An analytic method for finding the closed-loop frequency response of nonlinear feedback-control systems

1957 ◽  
Vol 76 (5) ◽  
pp. 277-285
Author(s):  
Katsuhiko Ogata
Keyword(s):  
Feedback Control ◽  
Frequency Response ◽  
Control Systems ◽  
Closed Loop ◽  
Analytic Method ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Feedback Control Systems

The Frequency Responses and Jump-Resonance Phenomena of Nonlinear Feedback Control Systems

1963 ◽  
Vol 85 (2) ◽  
pp. 236-242 ◽  
Author(s):  
H. Hatanaka
Keyword(s):  
Feedback Control ◽  
Control Systems ◽  
Amplitude Ratio ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Frequency Responses ◽  
Input Amplitude ◽  
Resonance Phenomena ◽  
Feedback Control Systems ◽  
System Variables

A method is presented for analyzing the frequency responses and jump-resonance phenomena of nonlinear feedback control systems of any order. The nonlinearities treated in this paper are those whose outputs are single-valued odd functins of the inputs and are independent of frequencies of the inputs. The general conditions under which jump-resonance occurs are given and the system with saturation nonlinearity is analyzed fully as an example. The essential objective is to express the contours on the complex plane for the constant values of system variables, e.g., input amplitude, amplitude ratio, and phase shift.

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