier developed alternance method for constructing optimal open-loop control algorithms, which extends the results of the theory of nonlinear Chebyshev approximations to a wide range of parameterizable optimal control problems and takes into account fundamental features of the domain. It is shown that the optimal controller equations are reduced to linear output feedback equations with time-dependent coefficients that are calculated based on incomplete measurements of the system’s state with an error that decreases as the number of modal components of the controlled variable that are taken into account increases.

中文翻译：

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目标集统一估计下分布参数控制系统线性二次问题中最优控制器的解析设计

摘要

提出了一种构造性方法，用于在终端设备状态均匀逼近受控变量所需空间分布的规定精度的条件下，对具有分布式抛物线参数的确定性和非完全确定性系统进行综合优化控制。这种方法基于较早开发的用于构建最优开环控制算法的交替方法，该方法将非线性切比雪夫近似理论的结果扩展到范围广泛的可参数化最优控制问题，并考虑了域的基本特征。