论文标题
分析逻辑动态切换下离散时间切换线性系统
Analysis of Discrete-Time Switched Linear Systems under Logic Dynamic Switchings
论文作者
论文摘要
使用半音程产品（STP）方法研究了带有由逻辑动态系统生成的开关信号的离散时间开关线性系统（SLS）的控制属性。使用代数状态空间表示（ASSR），线性模式和逻辑发生器被汇总为混合系统，从而导致SLS的可及性，可控性，可观察性和可重建性的标准。给出了用于检查这些属性的算法。然后，有关逻辑动态系统是否可以生成所需的切换信号的两种实现问题，并相对于固定的操作时间切换和有限参考信号切换的情况，给出了所需切换信号的实际条件。
The control properties of discrete-time switched linear systems (SLS) with switching signals generated by logical dynamic systems are studied using the semi-tensor product (STP) approach. With the algebraic state space representation (ASSR), the linear modes and the logical generators are aggregated as a hybrid system, leading to the criteria of reachability, controllability, observability, and reconstructibility of the SLSs. Algorithms for checking these properties are given. Then, two kinds of realization problems concerning whether the logical dynamic systems can generate the desired switching signals are investigated, and necessary and sufficient conditions for the realisability of the required switching signals are given with respect to the cases of fixed operating time switching and finite reference signal switching.
