Multiobjective controller synthesis for parameter dependent descriptor systems via dilated LMI characterizations

This paper proposes dilated LMI characterizations of admissibility, D-admissibility, H_¿ and H₂ norms for continuous-time descriptor systems. These dilated LMIs achieve less conservative results when dealing with robust admissibility/performance analysis of affine parameter-dependent descriptor systems. Furthermore, based on these conditions, the paper presents an iterative design procedure for multiobjective state feedback control of parameter dependent descriptor systems. The main idea underlying the proposed method is to linearize the products of controller parameter K and the auxiliary variable G by assigning a part of G. When initializing the proposed algorithm, the assignment takes into account an explicit characterization of G. The effectiveness of the proposed conditions and design method is shown through some numerical examples.