Dynamic harmonic balance and its application to analysis of convergence of second-order sliding mode control algorithms

Author

Boiko, I.M.

Author_Institution

Univ. of Calgary, Calgary, AB, Canada

fYear

2011

fDate

June 29 2011-July 1 2011

Firstpage

208

Lastpage

213

Abstract

The harmonic balance (HB) principle is extended to transient processes and named the dynamic HB. Based on the dynamic HB, first the differential equations for the amplitude and frequency of the self-excited oscillations in the Lure system in the vicinity of the periodic solution are derived. It is then applied to analysis of motions in the vicinity of the origin of the complex plane for systems with second-order sliding mode control algorithms, therefore, describing the process of convergence of state variables in the system. An example is provided.

Keywords

differential equations; harmonic analysis; oscillations; periodic control; transient analysis; variable structure systems; Lure system; complex plane; complex system; convergence process; differential equation; dynamic harmonic balance; harmonic balance principle; periodic solution; second-order sliding mode control algorithm; self excited oscillation; state variable; transient process; Convergence; Equations; Harmonic analysis; Heuristic algorithms; Oscillators; Transfer functions; Transient analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2011

Conference_Location

San Francisco, CA

ISSN

0743-1619

Print_ISBN

978-1-4577-0080-4

Type

conf

DOI

10.1109/ACC.2011.5990613

Filename

5990613