An Analysis of the Pole-Zero Cancellations in $H^\infty $-Optimal Control Problems of the First Kind
Open Access
- 1 November 1987
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 25 (6) , 1457-1493
- https://doi.org/10.1137/0325081
Abstract
The aim of this paper is to study the pole-zero cancellations which occur in a class of H∞-optimal control problems which may be embedded in certain generalized regulator configuration. A general bound on the McMillan degree of all controllers which are stabilizing and lead to a closed loop which satisfies conditions on the transfer function is derived.published_or_final_versioKeywords
This publication has 21 references indexed in Scilit:
- Linear Control Theory with an ${\bf H}_\infty $ Optimality CriterionSIAM Journal on Control and Optimization, 1987
- Robust stabilization of linear multivariable systems: relations to approximationInternational Journal of Control, 1986
- An H∞-minimax approach to the design of robust control systemsSystems & Control Letters, 1984
- Optimal disturbance reduction in linear multivariable systemsIEEE Transactions on Automatic Control, 1984
- H∞-optimal feedback controllers for linear multivariable systemsIEEE Transactions on Automatic Control, 1984
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†International Journal of Control, 1984
- On H∞-optimal sensitivity theory for SISO feedback systemsIEEE Transactions on Automatic Control, 1984
- A new set of invariants for linear systems--Application to reduced order compensator designIEEE Transactions on Automatic Control, 1983
- Analysis of feedback systems with structured uncertaintiesIEE Proceedings D Control Theory and Applications, 1982
- Feedback system design: The fractional representation approach to analysis and synthesisIEEE Transactions on Automatic Control, 1980