Mathematical Model Based Attitude Control of Inverted Pendulum Type Mobile Robot

2015 ◽  
Vol 789-790 ◽  
pp. 700-704
Author(s):  
Jin Ho Yoon ◽  
Ah Do Ko ◽  
Kil Hwan Choi ◽  
Hyoung Bae Park ◽  
Myung Jin Chung
Keyword(s):  
Mathematical Model ◽  
Mobile Robot ◽  
Attitude Control ◽  
Pid Controller ◽  
Inverted Pendulum ◽  
Control Method ◽  
State Space Model ◽  
Estimated Parameters ◽  
The Mathematical Model ◽  
Robot Platform

In this paper, attitude control method based on mathematical model for inverted pendulum type mobile robot was proposed. After the inverted pendulum type mobile robot platform was designed, a mathematical modeling was performed. Also, the motor parameters and the mechanism parameters were estimated, and then the estimated parameters were substituted into the mathematical model to obtain the state-space model of mobile robot platform. Using this, a PID controller was designed, and simulations were performed. Also, the experiments were performed after applying it to the mobile robot platform. The simulation and experimental results were obtained similarly, and attitude control performance was excellent.

A Method for Attitude Control Based on a Mathematical Model for an Inverted Pendulum-Type Mobile Robot

2016 ◽  
Vol 6 (1) ◽  
pp. 198
Author(s):  
Jin-Ho Yoon ◽  
Myung-Jin Chung
Keyword(s):  
Mathematical Model ◽  
Mobile Robot ◽  
Attitude Control ◽  
Pid Controller ◽  
Inverted Pendulum ◽  
Control Method ◽  
State Space Model ◽  
Initial State ◽  
Estimated Parameters ◽  
Linear Elements

A method for attitude control based on a mathematical model for an inverted pendulum-type mobile robot was proposed. The inverted pendulum-type mobile robot was designed and the mathematical modeling was conducted. The parameters of the mobile robot were estimated and the state-space model of mobile robot was obtained by the substitution of the estimated parameters into the mathematical model. The transfer function of the mobile robot is applied to generate the root-locus diagram used for the estimation of the gains of the PID controller. The attitude control method including a PID controller, non-linear elements, and integral saturation prevention was designed and simulated. The experiment was conducted by applying the method to the mobile robot. In the attitude control experiment, the performance of attitude recovery from ±12° tilted initial state with a settling time of 0.98s and a percent overshoot of 40.1% was obtained. Furthermore, the attitude maintaining robustness against disturbance was verified.

scholarly journals A Method for Attitude Control Based on a Mathematical Model for an Inverted Pendulum-Type Mobile Robot

2016 ◽  
Vol 6 (1) ◽  
pp. 198
Author(s):  
Jin-Ho Yoon ◽  
Myung-Jin Chung
Keyword(s):  
Mathematical Model ◽  
Mobile Robot ◽  
Attitude Control ◽  
Pid Controller ◽  
Inverted Pendulum ◽  
Control Method ◽  
State Space Model ◽  
Initial State ◽  
Estimated Parameters ◽  
Linear Elements

A method for attitude control based on a mathematical model for an inverted pendulum-type mobile robot was proposed. The inverted pendulum-type mobile robot was designed and the mathematical modeling was conducted. The parameters of the mobile robot were estimated and the state-space model of mobile robot was obtained by the substitution of the estimated parameters into the mathematical model. The transfer function of the mobile robot is applied to generate the root-locus diagram used for the estimation of the gains of the PID controller. The attitude control method including a PID controller, non-linear elements, and integral saturation prevention was designed and simulated. The experiment was conducted by applying the method to the mobile robot. In the attitude control experiment, the performance of attitude recovery from ±12° tilted initial state with a settling time of 0.98s and a percent overshoot of 40.1% was obtained. Furthermore, the attitude maintaining robustness against disturbance was verified.

