Work

Analysis of Discrete-Time Switched Linear Systems under Logic Dynamic Switchings

Year: 2022

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2211.12765

Authors: Zhang, Xiao, Meng, Min, Ji, Zhengping

Institutions: Chinese Academy of Sciences, National Center for Mathematics and Interdisciplinary Sciences, Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, China Postdoctoral Science Foundation

Awards: G1932839665, G3075916825, G3352161345, G3500081385, G4606321376

OpenAlex ID: W4309954062

Cites:

Cited by:

Related to: 10