Introducing a simple adaptive controller (Azadi controller) based on positive feedbacks

This research work was devoted to present a novel adaptive controller which uses just three parameters. Simplicity of this controller due to having just three parameters makes this controller very applicable. One advantage of this controller with a PID controller is its flexibility to adjust due to system variations. This controller uses with three parameters two negative stable feedbacks with a positive unstable positive feedback. The positive feedback causes the plant to do the break, therefore reaching the desired trajectory with tiny overshoots. However, the two other negative feedback gains controls the plant in two other sides of positive feedback, making the system to be stable, and controlling the steady-state, and transient responses. This controller was performed for some nonlinear systems, and some comparison such as fuzzy controller was also made. Simulation results indicate that the proposed controller can perform well in the presence of system variations. Therefore, the novel adaptive controller, having just three parameters can be a good substitute for many other controllers for complex systems.