scholarly journals Laboratory Stand for Simplified Verification of Missile Dynamics for Didactic Purposes

Author(s):  
Adam Rowicki ◽  
Grzegorz Kopecki

Abstract The purpose of this study was to describe dynamics of missile based on bibliography, simplify the model to the easiest form, and verify it with the use of a designed laboratory stand. Next, a simple control system of the missile was designed. The stand is prepared for didactic purposes. A mathematical model was derived by applying Newton's second law together with the earth's coordinate system and the base coordinate system. Parameters of the actual rocket model were determined using the created laboratory stand. Synthesis of the rocket roll system was designed using Simulink PID Tuner application (MathWorks, Inc. Natick, Massachusetts, USA). A control system was based on a proportional-integral (PI) regulator. The designed control system was subjected to simulated tests in MATLAB Simulink (MathWorks, Inc. Natick, Massachusetts, USA).

2021 ◽  
Author(s):  
Martin Beník ◽  
◽  
Ľubomír Kováčik

In this article, we focus on the movement of the parachutist from the jump from the plane to the impact on the ground. By creating a mathematical model based on Newton's second law, we create simulations, based on which we can determine whether the movement of a parachutist after jumping from a plane is a "free fall", or whether the action of forces and his position in the air affects the direction of his flight.


2016 ◽  
Vol 8 (5) ◽  
pp. 540-547
Author(s):  
Tomas Eglynas ◽  
Audrius Senulis ◽  
Marijonas Bogdevičius ◽  
Arūnas Andziulis ◽  
Mindaugas Jusis

The main control object of Quay crane, which is operating in seaport intermodal terminal cargo loading and unloading process, is the crane trolley. One of the main frequent problem, which occurs, is the swinging of the container. This swinging is caused not only by external forces but also by the movement of the trolley. The research results of recent years produced various types of control algorithms by the other researchers. The control algorithms are solving separate control problems of Quay crane in laboratory environment. However, there is still complex control algorithm design and the controller’s parameter estimation problems to be solved. This paper presents mathematical model of the Quay crane trolley mechanism with the suspended cargo. The mathematical model is implemented in Matlab Simulink environment and using Dormand-Prince solving method. The presented model of laboratory quay crane mathematical model is dedicated to parameter estimation of PID controller of closed loop system with the usage of S –form speed input profile. The article includes the dynamic model of the presented system, the description of closed loop system and modeling results. These results will be used as an initial information for the PID parameters estimation in real quay crane control system. The simu-lation of the model was performed using estimated values of controller. The sway influence of the cargo, the usage of the trolley speed input S-shaper and the PID controller was used to control the trolley speed. Jūriniame įvairiarūšiame terminale atliekant konteinerių krovos procesus, vienas iš krantinės kranų valdymo objektų yra vežimėlis. Viena iš problemų, su kuria susiduriama dažniausiai, yra konteinerio svyravimai, kuriuos, be išorinių veiksnių, taip pat sukelia ir vežimėlio judėji-mas. Remdamiesi paskutinių kelerių metų tyrimais, mokslininkai sukūrė įvairių valdymo algoritmų, kurie laboratorinėmis sąlygomis spren-džia atskiras krantinės kranų valdymo problemas. Tačiau kompleksinių ir efektyvių valdymo algoritmų ir jų valdymo sistemos parametrų nustatymo metodai vis dar kuriami ir tobulinami. Šiame darbe sudarytas krantinės krano vežimėlio su kabančiu kroviniu mechanizmo sis-temos matematinis modelis. Šis modelis realizuotas Matlab Simulink aplinkoje ir sprendžiamas taikant Dormand-Prince metodą. Sukurtas laboratorinio krantinės krano valdymo sistemos kompiuterinis modelis skirtas uždarosios valdymo sistemos PID valdiklio parametrams nustatyti, kai užduoties signalui taikomas S formos greičio kitimo profilis. Darbe pateiktas sistemos dinaminis modelis, aprašyta uždaroji valdymo sistema, pateikti kompiuterinio modeliavimo rezultatai, kuriuos planuojama panaudoti kaip pradinę informaciją realaus krano PID valdiklio parametrams derinti. Atlikta simuliacija naudojant nustatytas vertes ir įvertinti krovinio svyravimai taikant S formos greičio kitimo profilį kartu su PID valdikliu vežimėlio greičiui valdyti.


