Absolute Stability of Nonlinear Control Systems

2008 ◽  
Author(s):  
Xiaoxin Liao ◽  
Pei Yu
Keyword(s):  
Nonlinear Control ◽  
Control Systems ◽  
Absolute Stability ◽  
Nonlinear Control Systems

scholarly journals On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Andriy Shatyrko ◽  
Denys Khusainov
Keyword(s):  
Differential Equations ◽  
Nonlinear Control ◽  
Control Systems ◽  
Absolute Stability ◽  
Neutral Type ◽  
Sufficient Conditions ◽  
Functional Method ◽  
Nonlinear Control Systems ◽  
Delay Argument ◽  
Equations With Delay

Sufficient conditions of interval absolute stability of nonlinear control systems described in terms of systems of the ordinary differential equations with delay argument and also neutral type are obtained. The Lyapunov-Krasovskii functional method in the form of the sum of a quadratic component and integrals from nonlinearity is used at construction of statements.

A Synthesis Technique for Nonlinear Control Systems Using a Frequency Domain Stability Criterion

1970 ◽  
Vol 92 (2) ◽  
pp. 348-354 ◽  
Author(s):  
Devendra P. Garg ◽  
David Auslander ◽  
M. J. Rabins
Keyword(s):  
Nonlinear Control ◽  
Frequency Domain ◽  
Control Systems ◽  
Absolute Stability ◽  
Design Tool ◽  
Nonlinear Control Systems ◽  
Frequency Scale ◽  
Frequency Domain Techniques ◽  
Logarithmic Gain ◽  
System Controller

This paper deals with a design approach to the synthesis of controllers for nonlinear control systems. The method proposed herein uses the frequency domain circle condition as a sufficiency criterion for insuring absolute stability. While the theory involved is well known, its application as a design tool has not yet been fully appreciated. A major aim of this paper is to indicate means of employing this new theory by use of classical frequency-domain techniques. The circle of nonlinearity from the Nyquist plane is transferred as a region onto the logarithmic gain-phase versus frequency plane using a simple transformation. A system controller or compensator can now be designed, straightforwardly without trial and error, by using the explicit frequency scale. Parameter combinations for system controllers yielding absolute stability can be obtained in a parameter plane or parameter space depending upon compensator configuration. The entire procedure is digital computer oriented but can be accomplished by paper and pencil techniques. Several numerical examples, along with hybrid computer corroboration, illustrate the procedure.

scholarly journals Parametric Absolute Stability of Nonlinear Control Systems

1994 ◽  
Vol 7 (7) ◽  
pp. 255-264 ◽  
Author(s):  
Teruyo WADA ◽  
Masao IKEDA ◽  
Yuzo OHTA ◽  
Dragoslav D. ŠILJAK
Keyword(s):  
Nonlinear Control ◽  
Control Systems ◽  
Absolute Stability ◽  
Nonlinear Control Systems
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