Structural properties of linear discrete periodic systems based on fully actuated system approaches

IF 2.7 4区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Asian Journal of Control Pub Date : 2024-06-04 DOI:10.1002/asjc.3414

Lingling Lv, Zikai Li, Xinyang Liu

引用次数: 0

Abstract

In this paper, the structural properties of linear discrete-periodic systems are investigated using fully actuated system approaches and the related criteria are presented, with emphasis on the observability and controllability criteria based on fully actuated system approaches. Both the high-order fully measured and high-order fully actuated models of linear discrete periodic time-varying systems are constructed, and it is shown that a sufficient and necessary condition for the linear discrete periodic system to be observable (controllable) is that it can be equivalently transformed into a step-forward high-order fully measured (fully actuated) model and a step-backward high-order fully measured (fully actuated) model. Finally, a numerical example is offered to demonstrate the validity and feasibility of the approach.

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基于全驱动系统方法的线性离散周期系统的结构特性

本文利用全作用系统方法研究了线性离散周期系统的结构特性，并提出了相关准则，重点是基于全作用系统方法的可观测性和可控性准则。构建了线性离散周期时变系统的高阶全测量模型和高阶全激励模型，并证明了线性离散周期系统可观测（可控）的充分必要条件是它可以等效地转化为一个步进式高阶全测量（全激励）模型和一个步进式后退高阶全测量（全激励）模型。最后，我们提供了一个数值示例来证明该方法的有效性和可行性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Asian Journal of Control 工程技术-自动化与控制系统

CiteScore

4.80

自引率

25.00%

发文量

253

审稿时长

7.2 months

期刊介绍： The Asian Journal of Control, an Asian Control Association (ACA) and Chinese Automatic Control Society (CACS) affiliated journal, is the first international journal originating from the Asia Pacific region. The Asian Journal of Control publishes papers on original theoretical and practical research and developments in the areas of control, involving all facets of control theory and its application. Published six times a year, the Journal aims to be a key platform for control communities throughout the world. The Journal provides a forum where control researchers and practitioners can exchange knowledge and experiences on the latest advances in the control areas, and plays an educational role for students and experienced researchers in other disciplines interested in this continually growing field. The scope of the journal is extensive. Topics include: The theory and design of control systems and components, encompassing: Robust and distributed control using geometric, optimal, stochastic and nonlinear methods Game theory and state estimation Adaptive control, including neural networks, learning, parameter estimation and system fault detection Artificial intelligence, fuzzy and expert systems Hierarchical and man-machine systems All parts of systems engineering which consider the reliability of components and systems Emerging application areas, such as: Robotics Mechatronics Computers for computer-aided design, manufacturing, and control of various industrial processes Space vehicles and aircraft, ships, and traffic Biomedical systems National economies Power systems Agriculture Natural resources.