CASPIAN JOURNAL
MANAGEMENT AND HIGH TECHNOLOGIES
Analysis of Nonlinear Automatic Control Systems Using the MATLAB Harmonic Balance Approach
 |
Read | Shapkarin Aleksey V., Prosandeev Anton V., Kullo Ivan G. Analysis of Nonlinear Automatic Control Systems Using the MATLAB Harmonic Balance Approach // Caspian journal : management and high technologies. — 2013. — №1. — pp. 77-85. |
Shapkarin Aleksey V. - Ph.D. (Engineering), Associate Professor, National Research Nuclear University “MEPhI”, 31 Kashirskoe Shosse, Moscow, 115409, Russian Federation, e-mail: prosandeev@bk.ru, kivan.mail@gmail.com
Prosandeev Anton V. - Senior Lecturer, National Research Nuclear University “MEPhI”, 31 Kashirskoe Shosse, Moscow, 115409, Russian Federation, e-mail: prosandeev@bk.ru, kivan.mail@gmail.com
Kullo Ivan G. - Senior Lecturer, National Research Nuclear University “MEPhI”, 31 Kashirskoe Shosse, Moscow, 115409, Russian Federation, e-mail: prosandeev@bk.ru, kivan.mail@gmail.com
The article provides details on a preliminary study of automatic control systems, using incomplete information (with constant parameters) about an object as well as a simplified linear model of that object. At this stage, the critique lists the capabilities of the built-in functions included in the MATLAB Control System Toolbox (CST) package. (MATLAB is a high-performance language for technical computing, which integrates computation, visualization, and programming in an easy-to-use environment). Subsequent design stages specify a model, which can be used, in most cases, to detect nonlinear components. But the latter capability implies that this tool is not intended for the analysis and design stages of linear systems. Consequently, to fill this ’knowledge shortfall,’ the non-linear system-related study relies on modeling-oriented approaches. For this task, the document states that harmonic linearization of nonlinear characteristics makes it possible to apply MATLAB tools. In conclusion, the blueprint adopts the perspective of the harmonic balance approach in analyzing the nonlinear dynamic systems’ CST package.
Key words: harmonic balance model,nonlinear dynamic systems,stability analysis,self-oscillations,MATLAB