A constructive approach to approximate linear periodic systems
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 541-546 |
| Journal / Publication | IEEE Transactions on Automatic Control |
| Volume | 52 |
| Issue number | 3 |
| Publication status | Published - Mar 2007 |
Link(s)
Abstract
In this note, the problem on approximating a linear periodic system with period N by a periodic model with period M(0 <M <N) is revisited. Different from the existing results, the proposed method is based on state-space representations and the approximation performance is evaluated using H-infinity norms. Under this framework, both finite impulse response (FIR) and infinite impulse response (IIR) periodic systems can be efficiently approximated by using a constructive linear matrix inequality approach. Finally, some numerical examples are given to illustrate the effectiveness of the proposed approach.
Research Area(s)
- approximation, finite-impulse response (FIR), infinite-impulse response (IIR), linear matrix inequality (LMI), periodic systems, DISCRETE-TIME-SYSTEMS, LIFTING APPROACH, MODEL-REDUCTION, VARYING SYSTEMS, LMI APPROACH, FILTERS, DECONVOLUTION, DESIGN
Citation Format(s)
A constructive approach to approximate linear periodic systems. / Liu, Huaping; Ho, Daniel W. C.; Sun, Fuchun.
In: IEEE Transactions on Automatic Control, Vol. 52, No. 3, 03.2007, p. 541-546.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
