Title :
Catastrophic jump phenomena in a nonlinear control system
Author :
Hirai, Kazumasa ; Iwai, Masataka ; Ushio, Toshimitsu
Author_Institution :
Kobe University, Kobe, Japan
fDate :
4/1/1981 12:00:00 AM
Abstract :
Catastrophic jump phenomena in a nonlinear control system when a sinusoidal input is applied is investigated by applying the catastrophe theory. The well-known jump resonance phenomenon in the frequency response can also be analyzed in the framework of this theory. Parameter regions for catastrophe for various types of nonlinear characteristics are shown.
Keywords :
Chaos; Jump parameter systems, nonlinear; Control systems; Frequency response; H infinity control; Low pass filters; Nonlinear control systems; Nonlinear filters; Power harmonic filters; Resonance; Systems engineering and theory; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1981.1102660
