Limit cycle analysis for control systems of high order
Publication
, Journal Article
Garg, DP; Geisler, EG
Published in: Int. J. Control (UK)
1973
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
Duke Scholars
Published In
Int. J. Control (UK)
Publication Date
1973
Volume
17
Issue
6
Start / End Page
1225 / 1232
Related Subject Headings
- Industrial Engineering & Automation
- 4901 Applied mathematics
- 0913 Mechanical Engineering
- 0906 Electrical and Electronic Engineering
- 0102 Applied Mathematics
Citation
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Garg, D. P., & Geisler, E. G. (1973). Limit cycle analysis for control systems of high order. Int. J. Control (UK), 17(6), 1225–1232.
Garg, D. P., and E. G. Geisler. “Limit cycle analysis for control systems of high order.” Int. J. Control (UK) 17, no. 6 (1973): 1225–32.
Garg DP, Geisler EG. Limit cycle analysis for control systems of high order. Int J Control (UK). 1973;17(6):1225–32.
Garg, D. P., and E. G. Geisler. “Limit cycle analysis for control systems of high order.” Int. J. Control (UK), vol. 17, no. 6, 1973, pp. 1225–32.
Garg DP, Geisler EG. Limit cycle analysis for control systems of high order. Int J Control (UK). 1973;17(6):1225–1232.
Published In
Int. J. Control (UK)
Publication Date
1973
Volume
17
Issue
6
Start / End Page
1225 / 1232
Related Subject Headings
- Industrial Engineering & Automation
- 4901 Applied mathematics
- 0913 Mechanical Engineering
- 0906 Electrical and Electronic Engineering
- 0102 Applied Mathematics