- Garg, D.P. and Geisler, E.G., Limit cycle analysis for control systems of high order,
Int. J. Control (UK), vol. 17 no. 6
pp. 1225 - 32 .
(last updated on 2007/04/10)
A generalized method for the limit cycle analysis of a class of nth-order systems is proposed. The method utilizes the describing function technique and is applicable to dynamical systems with both memoryless and with memory non-linearities. The critical gain for self-sustained oscillations is found without explicitly solving the system characteristic equation. Relatively simple expressions are derived for the evaluation of limit cycle frequency. The results reduce to the conventional Routh equation for memoryless non-linearities. Application of the proposed method is demonstrated by several examples
describing functions;limit cycles;nonlinear systems;