Lipschitz非线性系统状态观测器设计新方法  

A new design method of state observer for Lipschitz nonlinear systems

作　　者：明廷涛[1] 张永祥[1] 孙云岭[1] 张西勇[1] 

机构地区：[1]海军工程大学船舶与动力学院,武汉430033

出　　处：《海军工程大学学报》2008年第3期104-108,共5页Journal of Naval University of Engineering

摘　　要：针对Lipschitz非线性系统状态观测器,提出了一种以极小化条件数为目标准则的新的设计方法。运用梯度下降法和Slyvester方程,计算极小化条件数,优化增益矩阵和最大允许Lipschitz常数,完成观测器设计。通过同其它文献的算例比较,结果发现按文中方法设计的观测器具有迭代次数少、优化结果好的特点。This paper presented a new design method of state observer for Lipschitz nonlinear systems, aiming at the minimization of condition number. A systematic computational procedure for minimization of condition number was developed based on the gradient flow algorithm and Slyvester equation. The observer gain matrix and the allowable maximum Lipschitz constant were optimized by using this method. By comparing numerical example with other papers, the result reveals that simple computation and well design are the characteristics of the observer.

关 键 词：状态观测器 LIPSCHITZ非线性系统 极小化条件数 梯度下降法 Slyvester方程 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]