H-infinity Sampled-Data Synthesis and Related Numerical Issues.
Cantoni M. W. and Glover K.
Automatica, Volume 33, Pages 2233-2241, 1997
Also available as a Technical Report: CUED/F-INFENG/TR.261
Abstract
In this paper we present a new, compact derivation of state-space formulae for the so-called discretisation-based solution of the H-infinity 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 discrete-time, 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.
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BibTex Entry
- @Article{,
- author = {Cantoni M. W. and Glover K.},
- journal = {Automatica},
- title = {H-infinity Sampled-Data Synthesis and Related Numerical Issues. },
- year = {1997},
- note = {Also available as a Technical Report: CUED/F-INFENG/TR.261},
- pages = {2233-2241},
- volume = {33}
- }
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