Synthesis of innite-dimensional observers for innite-dimensional vibrating systems
报告题目：Synthesis of innite-dimensional observers for innite-dimensional vibrating systems
报告人: Cheng-Zhong Xu, 法国Lyon大学教授
报告时间地点：2017.5.23 10:00--11:00数学院南楼210教室
报告摘要：In this talk we present the problem of synthesis of innite-dimensional obser-
vers for innite-dimensional systems.We describe innite-dimensional Luenberger-
like observers for innite-dimensional vibrating systems in the framework of
abstract regular systems and study the situation where only boundary mea-
surement is available. Exponential convergence of the Luenberger-like ob-
servers is proved in a general abstract framework by the Lyapunov direct
method. In particular explicit Luenberger observers are worked out for some
Euler-Bernoulli elastic beam system. By regularity and exact observability
exponential convergence of the designed observers is shown to be true. An
estimate of the observer convergence rate is established depending on the
structure parameters of the observed system, which is a desirable property
for practical applications. A constructive spectrum assignment method is
proposed to assign the observer convergence rate by a second step design.
