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Local stabilization of discrete-time TS descriptor systems

Abstract : Descriptor models are naturally obtained from the Euler–Lagrange modeling approach to mechanical systems. Since the underlying system is nonlinear, global stabilization and/or tracking is possible only in a limited number of cases. Therefore, we develop conditions for local stabilization and tracking of discrete-time descriptor systems represented by Takagi–Sugeno fuzzy models, using both quadratic and nonquadratic Lyapunov functions. An estimate of the region of attraction is also obtained. The conditions are illustrated on a numerical example and in tracking control for a robot arm.
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https://hal-uphf.archives-ouvertes.fr/hal-03428157
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Submitted on : Monday, November 15, 2021 - 9:03:05 AM
Last modification on : Tuesday, November 16, 2021 - 3:56:50 AM

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Zsofia Lendek, Gábor Nagy, Jimmy Lauber. Local stabilization of discrete-time TS descriptor systems. Engineering Applications of Artificial Intelligence, Elsevier, 2018, 67, pp.409-418. ⟨10.1016/j.engappai.2017.09.006⟩. ⟨hal-03428157⟩

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