Adaptive PID control design based on generalized predictive control (GPC)

Since generalized predictive control (GPC) has been introduced, it has been known as an effective tool for the control of many practical systems. In the mean time, the PID controller has always been considered as the most acceptable control technique in the industrial community. Therefore, the underlying practical problem and the aim of this work is to design a PID controller which is equivalent to a GPC controller and incorporates the advantages of both PID and GPC. The PID parameters are estimated based on a predesigned generalized predictive control (GPC). The presented technique can be used both in the adaptive/nonadaptive context. The new technique provides the same performance when tested with various systems with no restrictions on the system order or type.