6533b858fe1ef96bd12b6d44

RESEARCH PRODUCT

D-stability for discrete-time t-s fuzzy descriptor systems with multiple delays

Hamid Reza KarimiLigang WuPeng ShiFanbiao Li

subject

Stability of linear systemsDescriptor systemsFuzzy systemsFuzzy control systemstability of linear systemsFuzzy logicDelay systems; Fuzzy systems; Stability of linear systems; Electrical and Electronic EngineeringDiscrete time and continuous timeControl theoryfuzzy systemsFuzzy numberFuzzy associative matrixElectrical and Electronic EngineeringAlgorithmdealy systemsD stabilityDelay systemsMathematics

description

In this work, the D-stability problem is considered for a class of discrete-time Takagi-Sugeno (T-S) fuzzy descriptor systems with multiple state delays. In terms of linear matrix inequality, sufficient conditions are proposed to ensure that all poles of the descriptor T-S fuzzy system are located within a disk contained in the unit circle. Moreover, a sufficient condition is presented such that the singular system is regular, causal and D-stable in spite of multiple state delays. Finally, an example is given to show the effectiveness and advantages of the proposed techniques Refereed/Peer-reviewed

https://doi.org/10.1109/acc.2014.6858742