چكيده به لاتين
The main purpose of the thesis is to design a constrained optimal tracker controller for a
fractional-order system in the presence of disturbance. The way has chosen to achieve this
purpose is to design a model predictive controller for the fractional-order system.
The model predictive control method is an online optimal method with the ability to consider
constraints. In the family of MPCs, different methods have been proposed to deal with the
effect of disturbance, and as well as to ensure the convergence of system modes to the desired
value. This control method is a model-based method, which has an accurate system model,
increases the chances of success of this method.
To model the system, we went to fractional order calculators. Using fractional-order calculators
to model systems causes modeling accuracy, and that leads us to optimism.
The use of these calculators has been considered by engineers in recent decades, and this is
because it provides more accurate modeling, despite the complexity of more than just correct
order calculators, and it allows us to control systems with a more accurate model and more
accurate controllers, with less error and cost.
The state-space model of fractional order systems are models with infinite dimensions, and this
eliminates the possibility of simulation. In this research, by adopting a method, the original
system is written as LTI system with limited dimensions, and bounded disturbance with the
band is known and for the obtained model, a Tube-based predictive controller in tracking mode
is designed.
The proposed controller can steer the output of the fractional-order system to any feasible
state, and if it is not possible to achieve this set point with respect to constraints, the controller
will lead the system output to a closer set point. This is possible by adding an artificial steady
state as the decision variable. Robust constraint satisfaction and output
