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Robust Zonotopic Observer Design: Avoiding Unmeasured Premise Variables for Takagi-Sugeno Fuzzy Systems

, ,
Masoud Pourasgharlafmejani
  • Function : Author
Tran Anh-Tu Nguyen
Thierry-Marie Guerra

Abstract

This paper addresses the design of a robust set-based interval observer for a nonlinear discrete-time system affected by system uncertainty (state disturbance and measurement noise) using a Takagi-Sugeno (TS) fuzzy model including an unmeasurable premise variable. The effect of unmeasurable premise variable and uncertainties is considered as of unknown but bounded nature, i.e., in the set-membership framework. A zonotopic representation of a set towards reducing set operations to simple matrix calculations is used to bound the state estimation provided by the interval observer-based approach. Furthermore, the criterion-based approach and H∞ performance technique are considered in order to compute the observer gain to achieve robustness. Finally, an example is employed to both illustrate and discuss the effectiveness of the proposed approach.
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Dates and versions

hal-03408001 , version 1 (27-06-2022)

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Attribution - NonCommercial - NoDerivatives - CC BY 4.0

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Masoud Pourasgharlafmejani, Tran Anh-Tu Nguyen, Thierry-Marie Guerra. Robust Zonotopic Observer Design: Avoiding Unmeasured Premise Variables for Takagi-Sugeno Fuzzy Systems. 4th IFAC Conference on Embedded Systems, Computational Intelligence and Telematics in Control, Jul 2021, Valenciennes, France. pp.68-73, ⟨10.1016/j.ifacol.2021.10.012⟩. ⟨hal-03408001⟩
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