Title :
Yet another H∞ discretization
Author :
Mirkin, Leonid ; Tadmor, Gilead
Author_Institution :
Fac. of Mech. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
fDate :
5/1/2003 12:00:00 AM
Abstract :
A new approach to the conversion of the sampled-data H∞ problem to an equivalent pure discrete-time, lumped-variables counterpart, is presented. The approach is independent of controller causality constraints. In particular, it is applicable to problems, such as preview tracking and fixed-lag smoothing, where existing reduction methods fail. We demonstrate this by presenting a way to solve the open problem no. 51 from the book Open Problems in Mathematical Systems and Control Theory.
Keywords :
H∞ control; H∞ optimisation; discrete time systems; predictive control; sampled data systems; smoothing methods; tracking; transfer function matrices; H∞ control; H∞ discretization; H∞ optimisation; discrete-time systems; fixed-lag smoothing; lifting technique; preview tracking; sampled-data system; tracking; transfer matrix; Digital filters; Discrete transforms; Feeds; Mechanical engineering; Sampling methods; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.811275
