Suboptimal design of regulators for jump linear system with time-multiplied quadratic cost

Citation
Ek. Boukas et Zk. Liu, Suboptimal design of regulators for jump linear system with time-multiplied quadratic cost, IEEE AUTO C, 46(1), 2001, pp. 131-136
Citations number
14
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN journal
00189286 → ACNP
Volume
46
Issue
1
Year of publication
2001
Pages
131 - 136
Database
ISI
SICI code
0018-9286(200101)46:1<131:SDORFJ>2.0.ZU;2-W
Abstract
This note considers the suboptimal regulator design problem of jump linear system with time-multiplied performance index. The time-multiplied performa nce index is derived. A necessary condition for a control law with constant gain matrix to minimize the time-multiplied cost is established and a grad ient-based algorithm to find a suboptimal control law is developed. Some nu merical results are worked out to show the usefulness of the theoretical re sults.