Regular Papers

International Journal of Control, Automation and Systems 2022; 20(5): 1428-1438

Published online April 21, 2022

https://doi.org/10.1007/s12555-021-0221-y

© The International Journal of Control, Automation, and Systems

Observer-based Finite-time Adaptive Prescribed Performance Control for Nonlinear Systems with Input Delay

Xiaojing Qi, Wenhui Liu*, and Junwei Lu

Nanjing Normal University

Abstract

In this article, the observer-based adaptive finite-time prescribed performance control issue is studied for a category of nonlinear systems with external disturbances and input delay. The fuzzy logic systems are employed to model the unknown nonlinear terms in the system. The Pade approximation method is utilized to deal with the input delay problem. To estimate the unmeasurable states in the system, a fuzzy state observer is established. By using the finite-time Lyapunov control theory and the backstepping technique, a finite-time adaptive fuzzy controller is designed. The controller can guarantee that the tracking error converges to a prescribed region in a finite time and the boundedness of all signals in the closed-loop system. Finally, a simulation example is included to verify the validity and feasibility of the control method.

Keywords Backstepping, finite-time tracking control, fuzzy logic systems, input delay, prescribed performance.

Article

Regular Papers

International Journal of Control, Automation and Systems 2022; 20(5): 1428-1438

Published online May 1, 2022 https://doi.org/10.1007/s12555-021-0221-y

Copyright © The International Journal of Control, Automation, and Systems.

Observer-based Finite-time Adaptive Prescribed Performance Control for Nonlinear Systems with Input Delay

Xiaojing Qi, Wenhui Liu*, and Junwei Lu

Nanjing Normal University

Abstract

In this article, the observer-based adaptive finite-time prescribed performance control issue is studied for a category of nonlinear systems with external disturbances and input delay. The fuzzy logic systems are employed to model the unknown nonlinear terms in the system. The Pade approximation method is utilized to deal with the input delay problem. To estimate the unmeasurable states in the system, a fuzzy state observer is established. By using the finite-time Lyapunov control theory and the backstepping technique, a finite-time adaptive fuzzy controller is designed. The controller can guarantee that the tracking error converges to a prescribed region in a finite time and the boundedness of all signals in the closed-loop system. Finally, a simulation example is included to verify the validity and feasibility of the control method.

Keywords: Backstepping, finite-time tracking control, fuzzy logic systems, input delay, prescribed performance.

IJCAS
March 2025

Vol. 23, No. 3, pp. 683~972

Stats or Metrics

Share this article on

  • line

Related articles in IJCAS

IJCAS

eISSN 2005-4092
pISSN 1598-6446