Null Controllability of Linear Systems with Constrained Controls
Null Controllability of Linear Systems with Constrained Controls
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DOI：
10.1137/0318025
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发表时间：
2006-07
影响因子：
2.2
通讯作者：
W. Schmitendorf;B. Barmish
中科院分区：
文献类型：
--
作者：
W. Schmitendorf;B. Barmish
本文研究了当控制量受约束时，使线性时变系统的状态返回原点的问题。给出了全局约束能控性的充分必要条件，以及存在一个控制（满足约束）使系统从给定的初始历元$（x_0，t_0）$回到原点的充分必要条件.全局结果不要求零是控制集$\Omega $的内点，并且在$（x_0，t_0）$处的约束能控性定理只要求$\Omega $是紧的，而不要求它包含零。结果进行了比较，可在文献中。此外，数值方面的问题进行了讨论，是一种技术，用于确定转向控制。
The paper considers the problem of steering the state of a linear time-varying system to the origin when the control is subject to magnitude constraints. Necessary and sufficient conditions are given for global constrained controllability as well as a necessary and sufficient condition for the existence of a control (satisfying the constraints) which steers the system to the origin from a specified initial epoch $(x_0 ,t_0 )$. The global result does not require zero to be an interior point of the control set $\Omega $, and the theorem for constrained controllability at $(x_0 ,t_0 )$ only requires that $\Omega $ be compact, not that it contain zero. The results are compared to those available in the literature. Furthermore, numerical aspects of the problem are discussed as is a technique for determining a steering control.