Title :
Settling time analysis of third order systems
Author :
Marques, A. ; Geerts, Y. ; Steyaert, M. ; Sansen, W.
Author_Institution :
ESAT, Katholieke Univ., Leuven, Heverlee, Belgium
Abstract :
Several operational transconductance amplifiers often have a third order transfer function. The use of these amplifiers for several applications, such as in switched-capacitor circuits requires the minimization of the settling time to a step response. This problem is studied in this work. First, the closed loop transfer function of a system with an the open loop 3rd order transfer function is obtained, and a mapping from the closed loop parameters to the open loop parameters is derived. Second, the closed loop step response is deduced. Third, the dynamic settling error is studied based on numerical simulations. The described procedure can be used to find the optimal location for the open loop poles and zeros that minimizes the settling time for a specific amplifier structure
Keywords :
network analysis; operational amplifiers; poles and zeros; step response; transfer functions; closed loop transfer function; dynamic settling error; numerical simulation; open loop poles and zeros; open loop transfer function; operational transconductance amplifiers; optimal location; settling time analysis; step response; third order systems; third order transfer function; Equations; Feedback loop; Frequency; Minimization; Numerical simulation; Operational amplifiers; Poles and zeros; Switched capacitor circuits; Transconductance; Transfer functions;
Conference_Titel :
Electronics, Circuits and Systems, 1998 IEEE International Conference on
Conference_Location :
Lisboa
Print_ISBN :
0-7803-5008-1
DOI :
10.1109/ICECS.1998.814931