Observers for the class of differentiable Lipschitz nonlinear systems

摘要：

In this paper, the full-order and reduced-order observer design for a class of so-called differential Lipschitz nonlinear systems is investigated. Based on the differential mean value theorem (DMVT) and an important matrix inequality, we propose suf.cient conditions for the existence of the observers of the class of nonlinear systems. The proposed suf.cient conditions are given in terms of linear matrix inequalities (LMIs). We obtain a suf.cient condition which is less conservative than those given in literature for reduced-order observer design of a class of nonlinear systems. By comparison with Zemouche et al. Observers for a class of Lipschitz systems with extension to H∞ performance analysis, System & Control Letters, 57 (2008), 18-27 the proposed approach avoids solving high-order LMI. The solvability of the proposed LMI is better than that of the matrix inequality given in literature. Some examples are given to illustrate the proposed approach.

关键词： Nonlinear system Observer design Linear matrix inequality (LMI) Differential mean value theorem (DMVT)

作者: Fengbao Xu Mingyue Xu Qingxin Zhou

作者单位: College of Mathematics Science, Harbin Normal University, Harbin, 150025, China Basic Science College, Harbin University of Commerce, Harbin, 150028, China

会议类型: 国际会议

会议名称: The 31st Chinese Control Conference(第三十一届中国控制会议)

会议地点: 合肥

会议语种:英文

页码: 72-75

在线出版日期: 2012-07-01（万方平台首次上网日期，不代表论文的发表时间）