Hankel model reduction without balancing-A descriptor approach
- 1 December 1987
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 112-117
- https://doi.org/10.1109/cdc.1987.272701
Abstract
A basis-free descriptor system representation is shown to facilitate the computation of all minimum-degree and optimal kth order all-pass extensions and Hankel-norm approximates. The descriptor representation has the same simple form for both the optimal and for the suboptimal minimunl degree cases. The method eliminates the need for the potentially ill-conditioned calculation of a minimal balanced, or partially balanced, realization of the system to be reduced. A simple, numerically sound method based on singular-value decomposition enables the results to be expressed in state-space form. A listing of PC-MATLAB code which implements the algorithm can be found in authors' program LINF. Author(s) Safonov, M.G. University of Southern California, Los Angeles, CA Chiang, R.Y. ; Limebeer, D.J.N.Keywords
This publication has 11 references indexed in Scilit:
- Optimal Hankel norm model reductions and Wiener-Hopf factorization II: The non-canonical caseIntegral Equations and Operator Theory, 1987
- Synthesis of positive real multivariable feedback systemsInternational Journal of Control, 1987
- Optimal Hankel Norm Model Reductions and Wiener–Hopf Factorization I: The Canonical CaseSIAM Journal on Control and Optimization, 1987
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†International Journal of Control, 1984
- Propagation of conic model uncertainty in hierarchical systemsIEEE Transactions on Automatic Control, 1983
- Model reduction via balanced state space representationsIEEE Transactions on Automatic Control, 1982
- Optimal Hankel-norm model reductions: Multivariable systemsIEEE Transactions on Automatic Control, 1981
- Principal component analysis in linear systems: Controllability, observability, and model reductionIEEE Transactions on Automatic Control, 1981
- Optimal approximation of continuous-time systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1980
- ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEMMathematics of the USSR-Sbornik, 1971