Cantoni, MW and Glover, K (1997) H∞ sampled-data synthesis and related numerical issues. Automatica, 33. pp. 2233-2241. ISSN 0005-1098Full text not available from this repository.
In this paper we present a new, compact derivation of state-space formulae for the so-called discretisation-based solution of the H∞ sampled-data control problem. Our approach is based on the established technique of continuous time-lifting, which is used to isometrically map the continuous-time, linear, periodically time-varying, sampled-data problem to a discretetime, linear, time-invariant problem. State-space formulae are derived for the equivalent, discrete-time problem by solving a set of two-point, boundary-value problems. The formulae accommodate a direct feed-through term from the disturbance inputs to the controlled outputs of the original plant and are simple, requiring the computation of only a single matrix exponential. It is also shown that the resultant formulae can be easily re-structured to give a numerically robust algorithm for computing the state-space matrices. © 1997 Elsevier Science Ltd. All rights reserved.
|Uncontrolled Keywords:||H∞-synthesis Numerical issues Sampled-data systems|
|Divisions:||Div F > Control|
|Depositing User:||Cron Job|
|Date Deposited:||07 Mar 2014 11:31|
|Last Modified:||27 Nov 2014 19:23|