Design of delay observer-based controllers for uncertain time-lag systems
Design of delay observer-based controllers for uncertain time-lag systems
复制标题
DOI：
10.1155/s1024123x99001027
复制
发表时间：
1999-12
影响因子：
--
通讯作者：
M. Mahmoud;M. Zribi
中科院分区：
文献类型：
--
作者：
M. Mahmoud;M. Zribi
研究了一类具有输入滞后和状态滞后的不确定系统的观测器和基于观测器的控制器的设计问题。我们构造了延迟型观测器，其中同时利用了瞬时和延迟测量。利用基于重构状态的反馈控制，研究了闭环系统的行为。证明了基于时滞观测器控制的不确定时滞系统是渐近稳定的。基于两个线性矩阵不等式，给出了增益矩阵的表达式。给出了一个数值例子来说明理论的发展。
In this paper, the problem of designing observers and observer-based controllers for a class of uncertain systems with input and state time lags is considered. We construct delay-type observers in which both the instantaneous as well as the delayed measurements are utilized. Using feedback control based on the reconstructed state, the behavior of the closed-loop system is investigated. It is established that the uncertain time-lag system with delay observer-based control is asymptotically stable. Expressions for the gain matrices are given based on two linear-matrix inequalities. A numerical example is given to illustrate the theoretical developments.