Studying the transient process of an intermittent control system from its response property

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-23 DOI:10.1016/j.cnsns.2024.108309

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引用次数: 0

Abstract

As we all know, the output of a system is affected by its input and response properties. When the input switches, there must exist a transient process in the output and this transient process is different for different systems due to their different response properties and different dynamic process. However, the response property and dynamic process have rarely been studied in the obtained achievements about the transient process of an intermittent control system. The obtained achievements cannot agree with the real physical process and cannot be applied to study the transient process in engineering.

By introducing the unit step function and taking the intermittent input signal as a piecewise signal, we have studied the transient process. Our research shows that the transient process is related to the response characteristics, historical dynamic information, and control parameters, which agrees well with the real system and can be applied to analyze and optimize the transient process in engineering. Some examples in our paper verify our theoretical achievements.

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从响应特性研究间歇控制系统的瞬态过程

众所周知，系统的输出受其输入和响应特性的影响。当输入切换时，输出必然存在一个瞬态过程，而不同的系统由于其响应特性和动态过程不同，其瞬态过程也不同。然而，在已取得的有关间歇控制系统瞬态过程的成果中，很少对响应特性和动态过程进行研究。通过引入单位阶跃函数并将间歇输入信号作为片断信号，我们对瞬态过程进行了研究。我们的研究表明，瞬态过程与响应特性、历史动态信息和控制参数有关，与实际系统非常吻合，可用于分析和优化工程中的瞬态过程。论文中的一些实例验证了我们的理论成果。

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

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.