On PID Control Theory for Nonaffine Uncertain Stochastic Systems
查看参考文献26篇
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文摘
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PID (proportional-integral-derivative) control is recognized to be the most widely and successfully employed control strategy by far.However,there are limited theoretical investigations explaining the rationale why PID can work so well when dealing with nonlinear uncertain systems.This paper continues the previous researches towards establishing a theoretical foundation of PID control,by studying the regulation problem of PID control for nonaffine uncertain nonlinear stochastic systems.To be specific,a three dimensional parameter set will be constructed explicitly based on some prior knowledge on bounds of partial derivatives of both the drift and diffusion terms.It will be shown that the closed-loop control system will achieve exponential stability in the mean square sense under PID control,whenever the controller parameters are chosen from the constructed parameter set.Moreover,similar results can also be obtained for PD (PI) control in some special cases.A numerical example will be provided to illustrate the theoretical results. |
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来源
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Journal of Systems Science and Complexity
,2023,36(1):165-186 【核心库】
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DOI
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10.1007/s11424-022-1486-9
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关键词
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Asymptotically regulation
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global stability
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nonaffine PID control
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stochastic systems
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uncertain structure
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地址
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1.
Academy of Mathematics and Systems Science,Chinese Academy of Sciences, Key Laboratory of Systems and Control,Chinese Academy of Sciences, Beijing, 100190
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School of Mathematical Science,University of Chinese Academy of Sciences, Beijing, 100049
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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1009-6124 |
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学科
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数学;自动化技术、计算机技术 |
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基金
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国家自然科学基金
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文献收藏号
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CSCD:7551070
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