H∞ Control in Middle Frequency for 2D continuous systems

In this paper, the problem of H
_∞
control for 2D continuous systems described by Roesser model in middle frequency domain is proposed. Our aim is to design a new H
_∞
state feedback control with new conditions in middle frequency domains. To achieve better control performance of the system in middle frequency, the H
_∞
index for attenuating the unknown middle frequency disturbance is guaranteed by generalized Kalman-Yakubovich-Popov lemma. Then the stability and robustness conditions are converted into linear matrix inequality forms which can be solved directly by convex optimization technique. In simulation section, illustrative example is provided to show the usefulness and potential of the proposed method.