An Investigation of Nonlinear System Performance on the Parameter Plane
Pellegrini, Charles A.
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Control systems containing two nonlinear elements are separated into three broad classes which are dependent upon the location of an initial signal excitation with respect to the two nonlinear elements. The nonlinear elements are considered as the "< and Q variables of the parameter plane which defines the region containing the roots of the system characteristic equation. A "dynamic describing function" curve, which determines the locus of the M or operating point for initial condition input signals, is plotted on the parameter plane. Additionally, the transient response is graphically determined for conditions of second order dominance. The theoretical results are compared with actual analog computer simulation.
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