A NEW DILATED LMI CHARACTERIZATION AND ITERATIVE CONTROL SYSTEM SYNTHESIS

This paper presents a new iterative design procedure for multiobjective and structurally constrained feedback control. The proposed design procedure is based on new dilated LMI characterizations for the system properties, such as H2, H∞ norms and D-stability. The key idea of the new dilated LMI characterizations is divisions of A and B matrices in descriptor representation of systems. This paper also proposed to linearize the products of controller parameter K and auxiliary variable G by assigning the auxiliary variables instead of the change of variables technique. This linearization technique is effective from the viewpoints of computational complexity and accuracy.