Direct state space solution of multirate sampled-data H-2 optimal control

Authors
Citation
L. Qiu et K. Tan, Direct state space solution of multirate sampled-data H-2 optimal control, AUTOMATICA, 34(11), 1998, pp. 1431-1437
Citations number
20
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
AUTOMATICA
ISSN journal
00051098 → ACNP
Volume
34
Issue
11
Year of publication
1998
Pages
1431 - 1437
Database
ISI
SICI code
0005-1098(199811)34:11<1431:DSSSOM>2.0.ZU;2-J
Abstract
In serving the multirate sampled-data H-2 control problem using the lifting approach, one needs to solve a constraint discrete-time H-2 optimal contro l problem for a generalized plant with infinite dimensional input/output sp aces. To solve this problem, the existing sampled-data H-2 design technique computes an equivalent finite dimensional discrete-time system and then de signs the optimal H-2 controller for the equivalent system. In this paper, we will show that this problem can be solved using state space formulas by dealing with operators directly. The operator compositions are computed exp licitly using discrete multirate lifting and matrix exponentials. The advan tages of the direct method are: it is straightforward, it has clear physica l meanings, and it is more efficient computationally. A sufficient conditio n for the existence and uniqueness of multirate sampled-data H-2 optimal co ntroller is given in terms of the continuous-time plant. (C) 1998 Elsevier Science Ltd. All rights reserved.