In this section
@article{Kiskiras:2013:10.1007/s00498-012-0097-8,
author = {Kiskiras, J and Jaimoukha, IM and Halikias, GD},
doi = {10.1007/s00498-012-0097-8},
journal = {Mathematics of Control, Signals and Systems (MCSS)},
pages = {167--196},
title = {An explicit state-space solution to the one-block super-optimal distance problem},
url = {http://dx.doi.org/10.1007/s00498-012-0097-8},
volume = {25},
year = {2013}
}
TY - JOUR
AB - An explicit state-space approach is presented for solving the super-optimal Nehari-extension problem. The approach is based on the all-pass dilation technique developed in [JL93] which offers considerable advantages compared to traditional methods relying on a diagonalisation procedure via a Schmidt pair of the Hankel operator associated with the problem. As a result, all derivations presented in this work rely only on simple linear-algebraic arguments. Further, when the simple structure of the one-block problem is taken into account, this approach leads to a detailed and complete state-space analysis which clearly illustrates the structure of the optimal solution and allows for the removal of all technical assumptions (minimality, multiplicity of largest Hankel singular value, positive-definiteness of the solutions of certain Riccati equations) made in previous work [LHG89],[HLG93]. The advantages of the approach are illustrated with a numerical example. Finally, the paper presents a short survey of super-optimization, the various techniques developed for its solution and some of its applications in the area of modern robust control.
AU - Kiskiras,J
AU - Jaimoukha,IM
AU - Halikias,GD
DO - 10.1007/s00498-012-0097-8
EP - 196
PY - 2013///
SP - 167
TI - An explicit state-space solution to the one-block super-optimal distance problem
T2 - Mathematics of Control, Signals and Systems (MCSS)
UR - http://dx.doi.org/10.1007/s00498-012-0097-8
UR - http://hdl.handle.net/10044/1/15308
VL - 25
ER -