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On reachable set bounding for delayed discrete-time Takagi-Sugeno fuzzy systems

Conference Paper


Abstract


  • The purpose of this paper to study the reachable set bounding problem for discrete-time Takagi-Sugeno (T-F) fuzzy systems with time-varying delay under zero initial conditions. The key idea is to introduce the reciprocally convex combination approach for bounding the forward difference of triple-summable terms. Combining with some novel zero equalities, sufficient conditions are proposed to ensure that all the states of the system starting from origin are bounded in an ellipsoid. Simulation results are provided to demonstrate the validity of the theoretical findings.

Publication Date


  • 2017

Citation


  • Feng, Z., & Zheng, W. X. (2017). On reachable set bounding for delayed discrete-time Takagi-Sugeno fuzzy systems. In 2016 Australian Control Conference, AuCC 2016 (pp. 335-340). doi:10.1109/AUCC.2016.7868212

Scopus Eid


  • 2-s2.0-85017005612

Web Of Science Accession Number


Start Page


  • 335

End Page


  • 340

Abstract


  • The purpose of this paper to study the reachable set bounding problem for discrete-time Takagi-Sugeno (T-F) fuzzy systems with time-varying delay under zero initial conditions. The key idea is to introduce the reciprocally convex combination approach for bounding the forward difference of triple-summable terms. Combining with some novel zero equalities, sufficient conditions are proposed to ensure that all the states of the system starting from origin are bounded in an ellipsoid. Simulation results are provided to demonstrate the validity of the theoretical findings.

Publication Date


  • 2017

Citation


  • Feng, Z., & Zheng, W. X. (2017). On reachable set bounding for delayed discrete-time Takagi-Sugeno fuzzy systems. In 2016 Australian Control Conference, AuCC 2016 (pp. 335-340). doi:10.1109/AUCC.2016.7868212

Scopus Eid


  • 2-s2.0-85017005612

Web Of Science Accession Number


Start Page


  • 335

End Page


  • 340