Non-linear robust control for inverted-pendulum 2D walking

2015 ◽  
Author(s):  
Matthew Kelly ◽  
Andy Ruina
Keyword(s):  
Robust Control ◽  
Inverted Pendulum ◽  
Non Linear

scholarly journals Real-Time Swing-up Control of Non-Linear Inverted Pendulum using Lyapunov based Optimized Fuzzy Logic Control

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Arpit Jain ◽  
Abhinav Sharma ◽  
Vibhu Jately ◽  
Brian Azzopardi ◽  
Sushabhan Choudhury
Keyword(s):  
Fuzzy Logic ◽  
Real Time ◽  
Fuzzy Logic Control ◽  
Inverted Pendulum ◽  
Logic Control ◽  
Non Linear

scholarly journals Decoupled Multi-Loop Robust Control for a Walk-Assistance Robot Employing a Two-Wheeled Inverted Pendulum

Machines ◽  
2021 ◽  
Vol 9 (10) ◽  
pp. 205
Author(s):  
Fu-Cheng Wang ◽  
Yu-Hong Chen ◽  
Zih-Jia Wang ◽  
Chi-Hao Liu ◽  
Pei-Chun Lin ◽  
...  
Keyword(s):  
Robust Control ◽  
Transfer Function ◽  
Inverted Pendulum ◽  
Control Structure ◽  
Position Tracking ◽  
Loop Control ◽  
Wheeled Inverted Pendulum ◽  
Decoupled Control ◽  
Rotational Motions ◽  
Electrical Motors

This paper develops a decoupled multi-loop control for a two-wheeled inverted pendulum (TWIP) robot that can assist user’s with walking. The TWIP robot is equipped with two wheels driven by electrical motors. We derive the system’s transfer function and design a robust loop-shaping controller to balance the system. The simulation and experimental results show that the TWIP system can be balanced but might experience velocity drifts because its balancing point is affected by model variations and disturbances. Therefore, we propose a multi-loop control layout consisting of a velocity loop and a position loop for the TWIP robot. The velocity loop can adjust the balancing point in real-time and regulate the forward velocity, while the position loop can achieve position tracking. For walking assistance, we design a decoupled control structure that transfers the linear and rotational motions of the robot to the commands of two parallel motors. We implement the designed controllers for simulation and experiments and show that the TWIP system employing the proposed decoupled multi-loop control can provide satisfactory responses when assisting with walking.

Decentralised robust control of interconnected uncertain non-linear mechanical systems

2010 ◽  
Vol 8 (1/2/3/4) ◽  
pp. 114
Author(s):  
Zi Jiang Yang ◽  
Youichirou Fukushima ◽  
Shunshoku Kanae ◽  
Kiyoshi Wada
Keyword(s):  
Robust Control ◽  
Mechanical Systems ◽  
Non Linear

Design and Analysis of Linear Quadratic Regulator for a Non-Linear Positioning System

2015 ◽  
Vol 761 ◽  
pp. 227-232 ◽  
Author(s):  
Tang Teng Fong ◽  
Zamberi Jamaludin ◽  
Ahmad Yusairi Bani Hashim ◽  
Muhamad Arfauz A. Rahman
Keyword(s):  
Physical System ◽  
Inverted Pendulum ◽  
Linear Quadratic Regulator ◽  
Upright Position ◽  
System Model ◽  
Optimum Control ◽  
Control Vector ◽  
Linear Quadratic ◽  
Non Linear ◽  
Lqr Controller

The control of rotary inverted pendulum is a case of classical robust controller design of non-linear system applications. In the control system design, a precise system model is a pre-requisite for an enhanced and optimum control performance. This paper describes the dynamic system model of an inverted pendulum system. The mathematical model was derived, linearized at the upright equilibrium points and validated using non-linear least square frequency domain identification approach based on measured frequency response function of the physical system. Besides that, a linear quadratic regulator (LQR) controller was designed as the balancing controller for the pendulum. An extensive analysis was performed on the effect of the weighting parameter Q on the static time of arm, balance time of pendulum, oscillation, as well as, response of arm and pendulum, in order to determine the optimum state-feedback control vector, K. Furthermore, the optimum control vector was successfully applied and validated on the physical system to stabilize the pendulum in its upright position. In the experimental validation, the LQR controller was able to keep the pendulum in its upright position even in the presence of external disturbance forces.

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