scholarly journals A circle criterion for strong integral input-to-state stability

Automatica ◽  
2020 ◽  
Vol 111 ◽  
pp. 108641
Author(s):  
Chris Guiver ◽  
Hartmut Logemann
Keyword(s):  
Circle Criterion

scholarly journals Phase Margins in a Class of Nonlinear Systems: Lyapunov, Circle Criterion and Describing Function Approaches

2020 ◽  
Vol 53 (2) ◽  
pp. 6274-6280
Author(s):  
Siddharth S. Das ◽  
Yuri Shtessel ◽  
Franck Plestan
Keyword(s):  
Nonlinear Systems ◽  
Describing Function ◽  
Circle Criterion

Stability analysis of the simplest t-s fuzzy control system using the off-axis circle criterion

2010 ◽  
Author(s):  
Xianlin Huang ◽  
Kairui Cao ◽  
Xiaojun Ban ◽  
X. Z. Gao
Keyword(s):  
Control System ◽  
Stability Analysis ◽  
Fuzzy Control ◽  
Fuzzy Control System ◽  
Circle Criterion

scholarly journals General Inertia and Circle Criterion

PAMM ◽  
2006 ◽  
Vol 6 (1) ◽  
pp. 845-846
Author(s):  
Selim Solmaz ◽  
Oliver Mason ◽  
Robert Shorten
Keyword(s):  
Circle Criterion

Distributed Control of Rotating Stall in an Axial Flow Compressor With Actuator Constraints

2000 ◽  
Author(s):  
Craig A. Buhr ◽  
Matthew A. Franchek ◽  
Sanford Fleeter
Keyword(s):  
Absolute Stability ◽  
Closed Loop ◽  
Axial Flow ◽  
Gain Control ◽  
Rotating Stall ◽  
Control Law ◽  
Circle Criterion ◽  
Axial Flow Compressor ◽  
Flow Compressor ◽  
Stall Control

Abstract Presented in this paper is an analytical study evaluating the closed loop stability of rotating stall control in an axial flow compressor subject to a nonlinear spatial actuation constraint that limits the amplitude of a spatial mode input. Absolute stability of the rotating stall control system is investigated by applying the circle criterion to a linearized model of an axial compressor in series with the saturation element. This stability analysis is then used to design the gain and phase of the ‘classical’ complex gain feedback control law. Resulting is a systematic method for designing the parameters of the complex gain control law which increases the region of absolute stability guaranteed by the circle criterion for the closed-loop system.

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