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Eigenstructure assignment with control gains optimization
Author(s) -
Zhang Qiang,
Slater G. L.
Publication year - 1990
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660110203
Subject(s) - eigenvalues and eigenvectors , control theory (sociology) , minification , set (abstract data type) , controller (irrigation) , vibration , matrix (chemical analysis) , control (management) , mathematics , computer science , vibration control , mathematical optimization , artificial intelligence , physics , materials science , quantum mechanics , agronomy , composite material , biology , programming language
Eigenstructure assignment using output feedback is reformulated using an auxiliary principle of minimization of control effort. In the general eigenstructure assignment procedure, the feedback gain matrix is uniquely determined for a set of explicitly specified desired eigenvalues and eigenvectors. However, for the controller design proposed in this paper, only the most necessary constraints are imposed on the desired eigenvalues and eigenvectors, and the unspecified model parameters of the closed‐loop system are determined by minimizing the control effort. Numerical examples are presented for comparison of the proposed method with standard eigenstructure assignment methods, and an experimental example gives an insight into the feasibility of the proposed control algorithm with application to the vibration control of flexible structures undergoing forced vibration.