A New Approach to Popov Criterion for Stability Analysis of Nonlinear Control Systems

Abstract:

The Popov criterion for the stability of nonlinear control systems is considered. The Popov criterion gives sufficient conditions for stability of nonlinear systems in the frequency domain. It has a direct graphical interpretation and is convenient for both design and analysis. In the article presented, a table of transfer functions of linear parts of nonlinear systems is constructed. The tables includes frequency response functions and offers solutions to the stability of the given systems. The table makes a direct stability analysis of selected nonlinear systems possible. The stability analysis is solved analytically and graphically. Then it is easy to find out if the nonlinear system is or is not stable; the task that usually ranks among the difficult task in engineering practice.

• Periodical: Advanced Materials Research (Volumes 463-464)
• Pages: 1549-1552
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.463-464.1549
• Online since: February 2012
• Authors: Ivan Svarc
• Keywords: Global Asymptotic Stability (GAS), Modified Frequency Response, Popov Criterion

References

[1] I. Svarc, M. Seda and M. Viteckova: Automatic Control (Czech), CERM Brno, (2007).

[2] I. Svarc: Stability analysis of nonlinear control systems. In Proceedings OPTIROB, (2008).