scholarly journals Design, Modeling, and Control of a Portable Leg Rehabilitation System

2017 ◽  
Vol 139 (7) ◽  
Author(s):  
Khaled M. Goher ◽  
Sulaiman O. Fadlallah
Keyword(s):  
Mathematical Model ◽  
Pid Controller ◽  
Modeling And Control ◽  
Spiral Dynamics ◽  
Best Response ◽  
Significant Difference ◽  
Rehabilitation System ◽  
Portable System ◽  
And Control ◽  
The Mathematical Model

In this work, a novel design of a portable leg rehabilitation system (PLRS) is presented. The main purpose of this paper is to provide a portable system, which allows patients with lower-limb disabilities to perform leg and foot rehabilitation exercises anywhere without any embarrassment compared to other devices that lack the portability feature. The model of the system is identified by inverse kinematics and dynamics analysis. In kinematics analysis, the pattern of motion of both leg and foot holders for different modes of operation has been investigated. The system is modeled by applying Lagrangian dynamics approach. The mathematical model derived considers calf and foot masses and moment of inertias as important parameters. Therefore, a gait analysis study is conducted to calculate the required parameters to simulate the model. Proportional derivative (PD) controller and proportional-integral-derivative (PID) controller are applied to the model and compared. The PID controller optimized by hybrid spiral-dynamics bacteria-chemotaxis (HSDBC) algorithm provides the best response with a reasonable settling time and minimum overshot. The robustness of the HSDBC–PID controller is tested by applying disturbance force with various amplitudes. A setup is built for the system experimental validation where the system mathematical model is compare with the estimated model using system identification (SI) toolbox. A significant difference is observed between both models when applying the obtained HSDBC–PID controller for the mathematical model. The results of this experiment are used to update the controller parameters of the HSDBC-optimized PID.

Dynamic Modeling and Control Techniques for a Quadrotor

2019 ◽  
pp. 20-66
Author(s):  
Heba Elkholy ◽  
Maki K. Habib
Keyword(s):  
Pid Controller ◽  
Degrees Of Freedom ◽  
Sliding Mode ◽  
Dynamic Performance ◽  
Simulation Environment ◽  
Modeling And Control ◽  
Controller Gain ◽  
Aerial Vehicle ◽  
And Control ◽  
The Mathematical Model

This chapter presents the detailed dynamic model of a Vertical Take-Off and Landing (VTOL) type Unmanned Aerial Vehicle (UAV) known as the quadrotor. The mathematical model is derived based on Newton Euler formalism. This is followed by the development of a simulation environment on which the developed model is verified. Four control algorithms are developed to control the quadrotor's degrees of freedom: a linear PID controller, Gain Scheduling-based PID controller, nonlinear Sliding Mode, and Backstepping controllers. The performances of these controllers are compared through the developed simulation environment in terms of their dynamic performance, stability, and the effect of possible disturbances.

Dynamic Modeling and Control Techniques for a Quadrotor

2015 ◽  
pp. 408-454
Author(s):  
Heba Elkholy ◽  
Maki K. Habib
Keyword(s):  
Pid Controller ◽  
Degrees Of Freedom ◽  
Sliding Mode ◽  
Dynamic Performance ◽  
Simulation Environment ◽  
Modeling And Control ◽  
Controller Gain ◽  
Aerial Vehicle ◽  
And Control ◽  
The Mathematical Model

This chapter presents the detailed dynamic model of a Vertical Take-Off and Landing (VTOL) type Unmanned Aerial Vehicle (UAV) known as the quadrotor. The mathematical model is derived based on Newton Euler formalism. This is followed by the development of a simulation environment on which the developed model is verified. Four control algorithms are developed to control the quadrotor's degrees of freedom: a linear PID controller, Gain Scheduling-based PID controller, nonlinear Sliding Mode, and Backstepping controllers. The performances of these controllers are compared through the developed simulation environment in terms of their dynamic performance, stability, and the effect of possible disturbances.

scholarly journals Modeling and Control of Irrigation Systems: A Short Survey and Future Directions

2019 ◽  
Vol 2 (3) ◽  
pp. 1036-1042
Author(s):  
Meric Cetin ◽  
Selami Beyhan
Keyword(s):  
Mathematical Model ◽  
Prediction Methods ◽  
Control Methods ◽  
Irrigation Systems ◽  
Future Directions ◽  
Modeling And Control ◽  
Model Based Control ◽  
The World ◽  
And Control ◽  
The Mathematical Model

Modeling and control of irrigation systems has importance for the yield of the crops and especially, saving the water sources has prominent importance for the world. In this paper, recent modeling and control methods for the irrigation systems are surveyed for the future applications. Even though a mathematical model is constructed for the amount of water in soil, there are too many unpredictable disturbances on the irrigation systems so that the mathematical model cannot be exact. Therefore, the accuracy of the literature control methods is less than expected results. As a solution, the unknown model-based control methods and also accurate prediction methods are going to be promising approaches for irrigation systems in future.

scholarly journals Mathematical model of the pneumatic actuator follower system

2021 ◽  
Vol 279 ◽  
pp. 01009
Author(s):  
Denis Medvedev ◽  
Vyacheslav Grishhenko ◽  
Viktor Martynov ◽  
Evgeniy Ivliev ◽  
Yurii Korol’kov
Keyword(s):  
Mathematical Model ◽  
Pid Controller ◽  
Tracking System ◽  
Technological Equipment ◽  
Pneumatic Actuators ◽  
Power And Control ◽  
Actuator System ◽  
And Control ◽  
The Mathematical Model ◽  
Qualitative Characteristics

The article considers a method of controlling the motion of the output links of the tracking system of pneumatic actuators of technological equipment actuators. Dynamic and qualitative characteristics are improved by means of proportional-integral-differential (PID) controller. The mathematical model of actuator system, which includes power and control parts, has been developed. By calculation experiment the dynamic characteristics of the actuator have been obtained, from which it has been found possible to reduce the energy consumed by the actuator system to about 30%.

