Abstract
It is known that jump resonance may occur in a nonlinear control system if the vector locus of linear part passes through a certain region which depends upon nonlinear part. This paper concerns with further investigations on the boundary curves of such regions. The authors consider the case of complex describing function which has not yet been treated. By normalizing the nonlinear characteristics, it is shown that there exists a limit boundary curve for nonlinear elements which satisfy certain conditions and that boundary curves of each nonlinear elements can easily be drawn on the inverse-vector-locus plane. For the analysis and synthesis based on the frequency response method, boundary curves redrawn on the gain-phase plane are also given.
The results obtained will conveniently be available as jump resonance critetia of nonlinear control systems. Some applications of them are also indicated.
