Journal
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
Volume 8, Issue 4, Pages 741-747Publisher
INST CONTROL ROBOTICS & SYSTEMS, KOREAN INST ELECTRICAL ENGINEERS
DOI: 10.1007/s12555-010-0405-3
Keywords
L-2 - L-infinity performance; LMI; stochastic systems; time-delay
Categories
Funding
- National Natural Science Foundation of China [60772046, 60904031, 60974044]
- Natural Science Foundation of Guangdong Province [9451805707002681]
- Basic Research Plan in Shenzhen City [JC200903120195A]
- Science Research Fund for Young Teachers in Harbin University of Science and Technology [2008XQJZ021]
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The L-2 - L-infinity filtering problem for continuous-time polytopic uncertain stochastic time-delay systems is investigated. The main purpose is to design a full-order filter guaranteeing a prescribed L-2 - L-infinity level for the filtering error system. A simple alternative proof is given for an enhanced LMI (linear matrix inequality) representation of L-2 - L-infinity performance. Based on the criterion which keeps Lyapunov matrices out of the products of system dynamic matrices, a sufficient condition for the existence of a robust estimator is formulated in terms of LMIs. The corresponding filter design is cast into a convex optimization problem. A numerical example is employed to demonstrate the feasibility and advantage of the proposed design.
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