DocumentCode :
1440976
Title :
Shift and delta operator realisations for digital controllers with finite word length considerations
Author :
Wu, Junyong ; Li, Guolin ; Istepanian, R.H. ; Chu, James
Author_Institution :
Inst. of Adv. Process Control, Zhejiang Univ., Hangzhou
Volume :
147
Issue :
6
fYear :
2000
fDate :
11/1/2000 12:00:00 AM
Firstpage :
664
Lastpage :
672
Abstract :
The implementation issues of digital controllers with finite word length (FWL) considerations are addressed. Both the shift and delta operator parametrisations of a general controller structure are considered. A unified formulation is adopted to derive a computationally tractable stability related measure that describes FWL closed-loop stability characteristics of different controller realisations. Within a given operator parametrisation, the optimal FWL controller realisation, which maximises the proposed stability related measure, is the solution of a nonlinear optimisation problem. The relationship between the z-operator and δ-operator controller parametrisations is analysed, and it is shown that the δ parametrisation has a better FWL closed-loop stability margin than the z-domain approach under a mild condition. A design example is included to verify the theoretical analysis and to illustrate the proposed optimisation procedure
Keywords :
closed loop systems; digital control; discrete time systems; matrix algebra; optimisation; stability; closed-loop system; delta operator; digital controllers; finite word length; matrix algebra; optimisation; shift operator; stability;
fLanguage :
English
Journal_Title :
Control Theory and Applications, IEE Proceedings -
Publisher :
iet
ISSN :
1350-2379
Type :
jour
DOI :
10.1049/ip-cta:20000750
Filename :
903460
Link To Document :
بازگشت