具有有限时间输出约束的切换非线性时滞系统的多维泰勒网自适应控制
作者:
作者单位:

青岛科技大学

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中图分类号:

TP273

基金项目:

山东省高等学校科技计划项目; 青岛市源头创新计划项目


Adaptive Multi-dimensional Taylor Network Control for Switched Time-Delay Systems with Finite-Time Output Constraints
Author:
Affiliation:

Qingdao University of Science and Technology

Fund Project:

Science and technology program of universities of Shandong Province; Qingdao source innovation project

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    摘要:

    本文研究了一类具有有限时间输出约束的切换非线性时滞系统的控制器设计问题。为了在有限时间将输出跟踪误差限制在预定边界内,引入了一种改进的有限时间性能函数(FTPF)。在控制器的设计过程中,利用障碍Lyapunov函数来解决输出约束问题。然后,将多维泰勒网(MTN)的逼近特性和自适应反步技术相结合,提出了一种新的自适应MTN 控制方法。在该方法中,通过设计了Lyapunov-Krasovskii 泛函,使得在存在时滞的情况下,仍然能够保证切换系统的稳定性。最后,通过仿真实例说明了本文设计方案的有效性和实用性。

    Abstract:

    In this paper, the problem of controller design for a class of switched nonlinear time-delay systems with finitetime output constraints is studied. In order to limit the output tracking error to a predetermined boundary in finite time, an improved performance function, finite time performance function (FTPF), is introduced. In the process of controller design, barrier Lyapunov function is used to solve the problem of output constraint. Then, a new adaptive MTN control method is proposed by combining the universal approximation property of multi-dimensional Taylor network (MTN) with adaptive backstepping technology. In this method, Lyapunov-Krasovskii functionals are designed to ensure the stability of the switched system in the presence of time-delay. Finally, two simulation examples are given to illustrate the effectiveness and practicability of the design scheme.

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历史
  • 收稿日期:2020-07-19
  • 最后修改日期:2020-12-17
  • 录用日期:2021-01-08
  • 在线发布日期: 2021-02-04
  • 出版日期: