DocumentCode :
358646
Title :
Closed-form expressions of discrete-time transfer-function responses and optimal choice of numerator coefficients (zeros)
Author :
Hauksdóttir, Anna Soffía
Author_Institution :
Dept. of Electr. & Comput. Eng., Iceland Univ., Reykjavik, Iceland
Volume :
4
fYear :
2000
fDate :
2000
Firstpage :
2438
Abstract :
General closed-form expressions of discrete-time transfer-function responses, valid for real as well as complex eigenvalues, are derived in this paper. The closed-form expressions include the numerator coefficients of the transfer function, a Vandermonde-like matrix and a vector containing the transfer-function eigenresponses, the latter two only depending on the eigenvalues. The closed-form expressions are used to calculate the numerator coefficients optimally, by minimizing the discrete pulse transient, the discrete step transient, the discrete ramp transient, etc. Simulations are presented, clearly demonstrating excellent transfer function response properties based on the optimal choices of the numerator coefficients
Keywords :
discrete time systems; eigenvalues and eigenfunctions; matrix algebra; optimal control; transfer functions; zero assignment; Vandermonde-like matrix; closed-form expressions; complex eigenvalues; discrete pulse transient minimization; discrete ramp transient; discrete step transient; discrete-time transfer-function responses; numerator coefficient optimization; optimal numerator coefficient choice; transfer function response properties; transfer-function eigenresponses; vector; zeros; Actuators; Closed-form solution; Control systems; Eigenvalues and eigenfunctions; Filters; Optimal control; Reduced order systems; Sensor systems; System identification; Transfer functions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
ISSN :
0743-1619
Print_ISBN :
0-7803-5519-9
Type :
conf
DOI :
10.1109/ACC.2000.878619
Filename :
878619
Link To Document :
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