6533b86efe1ef96bd12cbd6d

RESEARCH PRODUCT

Full- and reduced-order filter design for discrete-time T-S fuzzy systems with time-varying delay

Peng ShiHamid Reza KarimiXiaojie SuRongni YangLigang Wu

subject

Filter designDiscrete time and continuous timeControl theoryStability theoryConvex optimizationKalman filterFuzzy control systemFuzzy logicReduced orderMathematics

description

This paper is focused on the problem of ℋ ∞ filtering for a class of discrete-time T-S fuzzy time-varying delay systems. Our interest is how to design full- and reduced-order filters that guarantee the filtering error system to be asymptotically stable with a prescribed ℋ ∞ performance. Sufficient conditions for the obtained filtering error system are proposed by applying an input-output approach and a two-term approximation method, which is employed to approximate the time-varying delay. The corresponding full and reduced-order filter design is cast into a convex optimization problem, which can be efficiently solved by standard numerical algorithms.

yearjournalcountryeditionlanguage
2012-12-012012 IEEE 51st IEEE Conference on Decision and Control (CDC)
https://doi.org/10.1109/cdc.2012.6426784