Conference proceeding
Computation of the H∞ norm of a transfer function
1990 American Control Conference, pp 2578-2582
May 1990
Abstract
A new method for computing G ∞ , the H ∞ norm of a given transfer function G(s) is proposed. In this paper, we use the pole-zero diagram of G(s), the root locus concept, and the jω-axis transmission zeros of γ 2 I-G T (-s)G(s) to quickly locate a narrow frequency interval which brackets the supremum of [G(jω)]. Then Brent's method (an improved parabolic interpolation search method) is employed to find the maximum of [G(jω)] over the initial frequency bracket. The proposed approach is faster than the existing frequency search and ω bisection search methods since the initial frequency interval we obtain usually is quite small and the Brent's method in general is much faster than the bisection method.
Metrics
7 Record Views
1 citations in Scopus
Details
- Title
- Computation of the H∞ norm of a transfer function
- Creators
- B-C Chang - Drexel UniversityX.P Li - Drexel UniversityH. H Yeh - Wright-Patterson Air Force BaseS. S Banda - Wright-Patterson Air Force Base
- Publication Details
- 1990 American Control Conference, pp 2578-2582
- Publisher
- IEEE
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- Mechanical Engineering and Mechanics
- Scopus ID
- 2-s2.0-0025565386
- Other Identifier
- 991019205314504721