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

Zhixiong Zhong, Guanghui Sun, Hamid Reza Karimi and Jianbin Qiu

Mathematical Problems in Engineering, 2013, vol. 2013, 1-14

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:913234

DOI: 10.1155/2013/913234

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