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Título del libro: Proceedings Of The Ieee Conference On Decision And Control
Título del capítulo: Implicit Discretization of a PID-like Sliding-Mode Controller for Double Integrator Systems

Autores UNAM:
LEONID FRIDMAN;
Autores externos:

Idioma:

Año de publicación:
2025
Palabras clave:

Cascade control systems; Continuous time systems; Signal processing; Sliding mode control; Backward Euler; Continous time; Discretizations; Double integrator; Euler discretization; Integrator systems; PID like controllers; Simulation studies; Sliding mode controller; Third order; Controllers


Resumen:

This paper presents the fully implicit (backward-Euler) discretization of a PID-like sliding-mode controller for undisturbed double-integrator systems. The method inherits the third-order sliding accuracy of the continuous-time PID-like controller while eliminating discretization chattering. The controller is compared in simulation studies to an explicit Euler discretization and a cascaded implementation with a super-twisting controller in the inner loop. The results reveal unique strengths and weaknesses of each approach. It is finally applied to patient positioning of a real-world magnetic resonance imaging system, demonstrating its practical applicability. © 2025 IEEE.


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