Premium
A quantitative feedback solution to the multivariable tracking error problem
Author(s) -
Elso Jorge,
GilMartinez Montserrat,
GarciaSanz Mario
Publication year - 2013
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.2991
Subject(s) - multivariable calculus , control theory (sociology) , benchmark (surveying) , mimo , controller (irrigation) , tracking error , computer science , scope (computer science) , matrix (chemical analysis) , control (management) , mathematical optimization , control engineering , mathematics , engineering , artificial intelligence , computer network , agronomy , channel (broadcasting) , materials science , geodesy , composite material , biology , programming language , geography
SUMMARY This paper introduces a novel solution for the multi‐input multi‐output (MIMO) quantitative feedback theory control design problem with tracking error specifications. Looking for a minimum controller overdesign, the technique finds new controller quantitative feedback theory bounds based on necessary and sufficient conditions for the existence of suitable associated prefilter matrix elements. It improves previous approaches to the subject and includes (i) the possibility of a free selection of the nominal plant, (ii) a less conservative application of the Schwartz inequality to decisively reduce the potential controller overdesign, (iii) a methodology to design independently the elements of the prefilter matrix, and (iv) a scope of application to both sequential and nonsequential MIMO controller design methods. The benefits of the new control design technique are illustrated by means of two examples. The first one, a standard 2 × 2 MIMO problem, is provided for comparison purposes with previous approaches. The second example, included as a major control challenge, deals with a well‐known demanding distillation column benchmark problem. Copyright © 2013 John Wiley & Sons, Ltd.