Feedback Linearization of Nonlinear Singularly Perturbed Systems with State-dependent Coefficients

被引：0
作者：
Aleksey A. Kabanov
机构：
[1] Federal Research Center “Computer Science and Control” RAS,
[2] Sevastopol State University,undefined
来源：
International Journal of Control, Automation and Systems | 2020年 / 18卷
关键词：
Feedback linearization; similarity transformation; singular perturbation; state-dependent coefficients;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The article examines a feedback linearization (FL) problem for a nonlinear singular perturbed (SP) system in a state-dependent coefficients form (SDC-form). The combination of the composite control technique of singular perturbation theory and a canonical similarity transformation approach for systems in a SDC-form are explored in this research. As a result, two FL problems for a fast state variables subsystem and a slow state variables subsystem are solved separately. The transformation matrix and feedback linearizing control for the entire nonlinear SP system are designed as a composition of solutions of these two FL problems. The composite stabilizing controller, based on feedback linearization and a pole placement method, is proposed for a nonlinear SP system in a SDC-form. Practical implementation of the proposed feedback linearizing composite stabilizing control is shown through an example (an inverted pendulum, controlled by a direct current motor).
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页码：1743 / 1750
页数：7
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