scholarly journals Design, Simulation, Analysis and Optimization of PID and Fuzzy Based Control Systems for a Quadcopter

Electronics ◽  
2021 ◽  
Vol 10 (18) ◽  
pp. 2218
Author(s):  
Isaac S. Leal ◽  
Chamil Abeykoon ◽  
Yasith S. Perera
Keyword(s):  
Control System ◽  
Control Systems ◽  
Simulation Analysis ◽  
Unmanned Vehicles ◽  
Modern World ◽  
Simulation And Optimization ◽  
Military Applications ◽  
Non Linear ◽  
The Stability ◽  
Fuzzy Pd

Unmanned aerial vehicles or drones are becoming one of the key machines/tools of the modern world, particularly in military applications. Numerous research works are underway to explore the possibility of using these machines in other applications such as parcel delivery, construction work, hurricane hunting, 3D mapping, protecting wildlife, agricultural activities, search and rescue, etc. Since these machines are unmanned vehicles, their functionality is completely dependent upon the performance of their control system. This paper presents a comprehensive approach for dynamic modeling, control system design, simulation and optimization of a quadcopter. The main objective is to study the behavior of different controllers when the model is working under linear and/or non-linear conditions, and therefore, to define the possible limitations of the controllers. Five different control systems are proposed to improve the control performance, mainly the stability of the system. Additionally, a path simulator was also developed with the intention of describing the vehicle’s movements and hence to detect faults intuitively. The proposed PID and Fuzzy-PD control systems showed promising responses to the tests carried out. The results indicated the limits of the PID controller over non-linear conditions and the effectiveness of the controllers was enhanced by the implementation of a genetic algorithm to autotune the controllers in order to adapt to changing conditions.

Investigation of the stability of periodic motions in a nonlinear automatic control system based on the fast fourier transform

2003 ◽  
Vol 3 ◽  
pp. 297-307
Author(s):  
V.V. Denisov
Keyword(s):  
Fourier Transform ◽  
Control System ◽  
Automatic Control ◽  
Fast Fourier Transform ◽  
Automatic Control System ◽  
Resonance Phenomenon ◽  
Periodic Motions ◽  
Multiply Connected ◽  
Non Linear ◽  
The Stability

An approach to the study of the stability of non-linear multiply connected systems of automatic control by means of a fast Fourier transform and the resonance phenomenon is considered.

scholarly journals A Mechanical Feedback Classification of Linear Mechanical Control Systems

2021 ◽  
Vol 11 (22) ◽  
pp. 10669
Author(s):  
Marcin Nowicki ◽  
Witold Respondek
Keyword(s):  
Control System ◽  
Control Systems ◽  
Lagrangian Systems ◽  
Stabilization Problem ◽  
Mechanical Control ◽  
Stability And Stabilization ◽  
The Stability ◽  
Mechanical Change ◽  
Feedback Classification

We give a classification of linear nondissipative mechanical control system under mechanical change of coordinates and feedback. First, we consider a controllable case that is somehow a mechanical counterpart of Brunovský classification, then we extend the result to all linear nondissipative mechanical systems (not necessarily controllable) which leads to a mechanical canonical decomposition. The classification of Lagrangian systems is given afterwards. Next, we show an application of the classification results to the stability and stabilization problem and illustrate them with several examples. All presented results in this paper are expressed in terms of objects on the configuration space Rn only, while the state-space of a mechanical control system is Rn×Rn consisting of configurations and velocities.

Research of Immune Controllers

2011 ◽  
pp. 262-303
Author(s):  
Fu Dongmei
Keyword(s):  
Control System ◽  
Immune System ◽  
B Cells ◽  
Control Systems ◽  
Artificial Immune System ◽  
General Structure ◽  
Engineering Application ◽  
Error Characteristic ◽  
Artificial Immune ◽  
The Stability

