Control design for discrete-time linear systems using enhanced LMI conditions

The paper provides a new modification of the enhanced linear matrix inequality conditions in the state-space control design for discrete-time linear systems. This feasible task is formulated using a descriptor approach as an enhanced algorithm which is suitable for the closed-loop control structure stability verification and applicable for design of the control law matrix parameter. In relation to other existing methods, the proposed method maintains the principle of decoupling Lyapunov matrix and system matrix parameters but additionally, by extending the set of inequalities, relieves bond between the matrix variables.