Robust Stabilization for a class of Uncertain Descriptor Systems via both Proportional and Derivative State Feedback

摘要：

Firstly, the problem of robust stability is studied for a class of descriptor systems with structured uncertainties, whose nominal systems are normalizable. With linear matrix inequality (LMI), the equivalent existence condition of both proportional and derivative (P-D) state feedback is given, which results in the optimization problem. Furthermore, a necessary and sufficient condition of robust quadratic stabi lization will be obtained by introducing a fictitious input and a useful lemma. Finally, based on the equivalent condition, two algorithms for robust stabilizing controller are derived by solving the corresponding LMIs.

关键词： uncertain linear descriptor systems robust quadratic stabilization proportional and derivative(P-D) state feedback linear matrix inequality(LMI)

作者: Hui Tian Yangfang Hou

作者单位: School of Mathematics and Information Science Henan Polytechnic University Jiaozuo, China School of Computer Science and Technology Henan Polytechnic University Jiaozuo, China

会议类型: 国际会议

会议名称: 2009 Second International Conference on Intelligent Computation Technology and Automation(2009 第二届IEEE智能计算与自动化国际会议 ICICTA 2009)

会议地点: 长沙

会议语种:英文

页码: 874-877

在线出版日期: 2009-10-10（万方平台首次上网日期，不代表论文的发表时间）