Continuous output integral sliding mode control for switched linear systems

Two relay control robustification by continuous switched integral sliding modes

“…As is shown in [25] the smaller the desired reaching time be, the higher the level of chattering will be. Hence, to diminish the chattering effect, the following switched gain strategy for the STA is used…”

“…Here by considering assumption A4 and following the CSISM strategy [25] the effects of the matched uncertainties/perturbations are compensated theoretically exactly before the dwell time δ.…”

“…The presented approach can be applied to robustify SO for another kind of system that fulfils the conditions of this study and has relative degree one with respect to the output by using the COISM methodology proposed in [25].…”

“…This methodology is based on the super-twisting algorithm (STA) [22][23][24], the chattering is reduced and it compensates theoretically exactly the matched uncertainties/perturbations before every switching but requires full knowledge of the state. A continuous SOISM (CSOISM) is presented in [25] for systems with relative degree one. The controller and observer are based on the STA, the observer has a cascade structure and every part of the control structure is activated sequentially.…”

A Novel Method to Estimate the Reaching Time of the Super-Twisting Algorithm

“…For the supertwisting algorithm, reaching time estimations based on various Lyapunov functions are proposed in [6], [7]. The latter of these has recently been used in [11] for parameter design given a prescribed reaching time bound. They have also proven useful in the context of applying the super-twisting algorithm when the control signal is limited [12].…”