A prey–predator model and control of a nematodes pest using control in banana: Mathematical modeling and qualitative analysis

2021 ◽  
pp. 2150089
Author(s):  
Sudhakar Yadav ◽  
Vivek Kumar
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Local Stability ◽  
Detection Method ◽  
Initial Release ◽  
Pest Detection ◽  
Predator Model ◽  
And Control ◽  
The Mathematical Model ◽  
Theoretical Results

This study develops a mathematical model for describing the dynamics of the banana-nematodes and its pest detection method to help banana farmers. Two criteria: the mathematical model and the type of nematodes pest control system are discussed. The sensitivity analysis, local stability, global stability, and the dynamic behavior of the mathematical model are performed. Further, we also develop and discuss the optimal control mathematical model. This mathematical model represents various modes of management, including the initial release of infected predators as well as the destroying of nematodes. The theoretical results are shown and verified by numerical simulations.

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.

Effect and Simulation on Control System of Boiler Parameters

2013 ◽  
Vol 411-414 ◽  
pp. 1711-1715
Author(s):  
Bing Hua Jiang ◽  
Li Fang ◽  
Hang Biao Guo
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Temperature Control ◽  
Pid Controller ◽  
Static Stability ◽  
Temperature Control System ◽  
Integrated Process ◽  
And Control

In this paper, taking integrated process and control platform as the background , did the research on mathematical model of boiler liner and parameters on the performance of the control system. First, created a mathematical model of the temperature of the boiler liner. Second, selected the PID controller to control the temperature control system in the case of the PID controller parameters remained unchanged. Finally, changed the boiler parameters, analyzed and compared the simulation waveforms of different boiler parameters in order to get the conclusion that different parameters had different influence on the static stability of the temperature control system and the temperature control system had anti-jamming capability.

Study of Topology and Control Strategy of the Bidirectional Energy Storage Converter Based on Three-Level

2013 ◽  
Vol 397-400 ◽  
pp. 1169-1173
Author(s):  
Hong Wei Tang ◽  
Xi Kun Chen ◽  
Yan Xia Gao
Keyword(s):  
Mathematical Model ◽  
Energy Storage ◽  
Control Strategy ◽  
Lithium Battery ◽  
Decoupling Control ◽  
Midpoint Potential ◽  
Simulation Results ◽  
And Control ◽  
The Mathematical Model ◽  
Battery Module

To adapt to the requirements of the charging and discharging of the lithium battery, the paper presents a three-level based bidirectional energy storage converter topology.It has strong adaptability and can manage the charge and discharge of multi-series and parallel battery module. The mathematical model of the converter is analyzed, and the two operation modes of the converter control strategy are studied; Analysis the feed-forward decoupling control of three-level rectifier, and the variable scale factor is used to control midpoint potential. The simulation results demonstrate the feasibility of the design.

A Control System on Soil Temperature

2014 ◽  
Vol 599-601 ◽  
pp. 673-679
Author(s):  
Shi Guo Chen ◽  
Li Hua Hu ◽  
Dong Sheng Wu ◽  
Xue Yong Chen
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Soil Temperature ◽  
Control Algorithm ◽  
Soil Ecology ◽  
Control Soil ◽  
Pid Algorithm ◽  
And Control ◽  
The Mathematical Model

The soil’s temperature plays an important role of soil ecology research. In order to gain and control soil’ temperature. A control system is proposed for soil’s temperature. And a new control algorithm which is based on the PID algorithm is designed in the control system to handle the complex change of the soil’s temperature. It does not need to know the mathematical model of soil’s temperature. At last, the control result is analyzed in this paper. The result shows that the soil’s temperature is controlled ideal by this control system which is accurate to 0.5°C.

scholarly journals Modeling and Control of Crane Overload Protection During Marine Lifting Operation Based on Model Predictive Control

2017 ◽  
Author(s):  
Zhengru Ren ◽  
Roger Skjetne ◽  
Zhen Gao
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Pid Controller ◽  
Degrees Of Freedom ◽  
Multiple Shooting ◽  
Control Input ◽  
Lumped Mass ◽  
Modeling And Control ◽  
Overload Protection ◽  
And Control

This paper deals with a nonlinear model predictive control (NMPC) scheme for a winch servo motor to overcome the sudden peak tension in the lifting wire caused by a lumped-mass payload at the beginning of a lifting off or a lowering operation. The crane-wire-payload system is modeled in 3 degrees of freedom with the Newton-Euler approach. Direct multiple shooting and real-time iteration (RTI) scheme are employed to provide feedback control input to the winch servo. Simulations are implemented with MATLAB and CaSADi toolkit. By well tuning the weighting matrices, the NMPC controller can reduce the snatch loads in the lifting wire and the winch loads simultaneously. A comparative study with a PID controller is conducted to verify its performance.

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