scholarly journals Comparison and Benchmarking of NMPC for Swing-Up and Side-Stepping of an Inverted Pendulum with Underlying Velocity Control

2021 ◽  
Vol 54 (14) ◽  
pp. 263-268
Author(s):  
Ricus Husmann ◽  
Harald Aschemann
2019 ◽  
Vol 8 (3) ◽  
pp. 808-817
Author(s):  
Mustapha Muhammad ◽  
Amir A. Bature ◽  
Umar Zangina ◽  
Salinda Buyamin ◽  
Anita Ahmad ◽  
...  

This paper presents the design of a fuzzy tracking controller for balancing and velocity control of a Two-Wheeled Inverted Pendulum (TWIP) mobile robot based on its Takagi-Sugino (T-S) fuzzy model, fuzzy Lyapunov function and non-parallel distributed compensation (non-PDC) control law. The T-S fuzzy model of the TWIP mobile robot was developed from its nonlinear dynamical equations of motion. Stabilization conditions in a form of linear matrix inequalities (LMIs) were derived based on the T-S fuzzy model of the TWIP mobile robot, a fuzzy Lyapunov function and a non-PDC control law. Based on the derived stabilization conditions and the T-S fuzzy model of the TWIP mobile robot, a state feedback velocity tracking controller was then proposed for the TWIP mobile robot. The balancing and velocity tracking performance of the proposed controller was investigated via simulations. The simulation result shows the effectiveness of the proposed control scheme.


Author(s):  
Lifei Mao ◽  
Jian Huang ◽  
Feng Ding ◽  
Yongji Wang

2015 ◽  
Vol 7 (4) ◽  
Author(s):  
Hari Vasudevan ◽  
Aaron M. Dollar ◽  
John B. Morrell

In this paper, we study five aspects of design for wheeled inverted pendulum (WIP) platforms with the aim of understanding the effect of design choices on the balancing performance. First, we demonstrate analytically and experimentally the effect of soft visco-elastic tires on a WIP showing that the use of soft tires enhances balancing performance. Next, we study the effect of pitch rate and wheel velocity filters on WIP performance and make suggestions for design of filters. We then describe a self-tuning limit cycle compensation algorithm and experimentally verify its operation. Subsequently, we present an analytical simulation to study the effects of torque and velocity control of WIP motors and describe the tradeoffs between the control methodologies in various application scenarios. Finally, to understand if motor gearing can be an efficient alternative to bigger and more expensive direct drive motors, we analyze the effect of motor gearing on WIP dynamics. Our aim is to describe electromechanical design tradeoffs appropriately, so a WIP can be designed and constructed with minimal iterative experimentation.


Author(s):  
XUESHAN GAO ◽  
YUBAI LIU ◽  
SHIGONG JIANG ◽  
FUQUAN DAI

Author(s):  
Tony Le ◽  
Paul Oh

The intent of this paper is to provide information on how to implement a mobile inverted pendulum using the LEGO® Mindstorms NXT platform for educational purposes in mechatronics. A description of the dynamics of a mobile inverted pendulum is first, followed by a description of the hardware and software components composing the NXT platform. Discussed are the capabilities and the limitations of the NXT system. As a demonstration, a mobile inverted pendulum is built and controlled using a simple PID controller. Sensors used include a HiTechnic gyro sensor to measure angular rate for balancing and the NXT ultrasound sensor for obstacle avoidance. Shown are the simulated and experimental results of the angular rate and velocity control. Lastly, a breakdown of a hypothetical course in mechatronics highlights the described NXT mobile inverted pendulum.


2010 ◽  
Vol 26 (4) ◽  
pp. 750-758 ◽  
Author(s):  
Jian Huang ◽  
Zhi-Hong Guan ◽  
Takayuki Matsuno ◽  
Toshio Fukuda ◽  
Kosuke Sekiyama

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