Bresse系统的内部时滞控制器的设计

Design of Controller of a Bresse System with Delayed Control

研究具有内部分布时滞控制的Bresse系统镇定问题．目标是设计反馈控制器使得闭环系统指数稳定．不同于以前的控制器设计方法，文章采用系统反馈等价方法，通过设计目标系统，应用系统等价方法寻找反馈控制律．利用具有奇异积核的积分变换，实现了当前控制系统与目标系统的等价．所应用的方法克服了通常反馈控制闭环系统的稳定性分析的困难．

In this paper, we consider the stabilization problem of the Bresse system with internal delayed control. Our aim is to design the feedback controller such that the closed loop system stabilizes exponentially. Different from the existing design approaches, we employ the system equivalence to find a feedback control law via constructing a target system. We find a transform which contains Singular kernel that establishes an equivalent relationship between the target system and our delayed control system. Compared with other existing methods, our method overcomes the difficulty in stability analysis of the closed loop system.