带有不确定量的Lipschitz非线性中立型时滞系统的稳定性分析和观测器设计

Stability Analysis and Observer Design for Lipschitz Nonlinear Neutral-Type Delay System with Uncertainties

涉及一类带有不确定量的Lipschitz非线性中立型时滞系统性分析和观测器设计.关注的问题是设计一全维观测器以确保误差系统二次稳定.通过利用矩阵正定分解,矩阵的奇异值分解,解线性矩阵不等式和广义逆定理,根据一些自由参数所希望设计的观测器然后被导出.

This paper is concerned with the stability analysis and the observer design for Lipschitz nonlinear neutral-type delay systems with uncertainties. The Problem presented is to design a full-order observer to guarantee quadratic stability of the error. By using the matrix positive definite decomposition,matrix singular value decomposition generalized inverse theorem,and solving the linear matrix inequality,an explicit expression of the desired observer is derived in the light of some free parameters.