Optimization of Satellite Momentum Wheel Control System Based on Genetic Programming

2013 ◽  
Vol 748 ◽  
pp. 771-778
Author(s):  
Yu Song Huang ◽  
Yun Feng Dong
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Genetic Programming ◽  
Design Process ◽  
Attitude Control ◽  
Control Method ◽  
Complex Structure ◽  
Control Law ◽  
Reaction Wheel ◽  
The Mathematical Model

Due to reliability requirements, the reaction wheel actuator of the satellite attitude control system always use traditional control method. For the satellite which has complex structure, it's difficult to build the mathematical model with classical control method. The selection of control parameters is also difficult. The design process last long and the model have poor adaptability when the parameters change. Compare to genetic algorithms, genetic programming which have the capabilities to evolve automatically, have the advantage of being able to optimize the structure of the mathematical model. Results of optimization and simulation show that design the reaction wheel actuator control law with genetic programming can simplify the design process. And the evolved control law is better than traditional PD control law.

Development of Two-Wheeled Balancing Scooter

2013 ◽  
Vol 339 ◽  
pp. 16-21
Author(s):  
Surachai Panich
Keyword(s):  
Mathematical Model ◽  
Pid Controller ◽  
Inverted Pendulum ◽  
Electronic Circuit ◽  
Nonlinear Behavior ◽  
Vertical Line ◽  
Angle Error ◽  
Zero Degree ◽  
Gyroscope Sensor ◽  
The Mathematical Model

In this paper, the design and construction of two-wheeled balancing scooter based on principle of the inverted pendulum that it must keep an angle of zero degree due to vertical line in time. The mechanical structure, electronic circuit and algorithm are developed to control motors and gyroscope sensor is used as detector of angle error due to vertical line. The mathematical model to describe the dynamic behavior of balancing system is analyzed, which stabilizes the handle angle of scooter in stable position. A basic implementation of the PID controller is conducted to compensate nonlinear behavior.

Identification and Model Predictive Position Control of Two Wheeled Inverted Pendulum Mobile Robot

2015 ◽  
Vol 73 (6) ◽  
Author(s):  
Amir A. Bature ◽  
Salinda Buyamin ◽  
Mohamad N. Ahmad ◽  
Mustapha Muhammad ◽  
Auwalu A. Muhammad
Keyword(s):  
Mathematical Model ◽  
System Identification ◽  
Mobile Robot ◽  
Inverted Pendulum ◽  
Position Control ◽  
Superior Performance ◽  
System A ◽  
Wheeled Inverted Pendulum ◽  
Simulation Results ◽  
Real Plant

In order to predict and analyse the behaviour of a real system, a simulated model is needed. The more accurate the model the better the response is when dealing with the real plant. This paper presents a model predictive position control of a Two Wheeled Inverted Pendulum robot. The model was developed by system identification using a grey box technique. Simulation results show superior performance of the gains computed using the grey box model as compared to common linearized mathematical model. 

Time Domain Hydroelastic Analysis of a Flexible Marine Structure Using State-Space Models

2007 ◽  
Author(s):  
Reza Taghipour ◽  
Tristan Perez ◽  
Torgeir Moan
Keyword(s):  
Mathematical Model ◽  
State Space ◽  
Time Domain ◽  
State Space Model ◽  
Realization Theory ◽  
Regular Waves ◽  
Alternative State ◽  
Marine Structure ◽  
Hydroelastic Analysis ◽  
The Mathematical Model

This article deals with time-domain hydroelastic analysis of a marine structure. The convolution terms in the mathematical model are replaced by their alternative state-space representations whose parameters are obtained by using the realization theory. The mathematical model is validated by comparison to experimental results of a very flexible barge. Two types of time-domain simulations are performed: dynamic response of the initially inert structure to incident regular waves and transient response of the structure after it is released from a displaced condition in still water. The accuracy and the efficiency of the simulations based on the state-space model representations are compared to those that integrate the convolutions.

