An optimization algorithm for designing a stabilizing controller for linear time-varying uncertain systems with state delays
An optimization algorithm for designing a stabilizing controller for linear time-varying uncertain systems with state delays
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具有状态延迟的线性时变不确定系统稳定控制器设计的优化算法
DOI：
10.1007/s10598-013-9162-5
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
T. Hashimoto
中科院分区：
文献类型：
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作者：
T. Hashimoto
研究了一类具有状态时滞的线性不确定系统的线性无记忆状态反馈控制设计问题。所考虑的每个不确定参数和每个延迟可以取任意大的值。在这种情况下，不确定项在系统矩阵中的位置起着重要作用。到目前为止，所得到的条件表明，如果系统具有称为三角反对称构形的特定几何构形，则无论给定的不确定变量的界有多大，系统都是可镇定的。然而，虽然证明已经成功完成，但镇定控制器的设计过程仍然没有得到充分的检验。本文的目的是提供一种新的优化算法，用于设计控制器，使线性不确定时滞系统镇定，而不依赖于给定的不确定参数和时滞的界。算例验证了该方法的有效性。
This paper investigates the problem of designing a linear memoryless state feedback control to stabilize a class of linear uncertain systems with state delays. Each uncertain parameter and each delay under consideration may take arbitrarily large values. In such a situation, the locations of uncertain entries in the system matrices play an important role. So far, obtained conditions show that if a system has a particular geometric configuration called a triangular antisymmetric configuration, then the system is stabilizable however large the given bounds of uncertain variations might be. However, the procedure for designing a stabilizing controller has still not been fully examined although the proof was successfully completed. The objective of this paper is to provide a novel optimization algorithm for designing a controller to stabilize a linear uncertain delay system independently of the given bounds of uncertain parameters and time delays. An illustrative example verifies the usefulness of the proposed method.