Geometric stabilization of discrete-time systems via dissipativity approach and output feedback control

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

Asian Journal of Control Pub Date : 2024-09-22 DOI:10.1002/asjc.3502

Xinyuan Wen, Fan Yang, Yuanhong Ren, Xuejie Bai

引用次数: 0

Abstract

Geometric stabilizability is studied for nonlinear discrete-time systems (DTS) utilizing linear static output feedback (SOF). Initially, a linear SOF controller is designed such that nonlinear DTS achieve geometric stabilizability. Utilizing the concept of geometric QSR-dissipativity (GQSR-D), a condition both sufficient and necessary is proffered to guarantee geometric stabilizability for nonlinear DTS. Subsequently, the necessary conditions of linear matrix inequality (LMI) are delineated to ascertain the stability of a system employing linear SOF. A new sufficient and necessary condition is provided aiming to stabilize the linear time-invariant (LTI) DTS based on GQSR-D. Lastly, examples are furnished to elucidate the efficacy of the results, thereby reinforcing their practical applicability.

查看原文本刊更多论文

基于耗散率方法和输出反馈控制的离散系统几何镇定

利用线性静态输出反馈研究了非线性离散系统的几何稳定性。首先，设计了一种线性sofc控制器，使非线性DTS具有几何稳定性。利用几何qsr耗散率（GQSR-D）的概念，给出了非线性DTS几何稳定的充分必要条件。然后，给出了线性矩阵不等式（LMI）的必要条件，以确定线性sofs系统的稳定性。针对基于GQSR-D的线性时不变（LTI） DTS稳定问题，给出了一个新的充要条件。最后，通过实例说明了所得结果的有效性，从而增强了所得结果的实际适用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.