PID CONTROLLERS DESIGN FOR MIMO PLANTS WITH TIME SPECIFICATIONS LMI-APPROACH

In this paper we present a synthesis method for stabilizing PID controllers with time domain constraints in the case of MIMO systems. The controller dynamics are fixed a priori. The time domain constraints are expressed using an equality between the moments of the closed loop system and those of a reference model. The linear matrix inequality formalism is used in this paper. An example is given to illustrate the proposed method.