Title :
A weighted mixed-sensitivity H∞-control design for irrational transfer matrices
Author :
Curtain, Ruth F. ; Zhou, Yishao
Author_Institution :
Math. Inst., Groningen Univ., Netherlands
fDate :
9/1/1996 12:00:00 AM
Abstract :
Approximate solutions to a weighted mixed-sensitivity H∞-control problem for an irrational transfer matrix are obtained by solving the same problem for a reduced-order (rational) transfer matrix. Upper and lower bounds for the sensitivity are obtained in terms of the sensitivity for the reduced-order model and the approximation error. Moreover, rational suboptimal controllers for the irrational transfer matrix are constructed which achieve a sensitivity close to the minimum
Keywords :
H∞ control; approximation theory; reduced order systems; suboptimal control; transfer function matrices; approximation error; irrational transfer matrices; lower bounds; rational suboptimal controllers; reduced-order model; reduced-order transfer matrix; upper bounds; weighted mixed-sensitivity H∞-control design; Convergence of numerical methods; Frequency domain analysis; MIMO; Matrix decomposition; Optimal control; Pervasive computing; Reduced order systems; Riccati equations; Robust control; Writing;
Journal_Title :
Automatic Control, IEEE Transactions on
