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A novel robust \(H_{\infty }\) fuzzy state feedback plus state-derivative feedback controller design for nonlinear time-varying delay systems

  • S. Ruangsang
  • W. Assawinchaichote
Original Article

Abstract

This paper investigates the problem of designing a robust \(H_{\infty }\) state feedback plus state-derivative feedback control mechanism for a class of uncertain nonlinear time-varying delay systems described by a Takagi–Sugeno fuzzy model. A linear matrix inequality approach is applied to derive a robust controller for such a system. The proposed controller satisfies design requirements that ensure that the closed-loop system is asymptotically stable and meets pre-prescribed \(H_{\infty }\) performance index values. Finally, the illustrative examples are simulated to illustrate the effectiveness of the proposed methodology.

Keywords

Robust \(H_{\infty }\) control State-derivative feedback Linear matrix inequalities (LMIs) Takagi–Sugeno (T–S) Time-varying delay systems 

Notes

Acknowledgements

The authors would like to thank the Department of Electronic and Telecommunication Engineering at King Mongkut’s University of Technology Thonburi, Bangkok, Thailand for supporting this study.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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Copyright information

© The Natural Computing Applications Forum 2018

Authors and Affiliations

  1. 1.Department of Electronic and Telecommunication Engineering, Faculty of EngineeringKing Mongkut’s University of Technology ThonburiBangkokThailand

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