$\mathcal{H}_{\infty}$ Norm Optimal Parameters for the Super-Twisting Controller with State Dependent Disturbance

Autor: Johann Reger, Daipeng Zhang
Rok vydání: 2019
Předmět:
Zdroj: 2019 18th European Control Conference (ECC).
DOI: 10.23919/ecc.2019.8795658
Popis: The super-twisting controller with state dependent disturbance is studied to obtain a preferable parameter set. Whenever the disturbances obey a respective bound, the system will enjoy complete rejection of the disturbance and converge within finite time. However, if such bounds are violated occasionally, then the state will be excited and will converge again after the disturbance obeys the presumed bound. During that violation, the $\mathcal{L}_{2}$ -gain from the overall disturbance to the state may be minimized by choosing specific parameters. Our study shows that larger parameters always produce better attenuation for the task of controller design. We propose a lower bound for the controller parameters and study these by simulation.
Databáze: OpenAIRE