Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article New Dilated LMI Characterization for the Multiobjective Full-Order Dynamic Output Feedback | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010 Article ID 608374 21 pages doi 2010 608374 Research Article New Dilated LMI Characterization for the Multiobjective Full-Order Dynamic Output Feedback Synthesis Problem Jalel Zrida1 2 and Kamel Dabboussi1 2 1 Ecole Superieure des Sciences et Techniques de Tunis 5 Taha Hussein Boulevard BP 56 Tunis 1008 Tunisia 2 Unite de Recherche SICISI Ecole Superieure des Sciences et Techniques de Tunis 5 Taha Hussein Boulevard BP 56 Tunis 1008 Tunisia Correspondence should be addressed to Kamel Dabboussi dabboussi_k@ Received 23 April 2010 Revised 17 August 2010 Accepted 17 September 2010 Academic Editor Kok Teo Copyright 2010 J. Zrida and K. Dabboussi. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. This paper introduces new dilated LMI conditions for continuous-time linear systems which not only characterize stability and H2 performance specifications but also H performance specifications. These new conditions offer in addition to new analysis tools synthesis procedures that have the advantages of keeping the controller parameters independent of the Lyapunov matrix and offering supplementary degrees of freedom. The impact of such advantages is great on the multiobjective full-order dynamic output feedback control problem as the obtained dilated LMI conditions always encompass the standard ones. It follows that much less conservatism is possible in comparison to the currently used standard LMI based synthesis procedures. A numerical simulation based on an empirically abridged search procedure is presented and shows the advantage of the proposed synthesis methods. 1. Introduction The impact of linear matrix inequalities on the systems community has been so great that it dramatically changed forever the usually utilized
