LQ and dead beat control combination from the set of stabilizing controllers

Stability is the first demand of the feedback control design. The parametrization of all stabilizing controllers is standard theory. The stabilizing controller has some free parameters which can be used for further optimization. Linear Quadratic (LQ) control and Dead Beat control are standard algorithms for optimal control of discrete time models of real systems. The dead beat control results in very large input signals which are not realizable. The LQ control is widely used, because enables to tune the criterion to our requirements. In this paper the combination of both tuning algorithms is presented. The dead beat control algorithm has a unique solution. To enlarge number of steps gives us free parameters which can be used for the optimization of LQ criterion.