Super-twisting sliding-mode traction control of vehicles with tractive force observer

Force control of electrohydraulic systems using super-twisting algorithm

“…The algorithm guarantees robustness with respect to modeling errors, uncertainties and external disturbances while reducing the chattering phenomenon found in the conventional SMC algorithm. Recently, the STA has been successfully applied to various applications [14][15][16]. In [14], the STA with variable gains was successfully applied to the control of a variablespeed wind energy conversion system.…”

“…The STA provided continuous control inputs, while exhibiting strong robustness properties. In [16], the STA was utilized to obtain a traction controller for road vehicles. The STA controller with a tractive force observer successfully drove the vehicle to operate at the desired wheel slip ratio and efficiently handled the sudden changes of tire-road frictions.…”

Design of Robust Supertwisting Algorithm Based Second-Order Sliding Mode Controller for Nonlinear Systems with Both Matched and Unmatched Uncertainty

“…Also, it is able to enforce that the system states converge to the sliding variable [17,18]. Nevertheless, the more disadvantage in the supertwisting algorithm is difficulty of designing the gains of the signum function, which leads a very slow convergence and slowly setting time response [14]. In this context, several works have been presented recently proving the stability of the STA using Lyapunov theory and presenting an easy synthesis method of these gains [18].…”

“…Thus, to reduce this problem of the chattering effect, numerous techniques are proposed in literature [10][11][12][13]; one of them is the supertwisting algorithm (STA) method. The STA has become the prototype of Second-Order Sliding Mode Control (SOSMC) algorithm, which has the capability of system robust stabilization, finite time convergence to the sliding surface, and chattering reduction even in the presence of uncertainties [14][15][16]. Also, it is able to enforce that the system states converge to the sliding variable [17,18].…”

Wind turbines controllers design based on the super-twisting algorithm

“…Although classical SMC has shown good performance in an uncountable number of applications, its well-known drawback has been the discontinuous behavior of the computed control inputs that may derive into a high-frequency oscillation known as chattering (see [10]). Among great variety of chattering suppression methods, socalled high-order sliding mode control has been studied intensively within the last decade (see, for example, [11]) and has been applied in a wide variety of fields (see, for instance, [12], [13], [14], and [15]). The twisting and supertwisting control algorithms are intended for designing the second-order sliding mode.…”