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Finite Word Length Implementation for Digital Reduced Order Observer Based Controllers
Author(s) -
Wu J.,
Chu J.,
Chen S.,
Li G.
Publication year - 2001
Publication title -
developments in chemical engineering and mineral processing
Language(s) - English
Resource type - Journals
eISSN - 1932-2143
pISSN - 0969-1855
DOI - 10.1002/apj.5500090206
Subject(s) - word length , realization (probability) , observer (physics) , measure (data warehouse) , stability (learning theory) , word (group theory) , control theory (sociology) , digital control , nonlinear system , simplex , mathematics , controller (irrigation) , simplex algorithm , mathematical optimization , computer science , linear programming , control (management) , engineering , artificial intelligence , electronic engineering , agronomy , statistics , physics , geometry , quantum mechanics , database , machine learning , natural language processing , biology
Implementation issues for digital reduced‐order observer‐based controllers with Finite Word Length (FWL) considerations is studied. A tractable FWL stability related measure is derived, and the optimal FWL realization problem for digital reduced‐order obverser‐based controller is to find those realizations that maximize this related measure. This optimization problem is formulated as an unconstrained nonlinear programming problem which can be solved using the simplex search algorithm. A numerical example is given to illustrate the design procedure and the effectiveness of the proposed method.