DocumentCode
2181011
Title
Almost global stability of phase-locked loops
Author
Rantzer, Anders
Author_Institution
Dept. of Autom. Control, Lund Inst. of Technol., Sweden
Volume
1
fYear
2001
fDate
2001
Firstpage
899
Abstract
Many control systems have a global dynamical behavior that in addition to a desired stable equilibrium has one or more unstable equilibria or other exceptional trajectories. Typical examples of such systems are pendulums or so called phase locked loops. The objective of the paper is to compare two different methods for analysis of the global behavior in such systems. The first method is LaSalle´s invariant set theorem (1967). The second method is the criterion for almost global stability introduced by the author (2001)
Keywords
asymptotic stability; invariance; phase locked loops; set theory; LaSalle invariant set theorem; almost global stability; asymptotic stability; global behavior; global dynamical behavior; phase-locked loops; stable equilibrium; unstable equilibria; Automatic control; Control systems; Equations; Feedback loop; Filters; Lyapunov method; Phase locked loops; Servosystems; Stability; Voltage-controlled oscillators;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location
Orlando, FL
Print_ISBN
0-7803-7061-9
Type
conf
DOI
10.1109/.2001.980221
Filename
980221
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