New relations between norms of system transfer functions
(2011) Systems & Control Letters — Vol. 60, n° 3, p. 151-155 (2011)
Files
MG-P88.pdf
Restricted Access - Adobe PDF
- 627.72 KB
Details
- Authors
- Abstract
- It is well-known that the H2-norm and H-norm of a transfer function can differ arbitrarily since both norms reflect fundamentally different properties. However, if the pole structure of the transfer function is known it is possible to bound the H-norm from above by a constant multiple of the H2-norm. It is desirable to compute this constant as tightly as possible. In this article we derive a tight bound for the H-norm given knowledge of the H2-norm and the poles of a transfer function. We compute the bound in closed form for multiple input multiple output transfer functions in continuous and discrete time. Furthermore we derive a general procedure to compute the bound given a weighted L2-norm.
- Affiliations
Australian National University Research School of Information Sciences & Engineering
Citations
Ivanov, T., Anderson, B. D. O., Absil, P.-A., & Gevers, M. (2011). New relations between norms of system transfer functions. Systems & Control Letters, 60(3), 151-155. https://doi.org/10.1016/j.sysconle.2010.10.008 (Original work published 2011)