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Optimal digital redesign of continuous‐time systems using fractional‐order hold
Author(s) -
Sheen I. E.,
Tsai J. S. H.,
Shieh L. S.
Publication year - 1997
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/(sici)1099-1514(199711/12)18:6<399::aid-oca608>3.0.co;2-3
Subject(s) - computer science , digital control , control theory (sociology) , controller (irrigation) , order (exchange) , simple (philosophy) , quadratic equation , optimal control , control (management) , mathematical optimization , mathematics , electronic engineering , engineering , artificial intelligence , agronomy , philosophy , geometry , finance , epistemology , economics , biology
This paper proposes a novel optimal digital redesign technique using fractional‐order hold (f.o.h.) for finding a dynamic digital control law from the available analog counterpart and for simultaneously minimizing a quadratic performance index. A method for converting the dynamic digital control law into a static one, through a tuning parameter, is also presented. The proposed technique can be applied to a system cascaded with a more general class of reference inputs than simple step inputs, and the developed digital controller can be implemented via low cost microcomputers. The superiority of using the fractional‐order hold over the zero‐order hold and the first‐order hold is exploited. © 1997 John Wiley & Sons, Ltd.