scholarly journals Stabilising a cart inverted pendulum with an augmented PID control scheme

2018 ◽  
Vol 197 ◽  
pp. 11013
Author(s):  
Indrazno Siradjuddin ◽  
Zakiyah Amalia ◽  
Budhy Setiawan ◽  
Ferdian Ronilaya ◽  
Erfan Rohadi ◽  
...  
Keyword(s):  
Pid Control ◽  
Control Algorithm ◽  
Inverted Pendulum ◽  
Control Algorithms ◽  
Pendulum System ◽  
Lagrange’S Equation ◽  
System A ◽  
Inverted Pendulum System ◽  
Best Response ◽  
Control Scheme

A cart inverted pendulum is an under actuated system that highly unstable and nonlinear. Therefore, it makes a good problem example which attracts control engineers to validate the developed control algorithms. In this paper, an augmented PID control algorithm is proposed to stabilise a cart inverted pendulum at the desired state. The derivation of a mathematical model of the cart inverted pendulum using Lagrange's equation is discussed in detail. The system dynamics is illustrated to understand better the behaviour of the system. A simulation program has been developed to verify the performance of the proposed control algorithm. The system dynamic behaviours with respect to the variation of the controller parameters are analysed and discussed. Controllers parameters are expressed into two PID gain sets which associated with 2 dynamic states: the cart position (ϰ) and the pendulum angle (θ). It can be concluded from the simulation result that the proposed control algorithm can perform well where acceptable steady errors can be achieved. The best response from the cart inverted pendulum system has been obtained with the value of kPX 190, kDX 50, kIX 5, kPθ 140, kDθ 5, and kIθ 25.

Modeling and PID Control of Single-Stage Inverted Pendulum System

2014 ◽  
Vol 644-650 ◽  
pp. 142-145
Author(s):  
Yu Qiang Jin ◽  
Jun Wei Lei ◽  
Di Liu
Keyword(s):  
Mathematical Model ◽  
Dynamic Model ◽  
Pid Control ◽  
Control Algorithm ◽  
Inverted Pendulum ◽  
Good Stability ◽  
Pendulum System ◽  
Control Precision ◽  
Inverted Pendulum System ◽  
High Control

The dynamic model is obtained based on researching the structure of single inverted pendulum system in this paper. Mathematical model of inverted pendulum that is close to the working point is deduced by linearization. A PID control algorithm is put forward by analyzing the factor of influencing inverted pendulum stability. The effectiveness of proposed algorithm is verified by simulation. This algorithm has the features of high control precision and good stability.

scholarly journals Integrated SolidWorks and Simscape platform for the design and control of an inverted pendulum system

2020 ◽  
Vol 71 (2) ◽  
pp. 122-126
Author(s):  
Ahmed Alkamachi
Keyword(s):  
Inverted Pendulum ◽  
Controller Design ◽  
State Feedback Control ◽  
Pendulum System ◽  
Inverted Pendulum System ◽  
Control Scheme ◽  
Implicit System ◽  
Physical Elements ◽  
And Control ◽  
The Mathematical Model

AbstractA single inverted pendulum on a cart (SIPC) is designed and modeled physically using SolidWorks. The model is then exported to the Simulink environment to form a Simscape model for simulation and test purposes. This type of modeling uses a physical grid tactic to model mechanical structures. It requires connection of the physical elements with physical signal converter to define the implicit system dynamics to be modeled. The integration between the SolidWorks and Simscape eliminates the need of deriving the mathematical model and provides a platform for the rapid controller design for the system. State feedback control scheme is proposed, designed, and tuned aiming to maintain the pendulum in the upright place while tracking the desired cart position. Several simulation cases are studied to prove the controller abilities. In order to examine the controller robustness, disturbance rejection and noise attenuation capabilities are also discovered.

Application on Two Degree of Freedom Model Driven PID in Liner First-Order Inverted Pendulum

2013 ◽  
Vol 433-435 ◽  
pp. 1000-1004
Author(s):  
Jing Jing Shi ◽  
Li Xiang Zhang ◽  
Ai Qin Jiang
Keyword(s):  
Control System ◽  
Pid Control ◽  
Inverted Pendulum ◽  
Degree Of Freedom ◽  
Control Technology ◽  
Pendulum System ◽  
First Order ◽  
Model Driven ◽  
Inverted Pendulum System ◽  
Two Degree Of Freedom

The inverted pendulum system is a high order, strong coupling, multi-variable and absolutely unstable nonlinear system. Its optimal control has been the hotspot in the field of study. A new two degree of freedom model driven PID control system is introduced in this paper.It will state the structure of the control technology and design steps.The control technology is applied to control linear inverted pendulum in this paper. The simulation results prove that two degree of freedom model driven PID control system has the feasibility and superiority.

scholarly journals CONTROL OF THE TWO DoF INVERTED PENDULUM

2014 ◽  
Vol 4 (2) ◽  
Author(s):  
M. Fajar
Keyword(s):  
Control Strategy ◽  
Inverted Pendulum ◽  
Multibody System ◽  
Pole Placement ◽  
Pendulum System ◽  
System A ◽  
Inverted Pendulum System ◽  
Feedback Method ◽  
And Control ◽  
Pole Placement Control

This paper describes how to simulate and control the two DoF inverted pendulum system, a dynamics of multibody system. The control strategy used is based on the conventional feedback method for the stabilisation of the two DoF inverted pendulum system. Simulation study has been done shows that conventional method i.e. pole placement control strategy is capable to control multi input and multi output of the two DoF inverted pendulum system successfully. The result shows that pole placement control strategy gives satisfactory response that is presented in time domain.

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