scholarly journals Computation of multiple limit cycles in nonlinear control systems – a describing function approach

2011 ◽  
Vol 3 (1) ◽  
pp. 21-28 ◽  
Author(s):  
Alexandre Garro Brito
Keyword(s):  
Nonlinear Control ◽  
Control Systems ◽  
Limit Cycles ◽  
Function Approach ◽  
Nonlinear Control Systems ◽  
Describing Function

Stabilität von Grenzschwingungen bei nichtlinearen Regelungssystemen mit zwei Nichtlinearitäten / Stability of limit-cycles in nonlinear control systems with two-nonlinearities

1974 ◽  
Vol 22 (10) ◽  
Author(s):  
L. Sebastian ◽  
Μ. Voicu
Keyword(s):  
Nonlinear Control ◽  
Control Systems ◽  
Limit Cycles ◽  
Nonlinear Control Systems ◽  
Wird Eine

In der Arbeit wird eine graphisch-analytisch anwendbare Methode aufgezeigt, die es ermöglicht, Aussagen über das Stabilitätsverhalten von Grenzschwingungen zu machen. Die auftretenden Grenzschwingungen selbst werden nach der Methode der harmonischen Balance [1] bestimmt

A Computer-Oriented, Parameter-Space Approach to the Synthesis of Nonlinear Control Systems

1971 ◽  
Vol 93 (2) ◽  
pp. 67-72 ◽  
Author(s):  
D. P. Garg
Keyword(s):  
Nonlinear Systems ◽  
Nonlinear Control ◽  
Control Systems ◽  
Parameter Space ◽  
Limit Cycles ◽  
Nonlinear Control Systems ◽  
Digital Computation ◽  
Synthesis Procedure ◽  
Systematic Synthesis ◽  
Space Approach

A systematic synthesis procedure is developed for ensuring an absence of limit cycles in nonlinear systems. Compensator parameter plots, subject to specified constraints, are generated in parameter planes. These plots can be combined to yield design surfaces. The proposed approach is oriented for digital computation but can be adapted easily to a paper and pencil equivalent. The procedure is illustrated by two design examples.

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