Title :
Controller design for distributed systems based on Hankel-norm approximations
Author :
Curtain, R.F. ; Glover, K.
Author_Institution :
Australian National University, Canberra, Australia
fDate :
2/1/1986 12:00:00 AM
Abstract :
A procedure for obtaining a finite-dimensional reduced-order model for a class of distributed systems is developed. It is based on a combination of a modal approximation and an optimal Hankel-norm approximation and the approximation error can be accurately predicted. The reduced-order model can be used to design a precompensator for the original system as its performance and robust stability characteristics can be deduced from the reduced-order model and finitely many modal parameters. The procedure is applied to a parabolic system.
Keywords :
Distributed-parameter systems, linear; Hankel transforms; Reduced-order systems, linear; Aircraft; Approximation error; Control systems; Distributed control; Eigenvalues and eigenfunctions; Reduced order systems; Robust stability; Space heating; Temperature control; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1986.1104223