On Target Control Synthesis Under Set-Membership Uncertainties Using Polyhedral Techniques
On Target Control Synthesis Under Set-Membership Uncertainties Using Polyhedral Techniques
复制标题
利用多面体技术研究集合隶属不确定性下的目标控制综合
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
E. K. Kostousova
中科院分区：
文献类型：
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作者：
E. K. Kostousova
研究了线性和双线性不确定系统的反馈终端目标控制问题。我们继续使用多面体（parallelotope-valued）可解性管的控制合成的发展。本文涉及两种类型的问题，其中控制出现添加剂或在系统矩阵。对于这两个问题，没有不确定性的情况下，与添加剂平行六面体有界的不确定性，也与区间不确定性的系统的系数（双线性不确定性）被认为是。常微分方程，描述上述多面体可解性管，提出了这些情况下的每一个。提出了新的控制策略，这些控制策略可以在所述管的基础上通过显式公式计算。计算机模拟的结果。
Problems of feedback terminal target control for linear and bilinear uncertain systems are considered. We continue the development of control synthesis using polyhedral (parallelotope-valued) solvability tubes. The paper deals with two types of problems, where controls appear either additively or in the system matrix. For both problems, the cases without uncertainties, with additive parallelotope-bounded uncertainties, and also with interval uncertainties in coefficients of the system (a bilinear uncertainty) are considered. Ordinary differential equations, which describe the mentioned polyhedral solvability tubes, are presented for each of these cases. New control strategies, which can be calculated by explicit formulas on the base of the mentioned tubes, are proposed. Results of computer simulations are presented.