| タイトル | Sinusoidal input describing function for hysteresis followed by elementary backlash |
| 著者（英） | Ringland, R. F. |
| 著者所属（英） | Systems Technology, Inc. |
| 発行日 | 1976-04-01 |
| 言語 | eng |
| 内容記述 | The author proposes a new sinusoidal input describing function which accounts for the serial combination of hysteresis followed by elementary backlash in a single nonlinear element. The output of the hysteresis element drives the elementary backlash element. Various analytical forms of the describing function are given, depending on the a/A ratio, where a is the half width of the hysteresis band or backlash gap, and A is the amplitude of the assumed input sinusoid, and on the value of the parameter representing the fraction of a attributed to the backlash characteristic. The negative inverse describing function is plotted on a gain-phase plot, and it is seen that a relatively small amount of backlash leads to domination of the backlash character in the describing function. The extent of the region of the gain-phase plane covered by the describing function is such as to guarantee some form of limit cycle behavior in most closed-loop systems. |
| NASA分類 | CYBERNETICS |
| レポートNO | 76A29521 |
| 権利 | Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/443394 |
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