Global Prescribed-Time Stabilization of High-Order Nonlinear Systems with Asymmetric Actuator Dead-Zone

Xin Guo, Hejun Yao and Fangzheng Gao
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Xin Guo: School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China
Hejun Yao: School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China
Fangzheng Gao: School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China

Mathematics, 2022, vol. 10, issue 12, 1-15

Abstract: This paper is concerned with the global prescribed-time stabilization problem for a class of uncertain high-order nonlinear systems (HONSs) with an asymmetric actuator dead-zone. Firstly, a new state-scaling transformation (SST) is developed for high-order nonlinear systems to change the original prescribed-time stabilization into the finite-time stabilization of the transformed one. The defects of the conventional one introduced in Song et al. (2017), which is unable to ensure the closed-loop stability behind a prespecified convergence time and a closed-loop system, which is only driven to the neighborhood of destination, is successfully overcome by introducing a switching mechanism in our proposed SST. Then, by using the adding a power integrator (API) technique, a state feedback controller is explicitly constructed to achieve the requirements of the closed-loop prescribed time convergence. Lastly, a liquid-level system is utilized to validate the theoretical results.

Keywords: high-order nonlinear systems (HONSs); asymmetric actuator dead-zone; state-scaling transformation (SST); prescribed-time stabilization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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