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Insensitive and robust control design via output feedback eigenstructure assignment
Author(s) -
Liu G. P.,
Patton R. J.
Publication year - 2000
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 - 10.1002/1099-1239(20000730)10:9<687::aid-rnc496>3.0.co;2-1
Subject(s) - control theory (sociology) , unobservable , eigenvalues and eigenvectors , robustness (evolution) , parametric statistics , multivariable calculus , output feedback , closed loop , computer science , mathematics , control engineering , control (management) , engineering , artificial intelligence , biochemistry , chemistry , physics , statistics , quantum mechanics , econometrics , gene
Insensitive and robust control design using output‐feedback eigenstructure assignment for linear multivariable systems is considered in this paper. A parametric expression of closed‐loop eigenvectors and generalized eigenvectors is developed. It can cope with the case where the closed‐loop eigenvalues are multiple and/or the same as the open‐loop ones so that the system to be designed can be uncontrollable and/or unobservable. The controller designed via output‐feedback eigenstructure assignment is expressed by proposed parameter vectors. The freedom provided by output‐feedback eigenstructure assignment is used to optimize some performance functions which are used to measure the sensitivity of the closed‐loop matrix and the robustness of the closed‐loop system. Copyright © 2000 John Wiley & Sons, Ltd.