6533b824fe1ef96bd12816d9

RESEARCH PRODUCT

Stability Analysis and Stabilization of T-S Fuzzy Delta Operator Systems with Time-Varying Delay via an Input-Output Approach

Guanghui SunJianbin QiuHamid Reza KarimiZhixiong Zhong

subject

Input/outputInterconnectionArticle SubjectGeneral MathematicsModel transformationlcsh:MathematicsVDP::Technology: 500General EngineeringStability (learning theory)Delta operatorlcsh:QA1-939Fuzzy logicVDP::Mathematics and natural science: 400::Mathematics: 410Domain (mathematical analysis)Control theorylcsh:TA1-2040Constant (mathematics)lcsh:Engineering (General). Civil engineering (General)computercomputer.programming_languageMathematics

description

Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/913234 Open Access The stability analysis and stabilization of Takagi-Sugeno (T-S) fuzzy delta operator systems with time-varying delay are investigated via an input-output approach. A model transformation method is employed to approximate the time-varying delay. The original system is transformed into a feedback interconnection form which has a forward subsystem with constant delays and a feedback one with uncertainties. By applying the scaled small gain (SSG) theorem to deal with this new system, and based on a Lyapunov Krasovskii functional (LKF) in delta operator domain, less conservative stability analysis and stabilization conditions are obtained. Numerical examples are provided to illustrate the advantages of the proposed method.

yearjournalcountryeditionlanguage
2013-01-01
https://doi.org/10.1155/2013/913234