一类具有未知幂次的高阶不确定非线性系统的自适应控制

刘玉发; 刘勇华; 苏春翌; 鲁仁全

doi:10.16383/j.aas.c200893

一类具有未知幂次的高阶不确定非线性系统的自适应控制

doi: 10.16383/j.aas.c200893

刘玉发^{1, 2,},
刘勇华^{1, 2,},
苏春翌^{1, 2,},
鲁仁全^{1, 2,}

1.
广东工业大学自动化学院广州 510006
2.
广东省智能决策与协同控制重点实验室广州 510006

基金项目: 国家自然科学基金 (61803097, U2013601), 广东省特支计划本土创新创业团队项目基金(2019BT02X353)资助

详细信息

作者简介:
刘玉发：广东工业大学自动化学院硕士研究生. 主要研究方向为自适应控制. E-mail: yufa.liu@outlook.com

刘勇华：广东工业大学自动化学院副教授. 主要研究方向为非线性控制与智能控制. 本文通信作者. E-mail: yonghua.liu@outlook.com

苏春翌：广东工业大学自动化学院教授. 主要研究方向为控制理论及其在机电系统中的应用. E-mail: chunyi.su@concordia.ca

鲁仁全：广东工业大学自动化学院教授. 主要研究方向为网络化控制系统理论及应用, 医疗大数据分析, 智能制造. E-mail: rqlu@gdut.edu.cn

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出版历程
- 收稿日期: 2020-10-25
- 录用日期: 2021-04-16
- 网络出版日期: 2021-07-01
- 刊出日期: 2022-06-01

Adaptive Control for a Class of High-order Uncertain Nonlinear Systems With Unknown Powers

LIU Yu-Fa^{1, 2
,},
LIU Yong-Hua^{1, 2
,},
SU Chun-Yi^{1, 2
,},
LU Ren-Quan^{1, 2
,}

1.
School of Automation, Guangdong University of Technology, Guangzhou 510006
2.
Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangzhou 510006

Funds: Supported by National Natural Science Foundation of China (61803097, U2013601) and Local Innovative and Research Teams Project of Guangdong Special Support Program (2019BT02X353)

More Information

Author Bio:
LIU Yu-Fa　Master student at the School of Automation, Guangdong University of Technology. His main research interest is adaptive control

LIU Yong-Hua　Associate professor at the School of Automation, Guangdong University of Technology. His research interest covers nonlinear and intelligent control. Corresponding author of this paper

SU Chun-Yi　Professor at the School of Automation, Guangdong University of Technology. His research interest covers control theory and its applications to mechanical systems

LU Ren-Quan　Professor at the School of Automation, Guangdong University of Technology. His research interest covers theory and application of networked control system, medical big data analysis, and intelligent manufacturing

摘要

摘要: 研究了一类具有未知幂次的高阶不确定非线性系统的自适应跟踪控制问题. 在无需系统函数先验知识的条件下, 采用积分反推技术和障碍李雅普诺夫函数, 提出了一种新颖的自适应跟踪控制算法. 该控制算法的显著特点是所设计的自适应控制器均与系统幂次无关, 并且能够保证闭环系统的所有信号皆有界. 仿真算例验证了该控制算法的有效性.
- 高阶非线性系统 /
- 输出跟踪 /
- 自适应控制 /
- 障碍函数 /
- 未知幂次
Abstract: This paper studies the problem of adaptive output tracking for a class of high-order uncertain nonlinear systems with unknown powers. Without incorporating a priori information of system functions, a novel adaptive tracking control algorithm is proposed by combining integrator backstepping technique and barrier Lyapunov functions. The remarkable feature of the proposed algorithm is that the designed adaptive controller does not rely on the powers and ensures the global uniform boundedness of all the closed-loop signals. Simulation studies are stated to perform the effectiveness of the control algorithm.
- High-order nonlinear systems /
- output tracking /
- adaptive control /
- barrier function /
- unknown powers

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图 1 具有未知幂次的控制系统框图

Fig. 1 Block diagram of the control system with unknown powers

下载: 全尺寸图片幻灯片

图 2 系统$\Sigma_1$和$\Sigma_2$的输出跟踪误差$y-y_r$

Fig. 2 Output tracking errors $y-y_r$ of systems $\Sigma_1$ and $\Sigma_2$

下载: 全尺寸图片幻灯片

图 3 系统$\Sigma_1$和$\Sigma_2$的控制信号$u$

Fig. 3 Control signals $u$ of systems $\Sigma_1$ and $\Sigma_2$

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图 4 系统$\Sigma_1$和$\Sigma_2$的自适应参数$\hat{\vartheta}_1$和$\ \hat{\vartheta}_2$

Fig. 4 Adaptive parameters $\hat{\vartheta}_1$ and $\hat{\vartheta}_2$ of systems $\Sigma_1$ and $\Sigma_2$

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图 5 系统$\Sigma_1$在不同幂次下的跟踪误差$y-y_r$

Fig. 5 Output tracking errors $y-y_r$ of system $\Sigma_1$ under various powers

下载: 全尺寸图片幻灯片

图 6 系统$\Sigma_1$在不同幂次下的控制信号$u$

Fig. 6 Control signals $u$ of system $\Sigma_1$ under various powers

下载: 全尺寸图片幻灯片

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