摘要
论文主要研究为一类Lipschitz非线性系统设计全维和降维观测器.基于微分中值定理和一个重要的矩阵不等式,研究了这类非线性系统观测器存在的充分条件,并且以线性矩阵不等式的形式给出,所得结论至少是已有文献的补充.此外,获得的充分条件要比文献中这类非线性系统降维观测器的设计方法要减少保守性.同文献[1]相比,避免了解高阶线性矩阵不等式,而且线性矩阵不等式的可解性也更优于已有文献中矩阵不等式的可解性.最后,仿真算例验证了结论的有效性.
In this paper, the full and reduced - order observer design for a class of Lipschitz nonlinear systems is investigated. Based on the differential mean value theorem (DMVT) and an important matrix inequality, sufficient conditions for the existence of the observers of the class of nonlinear systems are proposed. The proposed sufficient conditions are given in terms of linear matrix inequalities (LMIs), and they are complements of the sufficient conditions given in literature at least. In addition, a sufficient condition which is less conservative than those given in literature for reduced - order observer design of a class of nonlinear systems is obtained. By comparison with referece [ 1 ], the proposed approach avoids solving high - order LMI. The solvability of the p examples are given to illustrate the LMI is better than that of the matrix inequality given in literature. Some proposed approach
出处
《哈尔滨师范大学自然科学学报》
CAS
2011年第5期8-12,共5页
Natural Science Journal of Harbin Normal University