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Quantitative multivariable feedback design for a turbofan engine with forward path decoupling
Author(s) -
Boje Edward,
Nwokah Osita D. I.
Publication year - 1999
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/(sici)1099-1239(199910)9:12<857::aid-rnc438>3.0.co;2-k
Subject(s) - multivariable calculus , control theory (sociology) , decoupling (probability) , diagonal , quantitative feedback theory , controller (irrigation) , computer science , control system , control engineering , mathematics , engineering , robust control , control (management) , agronomy , geometry , electrical engineering , artificial intelligence , biology
A detailed quantitative feedback design example of robust control of a multivariable turbofan engine is presented. The Perron root of the so‐called interaction matrix is used as a measure of the level of triangularization of uncertain multivariable plants. This leads to a design approach where a decoupling pre‐compensator is used to reduce the level of interaction between loops before quantitative design of a diagonal feedback controller matrix is attempted. If the interaction index can be made less than unity by the design, stability of the diagonal loop designs guarantees stability of the closed‐loop multivariable system. The decoupling pre‐compensator is designed to be in the forward path, between the diagonal controller and the plant. For the design example presented, a simple, static pre‐compensator reduces interaction in the critical gain crossover frequency range. Careful design of the diagonal controller and pre‐filter result in an improved, lower‐order design than has been obtained previously using the quantitative Nyquist array approach. Copyright © 1999 John Wiley & Sons, Ltd.