Robust stability analysis of predictive PID controller

A new method of input and output robust stability analysis of a predictive PID control is discussed, when the controller's parameters is uncertainty, aim at a predictive PID control which integrate predictive control with PID control technique. Translating the robust stability analysis of predictive PID control into Hurwitz stability of characteristic polynomial of continuum system. The largest process parameters range which make a FOPDT system has stability is given. The result demonstrate that this predictive PID control has better robust stability when the process parameters are far away from the best value.