Optimization Control of the Bullwhip Effect in Supply Chain Inventory

2014 ◽  
Vol 945-949 ◽  
pp. 3187-3190
Author(s):  
Hai Dong ◽  
Jin Hua Liu ◽  
Liang Yu Liu
Keyword(s):  
Mathematical Model ◽  
Supply Chain ◽  
Control Theory ◽  
Inventory Control ◽  
Pid Controller ◽  
Bullwhip Effect ◽  
Control Gain ◽  
Optimization Control ◽  
Suitable Combination ◽  
The Mathematical Model

The bullwhip effect was caused by fuzzy demand among the enterprises. In order to reduce this effect, control theory was applied to solve the inventory in supply chain. Firstly, inventory control in supply chain and the bullwhip effect was researched. Secondly, a kind of proportional integral differential (PID) controller was developed for inventory control in a three-level supply chain, and the mathematical model of the PID controller for inventory control was presented. Finally, the results show that the PID controller can evidently alleviate the bullwhip effect and inventory fluctuations under the suitable combination of control gain.

scholarly journals Development of attitude control system for hybrid airship vehicle

2018 ◽  
Vol 7 (4.13) ◽  
pp. 99
Author(s):  
Azizi Malek ◽  
M F Sedan ◽  
A S M Harithuddin
Keyword(s):  
Control System ◽  
Attitude Control ◽  
Pid Controller ◽  
Control Mechanism ◽  
Attitude Control System ◽  
Flight Tests ◽  
Aerial Vehicle ◽  
The Mathematical Model ◽  
Monitoring Software ◽  
Acquisition Method

This paper documents and presents the development of attitude control system of Hybrid Airship Unmanned Aerial Vehicle (HAU) that should be able to change its attitude condition based on the response processed from the provided input. This is accomplished by data acquisition method that retrieves data from a flight controller and processes it into the control system without looking in deep on the mathematical model of the airship. Besides that, PID controller is used in order to create a good stable response for the hybrid airship. A working hybrid airship prototype was successfully developed and built, which is five meters in length and has four propellers that is symmetrically distanced to each other. A quadcopter attitude control mechanism is adopted into the hybrid airship to allow for good hovering capability and direct pure attitude control. Outdoor flight tests have been conducted to prove its stability in responding to attitude input given to the hybrid airship attitude controller. A data monitoring software is also written to make the data observation on the behaviour of the hybrid airship response to be easier and understandable. Result demonstrates that the hybrid airship does response to pitch, roll and yaw input from the operator, albeit the lack response stability and speed which can be improved in conservative continuation of research on the airship attitude control system.  

scholarly journals Modeling and Optimal Controller Based on Disturbance Detector for the Stabilization of a Three-link Inverted Pendulum Mobile Robot

Electronics ◽  
2020 ◽  
Vol 9 (11) ◽  
pp. 1821
Author(s):  
Luis Alfonso Jordán-Martínez ◽  
Maricela Guadalupe Figueroa-García ◽  
José Humberto Pérez-Cruz
Keyword(s):  
Mathematical Model ◽  
Mobile Robot ◽  
Nonlinear Model ◽  
Direct Current ◽  
Inverted Pendulum ◽  
Experimental Tests ◽  
Optimal Controller ◽  
Stabilization Problem ◽  
Lagrange Equations ◽  
Direct Measurements

This work presents the realization of a complicated stabilization problem for a three inverted pendulum links-based mobile robot. The actuators of the mobile robot are direct current motors that have tachometer couplings to measure both the position and speed of the wheels and links. Using direct measurements under load and analyzing the deceleration curve, the motor parameters are determined experimentally. A mathematical model of the robot is obtained via the Euler–Lagrange equations. Next, the nonlinear model is linearized and discretized. Based on this discrete LTI model, an optimal controller is designed. The states and disturbances are estimated using a robust detector. Both the controller and detector are implemented in the robot processor. Numerical simulations and experimental tests show a good performance of the controller despite the presence of disturbances.

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