tailieunhanh - Báo cáo hóa học: " Research Article An Equivalent LMI Representation of Bounded Real Lemma for Continuous-Time Systems"

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 An Equivalent LMI Representation of Bounded Real Lemma for Continuous-Time Systems | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2008 Article ID 672905 8 pages doi 2008 672905 Research Article An Equivalent LMI Representation of Bounded Real Lemma for Continuous-Time Systems Wei Xie College of Automation Science and Technology South China University of Technology Guangzhou 510641 China Correspondence should be addressed to Wei Xie weixie@ Received 17 September 2007 Accepted 10 January 2008 Recommended by Ondrej Dosly An equivalent linear matrix inequality LMI representation of bounded real lemma BRL for linear continuous-time systems is introduced. As to LTI system including polytopic-type uncertainties by using a parameter-dependent Lyapunov function there are several LMIs-based formulations for the analysis and synthesis of HTO performance. All of these representations only provide us with different sufficient conditions. Compared with previous methods this new representation proposed here provides us the possibility to obtain better results. Finally some numerical examples are illustrated to show the effectiveness of proposed method. Copyright 2008 Wei Xie. 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. 1. Introduction In the past two decades 1 Ito theory is one of the most sophisticated frameworks for robust control system design. Based on bounded real lemma BRL Hto norm computation problem can be transferred into a standard linear matrix inequality optimization formulation which includes the product of the Lyapunov function matrix and system matrices. A number of more or less conservative analysis methods tests are presented to assess robust stability and performance for linear systems with quadratic Lyapunov-function-based results 1 where a fixed quadratic Lyapunov function is found to prove stability and performance of .