Title :
Some computational results on size reduction in H∞ design
Author :
Postlethwaite, I. ; Gu, D.W. ; O´Young, S.D.
Author_Institution :
Res. Sch. of Phys. Sci., Australian Nat. Univ., Canberra, ACT, Australia
fDate :
2/1/1988 12:00:00 AM
Abstract :
The authors explore the properties of the algebraic Riccati equation. New results on the rank of the solution to the algebraic Riccati equation are obtained and lead to an efficient algorithm for reducing the size of the antistable transfer function matrix in the model-matching problem. In the 1-block problem, the method is taken further to obtain explicit formulas for a minimal realization of the matrix. The approach is direct and numerically reliable as it is based almost entirely on orthogonal transformations
Keywords :
control theory; matrix algebra; optimisation; H∞ design; algebraic Riccati equation; antistable transfer function matrix; efficient algorithm; model-matching; optimisation; orthogonal transformations; size reduction; Algorithm design and analysis; Control systems; Design methodology; H infinity control; Optimal control; Reliability theory; Riccati equations; Size control; Transfer functions; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
