Premium
LQ control of rectangular descriptor systems: Numerical algorithm and existence results
Author(s) -
Stefanovski Jovan
Publication year - 2010
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.950
Subject(s) - controllability , observability , impulse (physics) , mathematics , control theory (sociology) , algorithm , impulse control , control (management) , computer science , artificial intelligence , psychology , physics , quantum mechanics , psychotherapist
Abstract We present a structure‐preserving numerical algorithm, based on using orthogonal matrices, and sufficient conditions for LQ control of rectangular descriptor systems. The sufficient conditions are quite general: stabilizability, impulse controllability, generalizations of detectability and impulse observability. The solution in the case of wide descriptor system differs from the solution of tall descriptor system. Copyright © 2010 John Wiley & Sons, Ltd.