随机扰动下具有反馈控制协议的线性定常系统的鲁棒性

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

Asian Journal of Control Pub Date : 2024-10-07 DOI:10.1002/asjc.3513

Shifan Wen, Wanpeng Zhang, Wenxiang Fang

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引用次数: 0

摘要

本文研究了具有反馈控制协议的全局指数稳定（ES）线性时不变（LTI）系统在随机干扰（rd）影响下的鲁棒性。对于给定的具有全局ES的LTI系统，分别提出了一种状态反馈（SF）控制协议和一种输出反馈（OF）控制协议来保持系统的鲁棒性。同时，通过超越方程得到LTI系统所能承受的rd强度，并通过提出的迭代算法设计和计算反馈增益。理论分析结果表明，当RDs小于本文给出的上界时，扰动LTI系统可以保持ES。最后，通过三个案例说明了理论研究的有效性。

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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Robustness of linear time-invariant systems with feedback control protocols under random disturbances

In this paper, the robustness of global exponentially stable (ES) linear time-invariant (LTI) systems with feedback control protocols is examined under the influence of random disturbances (RDs). For a given LTI system with global ES, a state feedback (SF) control protocol and a output feedback (OF) control protocol are proposed to keep the robustness of the discussed system, respectively. Meanwhile, how much the intensity of RDs that LTI system can withstand is obtained by the transcendental equation, in which the feedback gains are also designed and calculated by a proposed iterative algorithm. The theoretical analysis results demonstrate that the perturbed LTI systems may remain ES when the RDs are smaller than the upper bounds obtained in this paper. Finally, three cases are proposed to illustrate the effectiveness of the theoretical research.

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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.