Control of discrete-time linear systems constrained in output by equality constraints

In this paper, we consider the problem of design of stabilizing control for linear discrete-time systems, reflecting equality constraint tying together chosen output variables. The design conditions are outlined in the terms of linear matrix inequalities. The LMI based algorithm proposed in this paper is computationally simple and connected with Lyapunov stability theory. The approach is illustrated on simulation examples, where the validity of the proposed method is demonstrated.