自动化学报2024,Vol.50Issue(5) :937-946.DOI:10.16383/j.aas.c230701

时延非线性系统无模型预设性能控制

Model-free Prescribed Performance Control of Time-delay Nonlinear Systems

张晋熙 柴天佑 王良勇
自动化学报2024,Vol.50Issue(5) :937-946.DOI:10.16383/j.aas.c230701

时延非线性系统无模型预设性能控制

Model-free Prescribed Performance Control of Time-delay Nonlinear Systems

张晋熙 1柴天佑 1王良勇1
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作者信息

  • 1. 东北大学流程工业综合自动化国家重点实验室 沈阳 110819
  • 折叠

摘要

研究含有状态时延的严反馈非线性系统的跟踪控制问题,充分考虑时延的时变性和任意性以及系统的未知动力学特性.为解决该问题,取代参数辨识、函数逼近、增益调节、指令滤波等常规技术,提出基于导向函数的预设性能控制方法,移除了控制器设计对于系统非线性、控制方向和虚拟控制信号导数等信息的依赖.并且,摆脱基于李雅普诺夫-克拉索夫斯基泛函或拉祖米欣函数的稳定性分析框架,采用基于反证法的受限分析理论,移除性能分析对于已知的时延上界、部分已知的时延非线性函数和时延导数小于1等常见约束.因此,形成无模型、低复杂度、高性能控制方法,将跟踪误差限制于设计者预先选取的性能包络线内,确保系统输出以预先设定的速度和精度跟踪上时变的设定值.最后,以具有延迟回收流的两级化学反应器为对象开展对比仿真,实验结果验证了所提方法的有效性和优越性.

Abstract

This paper is concerned with the tracking control problem for time-delay strict-feedback nonlinear sys-tems,in which the time-varying arbitrary state delays and the completely unknown system dynamics are taken in-to full consideration.To address this problem,instead of parameter identification,function approximation,gain ad-aption and command filtering,an orientation function-based prescribed performance control approach is put for-ward.It eliminates the dependence of the control design on the system nonlinearities,the control directions and the virtual control signal derivatives.Moreover,in lieu of the stability analysis based on Lyapunov-Krasovskii function-als or Razumikhin functions,a framework for constraint analysis by contradiction is adopted.It excludes the com-monly adopted assumptions on the known bounds of time-delays,the partially known time-delay nonlinearities and the time-delay derivatives less than 1.Therefore,a model-free low-complexity high-performance control scheme is obtained,which confines the tracking error inside the predefined performance envelop.In this way,it is achieved that the system output tracks the time-varying reference with the prescribed rate and accuracy.Finally,a compar-ative simulation on the two-stage chemical reactor with delayed recycle streams is conducted,and the simulation results substantiate the effectiveness and the superiority of the proposed approach.

关键词

无模型控制/预设性能/参考跟踪/时延系统/非线性系统

Key words

Model-free control/prescribed performance/reference tracking/time-delay/nonlinear systems

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基金项目

国家自然科学基金(61991404)

国家自然科学基金(62103093)

国家重点研发计划(2022YFB3305905)

辽宁省"兴辽英才计划"项目(XLYC2203130)

辽宁省科技计划(2023-MS-087)

辽宁辽河实验室项目(LLL23ZZ-05-01)

高等学校学科创新引智计划(111计划)(B08015)

中央高校基本科研业务费专项(N2108003)

出版年

2024
自动化学报
中国自动化学会 中国科学院自动化研究所

自动化学报

CSTPCD北大核心
影响因子:1.762
ISSN:0254-4156
参考文献量2
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