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Multi‐loop control synthesis for unstable systems and its application: An approach based on µ interaction measure
Author(s) -
Swarnakar Adarsha,
Marquez Horacio Jose,
Chen Tongwen
Publication year - 2009
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1402
Subject(s) - diagonal , control theory (sociology) , measure (data warehouse) , computer science , norm (philosophy) , loop (graph theory) , block (permutation group theory) , control system , controller (irrigation) , control engineering , control (management) , mathematics , engineering , agronomy , geometry , electrical engineering , combinatorics , database , artificial intelligence , political science , law , biology
This paper presents a new practical framework for multi‐loop controller design in which controllers are designed independently, i.e. a controller in one loop is designed without exploiting information of other controllers. The method is based on the (block) diagonal approximation of a system that is different from its (block) diagonal elements. The focus of this work is on unstable systems and the approximated systems are obtained by minimizing an upper bound of a scaled ℒ ∞ norm for the error systems. This extends the applicability of conventional µ‐interaction measure to a more general scenario. The proposed approach is applied to a numerical example and to a simulated industrial boiler system. Copyright © 2008 John Wiley & Sons, Ltd.