Title :
Almost global stability of phase-locked loops
Author_Institution :
Dept. of Autom. Control, Lund Inst. of Technol., Sweden
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;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980221
