Title
Quadratic Optimal Control through Spectral and Coprime Factorisation
Abstract
We study the infinite horizon quadratic cost minimisation problem for a linear time-invariant distributed parameter system with finitely many inputs and outputs. We work in an input/output framework, and reduce the unstable case to the stable case by the use of a right coprime factorisation of the impulse response and a preliminary stabilising feedback. The stable case is then solved through spectral factorisation. The theory is illustrated with two examples involving pure time delays.
Year
DOI
Venue
1999
10.1016/S0947-3580(99)70150-0
European Journal of Control
Keywords
Field
DocType
Input delay,Spectral factorisation,Transmission line,Wiener-Hopf factorisation
Impulse response,Optimal control,Linear system,Control theory,Quadratic equation,Control engineering,Minimisation (psychology),Distributed parameter system,Factorization,Coprime integers,Mathematics
Journal
Volume
Issue
ISSN
5
1
0947-3580
Citations 
PageRank 
References 
0
0.34
6
Authors
1
Name
Order
Citations
PageRank
Olof J. Staffans16615.08