Super twisting control of a parametrically excited overhead crane

Vibrational Stabilization by Reshaping Arnold Tongues: A Numerical Approach

“…In particular, due to the existence of parametric resonance [3] [11] [17], it becomes crucial to be able to design controllers that can overcome such effects. Some examples of physical systems modeled by a Hill equation and the effects of parametric resonance can be found in [17]- [20]. Moreover, the understanding and control of parametric resonance for electric applications is currently receiving much attention [21]- [23].…”

Finite-time super-twisting sliding mode control for Mars entry trajectory tracking

“…In recent decades, a number of design methods for attenuating high-frequency switching of SMC have been proposed, such as quasi-continuous sliding mode [32], asymptotic sliding mode [33] and supertwisting (STW) controller [34]. Although they all can alleviate the high-frequency switching of control action more or less, only STW controller can reach the sliding mode manifold in finite-time in the presence of uncertainties or disturbances [35][36][37]. However, conventional STW tracking controller usually can not acquire the finite time convergence of tracking error for the system whose relative degree is more than one [38][39][40][41].…”

Vibration Suppression Control of a Flexible Gantry Crane System with Varying Rope Length

“…In the quest of avoiding dependence on system parameters and system robustness, Tuan et al use sliding mode as a control core in conjunction with other techniques such as model reference adaptive control [11] for crane systems. In addition, variations of sliding mode control can be found in [12] where super twisting based sliding mode controls are considered. Different from traditional gantry system structure with control attached to the trolley end, Schlott et al [13] propose an actuated load structure for decoupling control purpose.…”