Matlab simulation of an ETIC for a fractional order system.
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Description
Experience Level: Entry
Matlab simulation of an event-triggered impulsive control (ETIC) for a fractional order system:
A fractional order system is a mathematical model that represents a system with non-integer order parameters. It is widely used in various fields such as physics, engineering, and biology to describe systems that are not completely linear and exhibit complex behavior. In this project, we will simulate an event-triggered impulsive control (ETIC) for a fractional order system.
Event-triggered impulsive control is a control strategy that combines the benefits of traditional control theory with the advantages of impulsive control. It is particularly useful for systems that are sensitive to delays and have non-linear dynamics. In ETIC, a controller is designed to trigger an action at a specific event, such as the occurrence of a disturbance or the reaching of a threshold. This action is then used to adjust the system's state and control its behavior.
The fractional order system that we will simulate is modeled using the Caputo fractional derivative, which is a well-known method for modeling non-linear systems. The system's dynamics (without control ) are defined by the following differential equation:
D^{q}x(t)=f(t,x), x\in R^3, q\in(0,1), in our case q=0.81
.
A fractional order system is a mathematical model that represents a system with non-integer order parameters. It is widely used in various fields such as physics, engineering, and biology to describe systems that are not completely linear and exhibit complex behavior. In this project, we will simulate an event-triggered impulsive control (ETIC) for a fractional order system.
Event-triggered impulsive control is a control strategy that combines the benefits of traditional control theory with the advantages of impulsive control. It is particularly useful for systems that are sensitive to delays and have non-linear dynamics. In ETIC, a controller is designed to trigger an action at a specific event, such as the occurrence of a disturbance or the reaching of a threshold. This action is then used to adjust the system's state and control its behavior.
The fractional order system that we will simulate is modeled using the Caputo fractional derivative, which is a well-known method for modeling non-linear systems. The system's dynamics (without control ) are defined by the following differential equation:
D^{q}x(t)=f(t,x), x\in R^3, q\in(0,1), in our case q=0.81
.
Mohamed O.
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18 Sep 2021
Saudi Arabia
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1. Which programming language would you prefer? Matlab code or Simulink?
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