Title :
Upper and lower bounds for approximation in the gap metric
Author :
Georgiou, Tryphon T. ; Smith, Malcolm C.
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
fDate :
6/1/1993 12:00:00 AM
Abstract :
Upper and lower bounds for the closest approximant of degree k <n in the gap metric to a plant of degree n are obtained. The bounds are expressed in terms of the singular values of two Hankel operators defined in terms of the symbol of the graph of the plant. The question of robust stability and performance of feedback systems is examined in the context of approximation of plant and controller in the gap metric
Keywords :
approximation theory; control system analysis; feedback; stability; Hankel operators; approximation; feedback systems; gap metric; lower bounds; robust stability; upper bounds; Circuit stability; Differential equations; Polynomials; Robustness; Stability criteria; Testing; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
