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具有输入饱和的切换非线性系统的事件触发输出反馈控制

Event-Triggered Output Feedback Control of Switched Nonlinear Systems With Input Saturation.

作者信息

Li Hanfeng, Zhang Xianfu, Feng Gang

出版信息

IEEE Trans Cybern. 2021 May;51(5):2319-2326. doi: 10.1109/TCYB.2020.2965142. Epub 2021 Apr 15.

Abstract

This article is concerned with the event-triggered output feedback control problem for a class of switched nonlinear strict-feedback systems subject to asymmetric input saturation. The nonlinear terms are assumed to be bounded by a continuous function of the output multiplied by unmeasured states. The hyperbolic tangent function is employed to process the error caused by the event-triggered scheme, and an indicator function of the saturation degree is used to analyze the influence generated by the asymmetric input saturation. By adopting the common Lyapunov function method and the dynamic gain control design approach, a new design procedure based on a reduced-order observer is proposed to construct an output feedback controller. It is proved by the Lyapunov analysis that the proposed event-triggered control scheme can ensure that all the signals of the closed-loop system are globally bounded. Furthermore, the output can be converged to a bounded region around the origin, and this region can be tuned to be small by adjusting the design parameters. Different from typical existing results on the switched nonlinear strict-feedback systems, the celebrated backstepping method is not employed in this article. The continuous stirred tank reactor is finally used to demonstrate the effectiveness of the proposed control scheme.

摘要

本文研究了一类具有非对称输入饱和的切换非线性严格反馈系统的事件触发输出反馈控制问题。假设非线性项由输出的连续函数乘以未测量状态来界定。采用双曲正切函数处理事件触发方案引起的误差,并使用饱和程度指示函数分析非对称输入饱和产生的影响。通过采用公共Lyapunov函数方法和动态增益控制设计方法,提出了一种基于降阶观测器的新设计过程来构造输出反馈控制器。通过Lyapunov分析证明,所提出的事件触发控制方案可以确保闭环系统的所有信号全局有界。此外,输出可以收敛到原点周围的一个有界区域,并且可以通过调整设计参数将该区域调整得很小。与切换非线性严格反馈系统的典型现有结果不同,本文未采用著名的反步法。最后使用连续搅拌釜式反应器来证明所提出控制方案的有效性。

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