Automatica ( IF 4.8 ) Pub Date : 2021-04-15 , DOI: 10.1016/j.automatica.2021.109617 Yan Zhu , Zhendong Sun
In this work, we address the feedback stabilization problem for discrete-time reversible switched linear control systems. We focus on the question “how many state feedback gain matrices are needed for an th order system with subsystems?” We prove that is an upper bound for the question. For completely controllable systems, a constructive design scheme is developed to steer any initial state to the origin within steps. When the controllability is incomplete, we prove that the system is stabilizable iff the uncontrollable sub-mode is stabilizable, and propose a mixed time-driven and state-driven switching law to stabilize both the controllable sub-mode and the uncontrollable sub-mode simultaneously.
中文翻译:
离散时间可逆开关线性控制系统的稳定设计:无差拍控制方法
在这项工作中,我们解决了离散时间可逆开关线性控制系统的反馈稳定问题。我们关注的问题是“一个天线需要多少个状态反馈增益矩阵具有的第阶系统 子系统?” 我们证明是该问题的上限。对于完全可控的系统,开发了一种建设性的设计方案以将任何初始状态引向原点。脚步。当可控性不完全时,我们证明了系统是可稳定的,前提是不可控子模式是可稳定的,并提出了混合时间驱动和状态驱动的切换定律,以同时稳定可控子模式和不可控子模式。 。