一类多变时滞线性系统的状态观测器设计  

Design of State Observer for One Class Linear Systems with Multi-variable Time Delays

作　　者：耿彦峰[1] 

机构地区：[1]忻州师范学院数学系,山西忻州034000

出　　处：《长春师范学院学报（自然科学版）》2013年第1期29-32,共4页Journal of Changchun Teachers College

摘　　要：本文讨论了一类多变时滞线性系统的状态观测器设计问题,根据李雅普诺夫稳定性理论,给出相应误差系统渐近稳定的判据,由此得到满足多变时滞线性系统状态观测器的一个充分条件。并通过一个具体实例仿真,验证了本文结果的有效性。The problem of design of state observer for a class of linear systems with multi-variable time delays is discussed, then a criterion for asymptotical stability of the corresponding error system is proposed according to Lyapunov stability theories, by which a sufficient condition of state observer for the linear systems with multi-variable time delays is obtained. Finally, an illustrative example is used to demonstrate the validity of the proposed design of state observer.

关 键 词：线性时滞系统 状态观测器 LYAPUNOV函数 稳定性 

分 类 号：O193[理学—数学]