Switching between stabilizing controllers
Switching between stabilizing controllers
复制标题
DOI：
10.1016/s0005-1098(02)00139-5
复制
发表时间：
2002-11
期刊：
影响因子：
--
通讯作者：
J. Hespanha;A. Morse
中科院分区：
文献类型：
--
作者：
J. Hespanha;A. Morse
本文研究了几个线性时不变控制器（LTI）之间的切换问题，这些控制器都能稳定一个特定的LTI过程，从而保证了闭环系统对任何切换序列的稳定性。我们证明，对于任何给定的控制器传递矩阵族，无论我们如何在控制器之间切换，都可以找到使闭环系统保持稳定的实现。这个问题的动机是复杂系统的控制，其中冲突的需求使得单个LTI控制器不适合。
This paper deals with the problem of switching between several linear time-invariant (LTI) controllers—all of them capable of stabilizing a specific LTI process—in such a way that the stability of the closed-loop system is guaranteed for any switching sequence. We show that it is possible to find realizations for any given family of controller transfer matrices so that the closed-loop system remains stable, no matter how we switch among the controller. The motivation for this problem is the control of complex systems where conflicting requirements make a single LTI controller unsuitable.