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输入饱和情况下时滞不确定系统的鲁棒跟踪复合非线性反馈控制器设计

Robust tracking composite nonlinear feedback controller design for time-delay uncertain systems in the presence of input saturation.

作者信息

Ghaffari Valiollah, Mobayen Saleh, Ud Din Sami, Rojsiraphisal Thaned, Vu Mai The

机构信息

Department of Electrical Engineering, Persian Gulf University, Bushehr, Iran.

Department of Electrical Engineering, University of Zanjan, Zanjan, Iran; Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin 64002, Taiwan.

出版信息

ISA Trans. 2022 Oct;129(Pt B):88-99. doi: 10.1016/j.isatra.2022.02.029. Epub 2022 Feb 24.

Abstract

In this study, a robust control technique is investigated for the reference tracking of uncertain time-delayed systems in the existence of the actuator saturation. Due to emerging of some control complexities, as well as the input limitations, time-varying delay, uncertainty, and external disturbance, such a tracking goal would be realized through suitable design of the composite nonlinear feedback (CNF) controller. Thus, considering the mentioned limitations, a Lyapunov-based procedure is used to determine the control law. Then, the parameters of the CNF input are derived by using the solution of a linear matrix inequality (LMI) problem. The planned tracking idea is numerically implemented in two uncertain control systems. Some performance characteristics (i.e., the tracking error, boundedness, and transient responses) are compared with similar ones. Accordingly, the simulations illustrate the efficiency of the suggested control procedure over the existing CNF approaches.

摘要

在本研究中,针对存在执行器饱和的不确定时滞系统的参考跟踪问题,研究了一种鲁棒控制技术。由于出现了一些控制复杂性问题,以及输入限制、时变延迟、不确定性和外部干扰,需要通过合适地设计复合非线性反馈(CNF)控制器来实现这样的跟踪目标。因此,考虑到上述限制,采用基于李雅普诺夫的方法来确定控制律。然后,通过求解线性矩阵不等式(LMI)问题来推导CNF输入的参数。所规划的跟踪思想在两个不确定控制系统中进行了数值实现。将一些性能特性(即跟踪误差、有界性和瞬态响应)与类似特性进行了比较。相应地,仿真结果表明了所提出的控制方法相对于现有CNF方法的有效性。

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