In engineering application, the characteristics of the control system are entirely determined by the system controller once the controlled object has been chosen. Improving the traditional controller or constructing the new controller is an unfading study field of control theory and application. The control system is greatly enriched and developed by this way. As a complicated self-adaptable system, the biological immune system can effectively and smoothly stand against antigens and viruses intruded into organism. It is possible to improve the self-learning, adaptive and robustness capability of the control system through embedded an artificial immune controller in control system. Based on the biological immune mechanism and artificial immune model, this chapter attempts to study the immune controller design and application in traditional control system..First, a kind of artificial immune controller is proposed based on the T-B cells immunity. The boundedness and the stability of SISO control systems, which constructed by the artificial immune controller, are proved by the little gain theorem. A general controller structure frame based on the T-B cells immunity is proposed, which includes the same kind of controller proposed previously. The validity of this artificial immune controller is verified by simulation. Second, a new type of artificial immune controllers is constructed according to a simple double-cell immune dynamics model. The non-error characteristic of SISO control systems, which constructed by the artificial immune controller, is proved by the nonlinear theory in this chapter. The I/O stability and no-error characteristic of the system are verified by simulations, which show that the kind of artificial immune system have good anti-lag capability. Third, the Varela immune network model has been improved based on which an artificial immune system is proposed. The odd linearization method of the non-linear system is used to prove the stability and non-error characteristic of the SISO system constructed by the artificial immune control system. Its I/O stability, non-error characteristic and strong anti-lag capability are also verified by simulation. Finally, based on the comparison of the three kinds of immune controllers, a general structure of the artificial immune controller is proposed. The further study on this field is indicated in this chapter lastly.

scholarly journals The Design of Robust Controller for Networked Control System with Time Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Zhongda Lu ◽  
Lijing Wang ◽  
Fengbin Zhang ◽  
Fengxia Xu
Keyword(s):  
Control System ◽  
Time Delay ◽  
Control Systems ◽  
Networked Control Systems ◽  
System Modeling ◽  
Networked Control System ◽  
Networked Control ◽  
Loop Model ◽  
The Stability ◽  
System With Time Delay

This paper considers the stability andH∞control problem of networked control systems with time delay. Taking into account the influence of network with delay, unknown input disturbance, and uncertainties of the system modeling, meanwhile we establish a precise, closed-loop model for networked control systems with time delay. By selecting a proper Lyapunov-Krasovskii function and using Lyapunov theorem, a sufficient condition for stability of the system in the form of LMI is demonstrated, corresponding controller parameters are acquired, and the convergence of the control algorithm is proved. The simulation example shows that the construction of the network robust control system with time delay indeed improves the stability performance of the system, which indicates the effectiveness of the design.

scholarly journals An active electromagnetic stabilization of the Leipholz column

2012 ◽  
Vol 22 (2) ◽  
pp. 161-174 ◽  
Author(s):  
Tomasz Szmidt ◽  
Piotr Przybyłowicz
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Control System ◽  
Control Systems ◽  
Transverse Displacement ◽  
Safe Operation ◽  
Electromagnetic Actuators ◽  
Active Stabilization ◽  
The Stability ◽  
Galerkin's Procedure

An active electromagnetic stabilization of the Leipholz column We study the application of electromagnetic actuators for the active stabilization of the Leipholz column. The cases of the compressive and tensional load of the column placed in air and in water are considered. The partial differential equation of the column is discretized by Galerkin's procedure, and the stability of the obtained control system is evaluated by the eigenvalues of its linearization. Four different methods of active stabilization are investigated. They incorporate control systems based on feedback proportional to the transverse displacement of the column, its velocity and the current in the electromagnets. Conditions in which these strategies are effective in securing safe operation of the column are discussed in detail.

Simulation Analysis of Non-Linear Fuzzy PID Temperature Controller

2013 ◽  
Vol 465-466 ◽  
pp. 677-681 ◽  
Author(s):  
Ling Yuen Ang ◽  
Fairul Azni Jafar
Keyword(s):  
Pid Controller ◽  
Fuzzy Controller ◽  
Simulation Analysis ◽  
Fuzzy Pid ◽  
Proportional Integral Derivative ◽  
Integral Term ◽  
Temperature Controller ◽  
Non Linear ◽  
The Stability

The objectives of the project are to simulate linear Mamdami type fuzzy temperature controller and non-linear Takegi-Sugeno type fuzzy temperature controllers using MATLAB and Simulink, and to compare the performance between the two controllers. A case study has been created to test the controllers involved a water boiler, where the system is modeled using Joules Law and Law of Thermodynamics. A Proportional-Integral-Derivative (PID) controller was tuned and the PID parameters were then used to obtain the gain of the fuzzy controllers. Simulation results confirmed that non-linear fuzzy controller has smaller overshoot and faster settling time compared to the linear fuzzy controller and PID controller, although an extra derivative gain may be needed for the non-linear fuzzy controller if the integral term is huge enough to affect the stability of the system.

