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Choosing an Adequate Convex Structure for Controller and Observer Gains in Takagi-Sugeno Control Systems

, , ,
J. L Ortiz
  • Function : Author
Thierry-Marie Guerra
Víctor Estrada Manzo
  • Function : Author
Jimmy Lauber

Abstract

This work presents a methodology to choose the convex structure for nonlinear gains in approaches based on Takagi-Sugeno models. The proposal faces the problem of numerical complexity in LMI-based approaches within this area; it gives a finer convex structure for controller and observer matrices depending on two criteria: less number of LMI constraints or more decision variables while keeping the same number of LMIs in traditional approaches. The advantages of the proposal are illustrated via numerical examples.
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Dates and versions

hal-03408030 , version 1 (27-06-2022)

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Attribution - NonCommercial - NoDerivatives - CC BY 4.0

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J. L Ortiz, Thierry-Marie Guerra, Víctor Estrada Manzo, Jimmy Lauber. Choosing an Adequate Convex Structure for Controller and Observer Gains in Takagi-Sugeno Control Systems. 4th IFAC Conference on Embedded Systems, Computational Intelligence and Telematics in Control (CESCIT 2021), Jul 2021, Valenciennes, France. pp.206-211, ⟨10.1016/j.ifacol.2021.10.035⟩. ⟨hal-03408030⟩
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