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Title: | Accuracy Considerations of the Equivalent Linearization Technique for the Analysis of a Non-Linear Control System with a Gaussian Random Input |
Authors: | SAWARAGI, Yoshikazu SUGAI, Narinobu |
Issue Date: | 31-Aug-1961 |
Publisher: | Faculty of Engineering, Kyoto University |
Journal title: | Memoirs of the Faculty of Engineering, Kyoto University |
Volume: | 23 |
Issue: | 3 |
Start page: | 300 |
End page: | 319 |
Abstract: | In this paper, the accuracy of the results which can be obtained by the linearization technique of a non-linear control system with a Gaussian random input is investigated. Presence of non-linearity in the control system destroys the Gaussian nature of the response signals. In the linearization technique, therefore, assumption of the Gaussian input for the non-linear element is approximate. The accuracy analysis is restricted to consideration of the cumulants of the second and the fourth order of the input to the non-linear element. This results from the consideration that a linear element with a memory tends to make non-Gaussian signals more nearly Gaussian. A simple control system with a Gaussian input is analyzed as an example. It is concluded that the equivalent linearization technique is accurate enough for engineering purposes. |
URI: | http://hdl.handle.net/2433/280502 |
Appears in Collections: | Vol.23 Part 3 |

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