State feedback control design for 2-d GSSM with delays under the disturbance attenuation objective

摘要

In this paper, we deal with the control design of the 2-d general state space model with delays, in which the delayless model is called in the literature the general state space model for 2-d linear digital system. The aim is to establish a state feedback controller yielding a feedback system endowed with the disturbance attenuation characteristic. To accomplish it, we propose a Lyapunov function, which allows us to solve the problem on the grounds of the linear matrix inequality (LMI) formalism.