Design of rotational inverted pendulum control based on second-order sliding mode

2021 ◽  
pp. 002072092098848
Author(s):  
Chong Yang ◽  
Lu Dace ◽  
Wang Hongli
Keyword(s):  
Control System ◽  
Inverted Pendulum ◽  
Sliding Mode ◽  
Control Function ◽  
Control Variable ◽  
System Control ◽  
Sign Function ◽  
Coupling System ◽  
Twisting Control ◽  
Super Twisting Control

Rotational Inverted Pendulum is a typical nonlinear, unstable and strong coupling system. How to design a control system to restore the equilibrium state quickly and stably is a problem worth studying. High order super twisting sliding mode system has the advantages of traditional sliding mode control system. Super twisting system can elimination control chatter due to the discontinuities of control variable which contain in traditional sliding mode system. The super twisting system is designed. The saturation function replaces the sign function in the super twisting control function to improve the smoothness of the control variable. The simulation shows that this design has excellent precision. Inverted pendulum has smaller movement stroke than traditional super twisting system. Control chatter is also smaller than traditional super twisting system.

scholarly journals Adaptive Super-Twisting Control for Mobile Wheeled Inverted Pendulum Systems

2019 ◽  
Vol 9 (12) ◽  
pp. 2508 ◽  
Author(s):  
Mengshi Zhang ◽  
Jian Huang ◽  
Yu Cao
Keyword(s):  
Sliding Mode Control ◽  
Inverted Pendulum ◽  
Sliding Mode ◽  
Superior Performance ◽  
Modeling And Control ◽  
Mode Control ◽  
Wheeled Inverted Pendulum ◽  
Chattering Elimination ◽  
Twisting Control ◽  
Super Twisting Control

Recently, the mobile wheeled inverted pendulum (MWIP) has gained an increasing interest in the field of robotics due to traffic and environmental protection problems. However, the MWIP system is characterized by its nonlinearity, underactuation, time-varying parameters, and natural instability, which make its modeling and control challenging. Traditionally, sliding mode control is a typical method for such systems, but it has the main shortcoming of a “chattering” phenomenon. To solve this problem, a super-twisting algorithm (STA)-based controller is proposed for the self-balancing and velocity tracking control of the MWIP system. Since the STA is essentially a second-order sliding mode control, it not only contains the merits of sliding mode control (SMC) in dealing with the uncertainties and disturbances but can also be effective in chattering elimination. Based on the STA, we develop an adaptive gain that helps to learn the upper bound of the disturbance by applying an adaptive law, called an adaptive super-twisting control algorithm (ASTA). The stability of the closed-loop system is ensured according to the Lyapunov theorem. Both nominal experiments and experiments with uncertainties are conducted to verify the superior performance of the proposed method.

scholarly journals Design and experiment of adaptive modified super-twisting control with a nonlinear sliding surface for a quadrotor helicopter

2018 ◽  
Vol 10 (10) ◽  
pp. 168781401880493 ◽  
Author(s):  
Reesa Akbar ◽  
Naoki Uchiyama
Keyword(s):  
Control System ◽  
Energy Consumption ◽  
Sliding Mode Control ◽  
Control Algorithm ◽  
Sliding Mode ◽  
Time Varying ◽  
Sliding Surface ◽  
Quadrotor Helicopter ◽  
Twisting Control ◽  
Super Twisting Control

Quadrotor unmanned aerial vehicle is a nonlinear system of 6-degree-of-freedom motion. In order to handle the nonlinearity that causes undesirable behavior, robustness of flight control has been studied. In this work, we consider the combination of higher order sliding mode control and nonlinear time-varying sliding surface for robustness and accuracy in tracking. An adaptive super-twisting control, a second-order sliding mode control, is utilized to compensate for the uncertainty and perturbation of a quadrotor system. A time-varying sliding surface is designed with a nonlinear function to provide varying properties of closed-loop dynamics and to improve control performance with energy consumption reduction. The proposed control system performance including energy consumption was compared among nonlinear adaptive super-twisting control algorithm, linear adaptive super-twisting control algorithm, and linear super twisting controllers, without and under wind disturbance. The robustness and effectiveness of the proposed control system are demonstrated by several times simulation and experiment using a quadrotor helicopter test bed.

Sliding Mode Control for Wheeled Inverted Pendulum

2014 ◽  
Vol 971-973 ◽  
pp. 714-717 ◽  
Author(s):  
Xiang Shi ◽  
Zhe Xu ◽  
Qing Yi He ◽  
Ka Tian
Keyword(s):  
Control System ◽  
Sliding Mode Control ◽  
High Performance ◽  
Inverted Pendulum ◽  
Sliding Mode ◽  
Experimental Results ◽  
Control Law ◽  
Collaborative Simulation ◽  
Mode Control ◽  
Wheeled Inverted Pendulum

To control wheeled inverted pendulum is a good way to test all kinds of theories of control. The control law is designed, and it based on the collaborative simulation of MATLAB and ADAMS is used to control wheeled inverted pendulum. Then, with own design of hardware and software of control system, sliding mode control is used to wheeled inverted pendulum, and the experimental results of it indicate short adjusting time, the small overshoot and high performance.