Simulation and Optimization Research of Multi-Stud Tensioning Machine Controlled by Servo Valve

2013 ◽  
Vol 664 ◽  
pp. 871-877
Author(s):  
Xiao Dong Tan ◽  
Wei Ji ◽  
Zhi Bo Luan
Keyword(s):  
Dynamic Characteristics ◽  
Pid Controller ◽  
Simulation Analysis ◽  
Mathematic Model ◽  
Hydraulic Cylinder ◽  
Simulation And Optimization ◽  
Hydraulic Cylinders ◽  
Hydraulic Servo ◽  
Hydraulic Servo System ◽  
The Stability

In this paper, we base on the simulation analysis of the electro-hydraulic servo system about dual hydraulic cylinders parallel driving Multi-Stud Tensioning Machine, focus on the dynamic characteristics of a single hydraulic cylinder (asymmetric hydraulic cylinder), make use of Matlab Simulink module to carry on to imitate, and design a PID controller to correct the system. The results of simulation prove correctness of the system mathematic model, and the stability of the system is obviously improved.

Effect of Reference Height Control System on CPG Networks for Quadruped Hopping Robot

2013 ◽  
Vol 313-314 ◽  
pp. 498-502
Author(s):  
A.M. Kassim ◽  
M.Z.A. Rashid ◽  
M.R. Yaacob ◽  
N. Abas ◽  
T. Yasuno
Keyword(s):  
Control System ◽  
Feedback Control ◽  
Control Systems ◽  
Feedback Loop ◽  
Engineering Application ◽  
Pi Controller ◽  
Feedback Control System ◽  
Height Control ◽  
Hopping Robot ◽  
The Stability

In this paper, the collaboration of CPG networks with the feedback control system which are composed with the maximum hopping height detector and the Proportional Integral (PI) controller as an engineering application for the CPG network is proposed with the developed control systems. By adding the feedback loop through the feedback controller, the developed quadruped hopping robot not only can generate the continuous hopping performances but also can control the desired hopping height. As the result, the effectiveness of CPG networks to keep the stability of the developed quadruped hopping robot besides of confirming the validity of using reference height control system to generate hopping capability at different reference height, respectively.

Simulation and Application of Fuzzy Control System with Integrator

2011 ◽  
Vol 418-420 ◽  
pp. 1825-1828
Author(s):  
Ping Li ◽  
Chang Feng Yan ◽  
Ling Ke Zeng ◽  
Xiao Su Cheng
Keyword(s):  
Control System ◽  
Fuzzy Control ◽  
Control Systems ◽  
Practical Experience ◽  
System Stability ◽  
Static Error ◽  
Fuzzy Control System ◽  
Simulation Results ◽  
The Stability

This article simulated fuzzy control system by using MATLAB and compared the normal fuzzy control system with the fuzzy control system which has an integrator. Further more, the influence of quantize factors, proportional factors and integral constants on system was studied. The simulation results show that static error always exists in normal fuzzy control systems and proportional factors influence the stability of the system greatly. Put an integrator into a fuzzy control system, and static error can be eliminated and the system stability can be improved. The conclusion of simulation and practical experience, use fuzzy control system with integrator in reality. It can get good results.

Design of robots driven by linear servo systems

Robotica ◽  
1992 ◽  
Vol 10 (4) ◽  
pp. 361-368 ◽  
Author(s):  
P. Minotti ◽  
P. Pracht
Keyword(s):  
Numerical Simulations ◽  
Control Systems ◽  
Dynamic Behavior ◽  
Robotic Manipulators ◽  
Control Problems ◽  
Servo Systems ◽  
Dynamic Decoupling ◽  
Non Linear ◽  
The Stability

SUMMARYThe performance of robotic manipulators is limited by the nature of the control systems which do not satisfactorily integrate the non-linear phenomena associated with the dynamic behavior of the mechanisms. The significant variations in the axial inertias lead to control problems and require an optimization of the mechanical structures in order to improve the stability of the manipulators. This paper proposes mechanical solutions in the domain of dynamic decoupling of robots and demonstrates, using numerical simulations the value of these solutions in terms of control.

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