摘要
研究一类离散非线性系统的观测器设计问题,基于Schur补引理和Lyapunov稳定性定理,提出一类离散非线性系统的观测器设计方法.证明了在适当条件下,提出的观测器保证观测误差渐近趋于零.进一步,提出了基于观测器一类离散非线性系统的反馈控制器设计方法.并给出在反馈控制的作用下相应闭环系统达到稳定的充分条件.
The problem of designing observers for a class of discrete-time nonlinear systems is studied.Based on Schur lemma and Lyapunov stability theory,the approach of observer design for a class of discrete-time nonlinear systems is presented.Under appropriate conditions,it is proved that observer proposed assured that the observation error asymptotically converges to zero,Furthermore,feedback design for a class of discrete-time nonlinear systems is considered based on the observer,and sufficient condition is derived to ensure the stability of the considered system under the action of feedback control.
基金
安徽工程大学青年科研基金资助项目(2009yq033)
关键词
离散非线性系统
观测器
反馈
稳定
discrete-time nonlinear system
observer
feedback
stability.
