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Paper details
Number 2 - June 1999
Volume 9 - 1999
Structural formulation and self-oscillation prediction in multidimensional nonlinear closed-loop autonomous systems
Kartik C. Patra, Bibhuti B. Pati, Adam Łozowicki
Abstract
This paper describes the structure of a general two-dimensional nonlinear closed-loop system and application of the universal chart, leading to the use of computer graphics, for a systematic analysis of the complex problem of predicting selfoscillations
(limit cycles). The graphical approach provides an explicit and novel insight into the conditions for the occurrence of limit cycles in such systems. This technique forms the basis of computer algorithms for predicting limit cycles in multidimensional nonlinear systems. Application of the technique has been illustrated through examples and comparison of results with digital simulation in MATLAB 4.0/SIMULINK 1.3.
Keywords
universal chart, phasor diagram, limit cycles, multidimensional, nonlinear system, describing function