一类链式系统部分变元渐近稳定、有限时间稳定观测器设计

Partially asymptotically stable and finite-time stable observer design for a class of chained systems

设计了链式系统部分变元渐进稳定、有限时间稳定观测器。给出了链式系统部分变元渐近稳定观测器和部分变元有限时间稳定观测器的定义,构造部分变元渐近稳定观测器和部分变元有限时间稳定观测器,利用齐次理论和Lyapunov稳定理论证明观测误差的渐近收敛性和有限时间收敛性。仿真结果验证了该方法的有效性。

Partially asymptotically stable observer and finite-time observer for a class of chained systems were designed. The definition of partially asymptotically stable observer and finite-time observer for the chained systems were presen- ted. Then, the partially asymptotically stable observer and finite-time observer were constructed respectively. By theo- ries of homogeneity and Lyapunov stability, the asymptotical stability and finite-time stability of the observation errors were proved. At last, the validity of the method was demonstrated by a numerical example.