Study On Robustness Of Generalized Predictive Control With Disturbance

In the paper the history and state of Generalized Predictive Control is summarized. The principle of predictive control is introduced briefly. In view of the importance of solving Diophantine equation for generalized predictive control, the details of its deriving algorithm are discussed and the flow algorithm based on computer-solving is given correspondingly. On the basis, the following contributions are made in this paper:Firstly, the closed-loop feedback structure of Generalized Predictive Control (GPC) is proposed. Based on the closed-loop polynomial of GPC the choice of tuning parameters on robustness is analyzed in frequency domain. Show the common law of choosing control parameters.Secondly, in the paper, the discussion about disturbance rejection properties of GPC is provided in the form of internal model control structure. Minimum gain theory is used to obtain a sufficient condition for the robust stability of GPC. It is demonstrated that the use of observer polynomial T can give enhanced robustness against high frequency noise and disturbance.Thirdly, analysis of robustness of GPC is based on internal model control structure (IMC). The paper presents an effective approach to examine the robust stability of GPC with structured uncertainties, and to show the uncertainty range of the parameters.