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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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Submitted on : Monday, November 15, 2021 - 9:03:05 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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