Premium
Robust partial pole‐placement via gradient flow
Author(s) -
Lam James,
Tam Hei Ka
Publication year - 1997
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/(sici)1099-1514(199709/10)18:5<371::aid-oca610>3.0.co;2-y
Subject(s) - differentiable function , singularity , balanced flow , eigenvalues and eigenvectors , convergence (economics) , matrix (chemical analysis) , mathematics , mathematical optimization , flow (mathematics) , computer science , algorithm , mathematical analysis , geometry , physics , materials science , quantum mechanics , economics , composite material , economic growth
This paper provides a computational procedure for the robust partial pole‐placement problem. The algorithm is based on a gradient flow formulation on a differentiable potential function which provides a minimizing solution for the Frobenius condition number of the closed‐loop state matrix. The algorithm faces no singularity problem with the resulting eigenvector matrix. Convergence properties of the algorithm are discussed. A numerical example is employed to illustrate the technique and comparison to other existing methods is made. © 1977 John Wiley & Sons, Ltd.