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On Measuring Closed‐Loop Non‐Linearity: A Topological Approach
Author(s) -
Tan Guan Tien,
Huzmezan Mihai,
Kwok K. Ezra
Publication year - 2007
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450850411
Subject(s) - linearity , measure (data warehouse) , metric (unit) , loop (graph theory) , representation (politics) , closed loop , control theory (sociology) , operating point , range (aeronautics) , computer science , topology (electrical circuits) , work (physics) , point (geometry) , mathematics , control (management) , control engineering , engineering , artificial intelligence , electronic engineering , data mining , geometry , operations management , mechanical engineering , combinatorics , politics , law , political science , aerospace engineering
The focal point of this paper is to develop a measure of closed‐loop non‐linearity. In this work, the Vinnicombe metric and the Quasi‐Linear Parameter Varying representation of a non‐linear system are exploited for this purpose. It is expected that the proposed measure can serve as a decision making tool for control engineers when considering whether a linear or a non‐linear control strategy should be employed to close the loop for a non‐linear system operating in a prescribed range.