2014 ◽  
Vol 518 ◽  
pp. 290-296 ◽  
Author(s):  
Tu Xu ◽  
Cui Fang Zhang

Linear flexible inverted pendulum is a very good platform for testing control algorithm. A new algorithm will usually be used to control linear inverted pendulum in order to detect its control performance. Before that, you need to know the exact mathematical model of the inverted pendulum. Known modeling of multi-level linear flexible inverted pendulum used Newton's second law, in the case of ignoring the mass obtained, therefore, there are imprecise situation. Here the use of Lagrange equations with dissipation function, consider the quality of the mass of the multi-level linear flexible inverted pendulum modeling to obtain a more accurate mathematical model.


REAKTOR ◽  
2017 ◽  
Vol 5 (2) ◽  
pp. 54
Author(s):  
M. Djaeni ◽  
Suherman Suherman ◽  
K. Jalasanti ◽  
R. R. Mukti

The research looks into the performance of Proportional (P), Proportional Integral (PI), and Proportional Integral Derivative (PID) controller to maintain soap concentration. To facilitate the study, the mathematical model of saponification process is derived using information cited from literature. Then the model is validated using experimental data. Based on model, the control system using Proportional (P), Proportional Integral (PI) and Proportional Integral Derivative (PID) are designed. In this case, the constant of each controller is tuned using Ziegler Nichols method. The result showed that the PID controller with Integral Square Error (ISE) of 5,77936 E-08 isthe strongest for disturbance rejection among the others. The performance of PID controlleris also good for set point tracking with ISE of 1.28227 E-05.Key words : control, mathematical model, simulation, saponification


2020 ◽  
Vol 14 (3) ◽  
pp. 33-38
Author(s):  
D. Yu. Pavkin ◽  
E. A. Nikitin ◽  
V. A. Zobov

Assessing the robotization level of technological processes in livestock complexes based on the breeding, authors found that the most free niche of robotization of technological processes in livestock complexes is the feeding process, which forms 55 percent of milk productivity. There is a need to develop a wheeled robotic platform that will ensure the availability of the feed mixture along the feeding front. This platform will multi-stage saturate the bulky components of the feed mixture with concentrated ones, increasing their attractiveness to animals, while normalizing the balance of dry matter consumed and fiber obtained from bulky feeds.(Research purpose) To simulate the control system of a robotic platform with an independent electro- motorized drive.(Materials and methods) The article presents technologies for organizing animal feeding processes on the farm, conducted a technological assessment of the effectiveness of automated and robotic machines used on the farm. Authors used the Matlab/Simulink simulation environment in the research process.(Results and discussion) The article presents a developed mathematical model describing the kinematics and dynamics of the platform movement. Authors formed the assumed element base into a general model of the robot in an artificial Matlab/Simulink environment, simulating the process of moving around a circle.(Conclusions) The created mathematical model forms the basis for creating a control system for the robot under development. The device for dosing feed additives will ensure the balance of dry matter and fiber consumed.


2011 ◽  
Vol 110-116 ◽  
pp. 2577-2584 ◽  
Author(s):  
M. Akhil ◽  
M. Krishna Anand ◽  
Aditya Sreekumar ◽  
P. Hithesan

Quad rotor vehicles are gaining prominence as Unmanned Aerial Vehicles (UAVs) owing to their simplicity in construction and ease of maintenance. They are being widely developed for applications relating to reconnaissance, security, mapping of terrains and buildings, etc. The control of the quad rotor is a complex problem. As a precursor to developing a model based design, the simulation of the mathematical model of the quad rotor is implemented. This will facilitate easier implementation of the model based design using Matlab Simulink©.


2014 ◽  
Vol 592-594 ◽  
pp. 2145-2149 ◽  
Author(s):  
D. Saravanakumar ◽  
B. Mohan

Pneumatic drives have many advantages over other actuators in terms of efficiency and safety which enable them to be used in many applications. In the present study, a new method of position manipulator with two pneumatic cylinders which are interconnected has been presented. Nonlinear mathematical model of the system has been formulated. Using Matlab-Simulink software, the system has been simulated. Fuzzy based control system has been designed for the system. From the various responses and indices it is observed that the fuzzy based control system has better performance than PID based control system. Also it is observed that the system with fuzzy controller has better setpoint tracking characteristics.


2021 ◽  
Vol 1105 (1) ◽  
pp. 012004
Author(s):  
R H Ali Faris ◽  
A A Ibrahim ◽  
N B Mohamad wasel ◽  
M M Abdulwahid ◽  
M F Mosleh

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