Technical Notes and Correspondence

2023; 21(6): 2080-2086

Published online May 4, 2023

https://doi.org/10.1007/s12555-021-0971-6

© The International Journal of Control, Automation, and Systems

Global Output Feedback Stabilization Control for Nonlinear Systems without Backstepping

Xiao Yan, Hongzheng Quan, and Fujin Jia*

Abstract

In this paper, we study the global output feedback stabilization (GOFS) of nonlinear systems with unknown functions (UFs). Firstly, a lemma is introduced to solve UFs, which avoids the shortcomings of the approximate algorithms. At the same time, this lemma avoids the assumptions of UFs, thus reducing the conservatism of the algorithms. Secondly, based on Lyapunov function analysis, the controller is designed, which solves the GOFS problem of the controlled system. This control algorithm adopts nonbackstepping, so it avoids the complicated calculation of backstepping. Finally, the control algorithm is applied to the Duffing system to verify its effectiveness.

Keywords Global stabilization, Lyapunov functions, nonlinear systems, output feedback.

Article

Technical Notes and Correspondence

2023; 21(6): 2080-2086

Published online June 1, 2023 https://doi.org/10.1007/s12555-021-0971-6

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

Global Output Feedback Stabilization Control for Nonlinear Systems without Backstepping

Xiao Yan, Hongzheng Quan, and Fujin Jia*

Abstract

In this paper, we study the global output feedback stabilization (GOFS) of nonlinear systems with unknown functions (UFs). Firstly, a lemma is introduced to solve UFs, which avoids the shortcomings of the approximate algorithms. At the same time, this lemma avoids the assumptions of UFs, thus reducing the conservatism of the algorithms. Secondly, based on Lyapunov function analysis, the controller is designed, which solves the GOFS problem of the controlled system. This control algorithm adopts nonbackstepping, so it avoids the complicated calculation of backstepping. Finally, the control algorithm is applied to the Duffing system to verify its effectiveness.

Keywords: Global stabilization, Lyapunov functions, nonlinear systems, output feedback.

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

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