4.5 Article

Fixed-time linear quadratic adaptive sliding mode control for a class of cart-pendulum robots

期刊

OPTIMAL CONTROL APPLICATIONS & METHODS
卷 43, 期 6, 页码 1735-1752

出版社

WILEY
DOI: 10.1002/oca.2923

关键词

adaptive sliding mode control; cart-pendulum robots; fixed-time control; path-following LQ control

资金

  1. National Natural Science Foundation of China [62173193, 61773149, 92067108, 61772309]
  2. Key R&D Project of Shandong Province [2019GSF109112]
  3. Science and Technology Plan for Young Talents in Colleges and Universities of Shandong Province [2020KJN007]
  4. Scientific Research Studio in Colleges and Universities of Ji'nan City [2021GXRC092]

向作者/读者索取更多资源

This article focuses on the fixed-time path-following control problem of a perturbed cart-pendulum robot with linear quadratic (LQ) performance optimization. Adaptive anti-perturbation sliding mode control schemes and an adaptive radial basis function neural network-based sliding mode control algorithm are developed to handle the path-following LQ control problem. Fixed-time stability and path-following results are achieved using Lyapunov stability theory.
This article is concerned with the fixed-time path-following control problem of a perturbed cart-pendulum robot with linear quadratic (LQ) performance optimization. In order to ensure the displacements of cart and pendulum of the robot following the desired paths within fixed-time, adaptive anti-perturbation sliding mode control schemes with a novel fixed-time sliding mode surface are developed to withstand the adverse influence of perturbations. Furthermore, an adaptive radial basis function neural network (RBFNN)-based sliding mode control algorithm is employed to approximate the continuous perturbations, so that the path-following LQ control problem can be further dealt with. The fixed-time stability and path-following results of the cart-pendulum robotic system are achieved by Lyapunov stability theory. A simulation example for a heavy material handling agricultural robot is proposed to verify the effectiveness of the developed method.

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