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