Stability analysis and stabilization of T-S fuzzy delta operator systems with time-varying delay via an input-output approach
Journal article, Peer reviewed
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Original versionZhong, Z., Sun, G., Karimi, H. R., & Qiu, J. (2013). Stability analysis and stabilization of T-S fuzzy delta operator systems with time-varying delay via an input-output approach. Mathematical Problems in Engineering, 1-14. doi: 10.1155/2013/913234 10.1155/2013/913234
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.
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