Nonstationary Sliding Mode Control Using Time-Varying Switching Hyperplane for Transverse Vibration of Elevator Rope

Author(s):  
Masatsugu Otsuki ◽  
Yumiko Ushijima ◽  
Kazuo Yoshida ◽  
Hiroyuki Kimura ◽  
Toshiaki Nakagawa

The excitation of transverse vibration of an elevator rope is caused by the resonance with the building-sway by an earthquake or wind-induced vibration, hence, a useful active solution for its issue is demanded. In this paper, therefore, the vibration suppression for the elevator rope with the nonstationary sliding mode control using a time-varying switching hyperplane is performed by moving the rope directly near its boundary by use of a control device with gaps between actuator and rope. The nonstationary sliding mode controller has the effectiveness for the control of the object with time-varying characteristics and the robustness for the nonlinearity of the control device. The performance and robustness of the proposed controller are verified through the numerical calculation for the practical case, consequently, the good results are obtained.

2021 ◽  
Vol 40 (1) ◽  
pp. 983-999
Author(s):  
Huan Li ◽  
Pengyi Tang ◽  
Yuechao Ma

In this paper, a class of observer-based sliding mode controller is designed, and the finite-time H∞ control problem of uncertain T-S fuzzy systems with time-varying is studied. Firstly, an integral-type sliding surface function with time-delay is devised based on the state estimator, and sufficient criteria of finite-time bounded and finite-time H∞ bounded can be obtained for the T-S systems. Moreover, the proposed sliding mode control law is integrated to ensure the dynamics of controlled system into the sliding surface in a finite-time interval. Then, according to the linear matrix inequalities (LMIs), the desired gain matrices of fuzzy sliding mode controller and state estimator are derived. Finally, effectiveness gives some illustrative examples may be used to display the value of the current proposed method as well as a significant improvement.


2011 ◽  
Vol 464 ◽  
pp. 268-271
Author(s):  
Hong Lin ◽  
Zhi Hua Feng ◽  
Xiang Jun Lan

In this paper, a dynamic model of yarn in sizing machines is proposed. The fluxion in moving speed is taken into consideration. By sliding-mode control, the transverse vibration control of the yarns is studied and the control law based on varied tensions is designed. Numerical simulation are carried out using the finite difference approach and results show that the convergence rate of spacing errors of the yarn is fast and the transverse vibration can be well reduced.


Author(s):  
Khadija Dehri ◽  
Ahmed Said Nouri

The problem of sensitivity to uncertainties and disturbances is still a challenging task in the theory of discrete sliding mode controller. In this article, a discrete repetitive adaptive sliding mode control using only input-output measurements of linear time-varying system with periodic disturbances is proposed. A new indirect adaptive algorithm taken into account the periodicity of disturbances is used to identify parameter variations of the considered system. Based on this identification, discrete sliding mode controller is developed. Then, the structure of plug-in repetitive control is integrated into the previous controller to reject harmonic disturbances. A robustness analysis is achieved to ensure the asymptotic stability of the proposed controller. An example of time-varying DC-DC buck converter subject to harmonic disturbances is carried out to illustrate the effectiveness of the designed discrete repetitive adaptive sliding mode control.


Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Bin Xu ◽  
Pengchao Zhang

This paper investigates an adaptive neural sliding mode controller for MEMS gyroscopes with minimal-learning-parameter technique. Considering the system uncertainty in dynamics, neural network is employed for approximation. Minimal-learning-parameter technique is constructed to decrease the number of update parameters, and in this way the computation burden is greatly reduced. Sliding mode control is designed to cancel the effect of time-varying disturbance. The closed-loop stability analysis is established via Lyapunov approach. Simulation results are presented to demonstrate the effectiveness of the method.


Author(s):  
Imen Saidi ◽  
Asma Hammami

Introduction: In this paper, a robust sliding mode controller is developed to control an orthosis used for rehabilitation of lower limb. Materials and Methods: The orthosis is defined as a mechanical device intended to physically assist a human subject for the realization of his movements. It should be adapted to the human morphology, interacting in harmony with its movements, and providing the necessary efforts along the limbs to which it is attached. Results: The application of the sliding mode control to the Shank-orthosis system shows satisfactory dynamic response and tracking performances. Conclusion: In fact, position tracking and speed tracking errors are very small. The sliding mode controller effectively absorbs disturbance and parametric variations, hence the efficiency and robustness of our applied control.


2021 ◽  
Vol 111 ◽  
pp. 106549
Author(s):  
Jianhua Wang ◽  
Liang Han ◽  
Xiwang Dong ◽  
Qingdong Li ◽  
Zhang Ren

Energies ◽  
2021 ◽  
Vol 14 (13) ◽  
pp. 3811
Author(s):  
Katarzyna Adamiak ◽  
Andrzej Bartoszewicz

This study considers the problem of energetical efficiency in switching type sliding mode control of discrete-time systems. The aim of this work is to reduce the quasi-sliding mode band-width and, as follows, the necessary control input, through an application of a new type of time-varying sliding hyperplane in quasi-sliding mode control of sampled time systems. Although time-varying sliding hyperplanes are well known to provide insensitivity to matched external disturbances and uncertainties of the model in the whole range of motion for continuous-time systems, their application in the discrete-time case has never been studied in detail. Therefore, this paper proposes a sliding surface, which crosses the system’s representative point at the initial step and then shifts in the state space according to the pre-generated demand profile of the sliding variable. Next, a controller for a real perturbed plant is designed so that it drives the system’s representative point to its reference position on the sliding plane in each step. Therefore, the impact of external disturbances on the system’s trajectory is minimized, which leads to a reduction of the necessary control effort. Moreover, thanks to a new reaching law applied in the reference profile generator, the sliding surface shift in each step is strictly limited and a switching type of motion occurs. Finally, under the assumption of boundedness and smoothness of continuous-time disturbance, a compensation scheme is added. It is proved that this control strategy reduces the quasi-sliding mode band-width from O(T) to O(T3) order from the very beginning of the regulation process. Moreover, it is shown that the maximum state variable errors become of O(T3) order as well. These achievements directly reduce the energy consumption in the closed-loop system, which is nowadays one of the crucial factors in control engineering.


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