The Application of Intelligent Industrial Robotic Control System Based on PLC in Mechanical Automation

2013 ◽  
Vol 738 ◽  
pp. 272-275
Author(s):  
Dun Chen Lan
Keyword(s):  
Control System ◽  
Control Method ◽  
Control Function ◽  
Industrial Robot ◽  
Interface State ◽  
Research Field ◽  
Normal Operation ◽  
System Control ◽  
Experiment Platform ◽  
Excellent Control

In the field of mechanical automation, intelligent industrial robot technology is an important branch in the research field of robot; it is always the hot spots of the world robot research, and it being used to get the application in the industry today. Robot experiment platform of PLC and motor control technology, it based on the control method used by the robot control system improvements to make it more perfect run more precise, reasonable. In the same time, the man-machine interface state run monitoring, to ensure the normal operation of the system. Improved control method of the improvement of the work efficiency, reduce the work of the workers a duplication degree have a significant effect, and the system control at the scene, especially PLC control has excellent control function and good cost performance .

scholarly journals Super-twisting Control of Magnetic Levitation System

2020 ◽  
Vol 32 ◽  
pp. 01004
Author(s):  
Rupak Rokade ◽  
Deepti Khimani
Keyword(s):  
Sliding Mode Control ◽  
Magnetic Levitation ◽  
Sliding Mode ◽  
Second Order ◽  
Mode Control ◽  
Levitation System ◽  
Magnetic Levitation System ◽  
Twisting Control ◽  
Super Twisting Control ◽  
Second Order Sliding Mode

This article presents the implementation results of second order sliding mode control (SOSM) for magnetic levitation system. In practical systems, especially when the actuators are electro-mechanical, the conventional (first order) sliding mode control can not be used effectively as it exhibits chattering, which is highly undesirable. Therefore, for such systems, sliding mode control of higher order can be a suitable choice as the reduce the chattering significantly. In this article the super-twisting control, which isa second order sliding mode control, is designed and implemented for the experimental setup of Maglev system, Model 730 developed by ECP systems.

scholarly journals Finite-Time Second-Order Sliding Mode Controllers for Spacecraft Attitude Tracking

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Chutiphon Pukdeboon
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Second Order ◽  
Disturbance Attenuation ◽  
Spacecraft Attitude ◽  
Control Laws ◽  
Attitude Tracking ◽  
Twisting Control ◽  
Super Twisting Control ◽  
Second Order Sliding Mode

The attitude tracking control problem of a spacecraft nonlinear system with external disturbances and inertia uncertainties is studied. Two robust attitude tracking controllers based on finite-time second-order sliding mode control schemes are proposed to solve this problem. For the first controller, smooth super twisting control is applied to quaternion-based spacecraft-attitude-tracking maneuvers. The second controller is developed by adding linear correction terms to the first super twisting control algorithm in order to improve the dynamic performance of the closed-loop system. Both controllers are continuous and, therefore, chattering free. The concepts of a strong Lyapunov function are employed to ensure a finite-time convergence property of the proposed controllers. Theoretical analysis shows that the resulting control laws have strong robustness and disturbance attenuation ability. Numerical simulations are also given to demonstrate the performance of the proposed control laws.

scholarly journals PSO-Based Integral Sliding Mode Controller for Optimal Swing-Up and Stabilization of the Cart-Inverted Pendulum System

2021 ◽  
Vol 18 (2) ◽  
pp. 88-97
Author(s):  
T.J. Shima ◽  
H.A. Bashir
Keyword(s):  
Control System ◽  
Inverted Pendulum ◽  
Sliding Mode ◽  
Pso Algorithm ◽  
Track Length ◽  
Sliding Mode Controller ◽  
Pendulum System ◽  
Integral Sliding Mode ◽  
Inverted Pendulum System ◽  
Optimal Values

An integral sliding mode controller (ISMC) which employs particle swarm optimization (PSO) algorithm to search for optimal values of the parameters of the integral sliding manifold as well as the gains of the controller is proposed in this work. We considered the swing-up and stabilization of the cart-inverted pendulum system which is assumed to be affected by uncertainties. First, we determined the swing-up and stabilization conditions of the control system by using the internal dynamics of the cart-inverted pendulum system and sliding mode dynamics. A PSO algorithm is then used to search for the optimal values of the ISMC design parameters that satisfy the stabilization condition with the aim of improving the transient performance of the control system. To mitigate the chattering phenomenon, a saturation function of the integral sliding variable was used in the discontinuous control law. Simulation results on swing-up and stabilization of the cart-inverted pendulum system revealed improvement in transient behaviour by reducing settling time (by 52.61%), overshoots (by 45.56%) and required track length for cart movement (by 68.34%).

Fractional-Order Variable-Gain Super-Twisting Control With Application to Wafer Stages of Photolithography Systems

2020 ◽  
Author(s):  
Zhian Kuang ◽  
Liting Sun ◽  
Huijun Gao ◽  
Masayoshi Tomizuka
Keyword(s):  
Fractional Order ◽  
Sliding Mode ◽  
Response Speed ◽  
Tracking Performance ◽  
Sliding Surface ◽  
Variable Gain ◽  
Equivalent Control ◽  
Order Variable ◽  
Twisting Control ◽  
Super Twisting Control

Abstract In this paper, a novel fractional-order variable-gain super-twisting control (FVSTC) scheme is proposed and applied to improve the tracking performance of wafer stages in the photolithography systems. The FVSTC overcomes the drawbacks of the super-twisting control (STC) such as slow response speed and incomplete compensation to disturbances. First, to improve the dynamics of the states on the sliding surface, a fractional-order sliding surface is designed. Moreover, to improve the dynamics of the sliding mode variable, an equivalent-control-based method is utilized, and a switching controller based on a variable-gain super-twisting algorithm is deployed. Via such designed schemes, the proposed controller is robust against external disturbances and model uncertainties. Stability proof of the closed-loop system is provided. Numerical simulations to track a sinusoidal signal and experiments on a wafer stage testbed are conducted. The results show that the proposed FVSTC scheme can achieve much better tracking performance than conventional methods.

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