Discrete-time state feedback control design for linear systems

Abstract

The paper provides modifications of the bounded real lemma application in the state feedback control design for discrete-time linear systems. This feasible task is formulated as an enhanced algorithm, applicable in the closed-loop control structure stability analyze and suitable in design of the control law matrix parameters. In relation to existing forms, the proposed method maintains the principle of Lyapunov matrix decoupling, proposed the comparable structures of the linear matrix inequalities while maintaining bonds among the variables.