Transient response improvement of predictive control under time domain constraints

In this paper, a novel predictive controller design approach within augmented structure base on convex optimization of an extra parameter is proposed in order to improve the transient response of discrete-time linear systems subject to input constraints. This methodology starts with the conception of an initial stabilizing predictive controller which ensures a fast closed loop response to the detriment of the other response specifications indexes (settling time, settling error, overshoot and control signal). Then, this controller is redesigned off-line using linear programming solver to meet a certain transient response specifications of the closed loop system determined before the design as time domain constraints. The resulting controlled output will track the reference as fast and as smooth as possible with a low energy consumption. Two examples are given to show the effectiveness of the developed controller.