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

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ARTICLE DOWNLOAD

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

10$

Aleksey A. Kabanov 

Abstract

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).

Only units of this product remain
Year 2020
Language English
Format PDF
DOI 10.1007/s12555-019-0357-1