不对称时变状态约束下非线性系统自适应有限时间事件触发控制

魏岩; 罗均; 严怀成; 王曰英

doi:10.1631/FITEE.2000692

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不对称时变状态约束下非线性系统自适应有限时间事件触发控制

常规文章 | Updated：2022-05-20

- 不对称时变状态约束下非线性系统自适应有限时间事件触发控制
- Event-triggered adaptive finite-time control for nonlinear systems under asymmetric time-varying state constraints
- 信息与电子工程前沿（英文） 2021年22卷第12期页码：1610-1624
- Affiliations：
  
  1.School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai200240, China
  2.School of Mechatronic Engineering and Automation, Shanghai University, Shanghai200444, China
  3.School of Information Science and Engineering, East China University of Science and Technology, Shanghai200237, China
- Author bio：
  
  ‡Corresponding author
- Funds：
  
  National Natural Science Foundation of China(61973204;61703275)
- DOI：10.1631/FITEE.2000692
  中图分类号： TP13
- 收稿：2020-12-11，
  
  修回：2021-09-02，
  
  录用：2021-03-22，
  
  网络出版：2021-11-03，
  
  纸质出版：2021-12-0
- Accepted：
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魏岩, 罗均, 严怀成, 等. 不对称时变状态约束下非线性系统自适应有限时间事件触发控制[J]. 信息与电子工程前沿（英文）, 2021,22(12):1610-1624.

Yan WEI, Jun LUO, Huaicheng YAN, et al. Event-triggered adaptive finite-time control for nonlinear systems under asymmetric time-varying state constraints[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(12): 1610-1624.
魏岩, 罗均, 严怀成, 等. 不对称时变状态约束下非线性系统自适应有限时间事件触发控制[J]. 信息与电子工程前沿（英文）, 2021,22(12):1610-1624. DOI： 10.1631/FITEE.2000692.

Yan WEI, Jun LUO, Huaicheng YAN, et al. Event-triggered adaptive finite-time control for nonlinear systems under asymmetric time-varying state constraints[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(12): 1610-1624. DOI： 10.1631/FITEE.2000692.

摘要

研究了状态约束下多输入多输出不确定非线性系统的自适应有限时间事件触发控制问题。为防止系统状态违反非对称时变约束，建立tan型非线性映射函数，将所考虑的系统转化为等价无约束系统。在虚拟控制信号中引入光滑切换函数，以避免传统有限时间动态面控制方法在零附近的奇异现象。同时，采用模糊逻辑系统补偿未知非线性函数。引入合适的事件触发机制确定何时控制律更新。利用李雅普诺夫稳定性理论分析，证明闭环系统是半全局最终有限时间稳定的，且不违反状态约束。最后，通过仿真实例验证了所设计控制方法的有效性。

Abstract

This paper investigates the issue of event-triggered adaptive finite-time state-constrained control for multi-input multi-output uncertain nonlinear systems. To prevent asymmetric time-varying state constraints from being violated

a tan-type nonlinear mapping is established to transform the considered system into an equivalent "non-constrained" system. By employing a smooth switch function in the virtual control signals

the singularity in the traditional finite-time dynamic surface control can be avoided. Fuzzy logic systems are used to compensate for the unknown functions. A suitable event-triggering rule is introduced to determine when to transmit the control laws. Through Lyapunov analysis

the closed-loop system is proved to be semi-globally practical finite-time stable

and the state constraints are never violated. Simulations are provided to evaluate the effectiveness of the proposed approach.

关键词

Keywords

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