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Título del libro: Fixed-Time Parameter Estimation In Polynomial Systems Through Modulating Functions
Título del capítulo: Robustness metrics for nonlinear uniform fixed-time convergent second order Sliding Mode Control

Autores UNAM:
JOSE ANTONIO ROSALES MARTINEZ;
Autores externos:

Idioma:
Inglés
Año de publicación:
2016
Resumen:

The super-twisting-like uniform fixed-time convergent second order Sliding Mode Control (2-SMC) provides fixed-time convergence for the state of a relative degree one system to origin in the presence of matched bounded external disturbances/uncertainties. This controller performance is guaranteed when there are no unmodeled system dynamics. However, the mathematical model representing a physical system inevitably have unmodeled dynamics. Due to the presence of unmodeled dynamics, the performance of the uniform fixed-time convergent controller degrades and makes the system state converges to a periodic motion of certain amplitude and certain frequency. In this paper, the robustness of dynamically perturbed uniform fixed-time convergent SMC systems is studied and the robustness metrics are proposed in terms of Practical Stability Phase Margin (PSPM) and Practical Stability Gain Margin (PSGM). The tools/algorithms to identify PSPM and PSGM are proposed, which are deduced using Describing Function-Harmonic Balance technique. Theoretical developments are illustrated and validated via simulation results. © 2016 IEEE.


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