Title :
Effect of loop delay on phase margin of first-order and second-order control loops
Author :
Bergmans, Jan W M
Author_Institution :
Eindhoven Univ. of Technol., Netherlands
Abstract :
This paper analyzes the phase margin of first-order and second-order control loops in the presence of a loop delay and establishes rules of thumb on the maximum permissible delay for a given phase margin. Both discrete-time and continuous-time loops are considered. Results are applicable, for example, to adaptive filters and to first-order and second-order phase-locked loops.
Keywords :
continuous time systems; delay lock loops; delays; discrete time systems; phase locked loops; PLL; adaptive filters; continuous-time loops; discrete-time loops; first-order control loops; loop delay; phase margin; phase-locked loop; second-order control loops; Adaptive control; Automatic control; Delay effects; Gain control; Open loop systems; Phase locked loops; Programmable control; Sampling methods; Stability; Thumb; Adaptive filter; control loop; loop delay; phase margin; phase-locked loop (PLL);
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2005.852003
