基于Razumikhin方法的三阶非线性时变时滞系统的输出反馈镇定  

Razumikhin-type Approach on Output Feedback Control of Third-order Nonlinear Systems with Time-varying Delay

作　　者：庄迪 王天成 ZHUANG Di;WANG Tiancheng(School of Mathematics and Statistics Science,Ludong University,Yantai 264039,China)

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264039

出　　处：《鲁东大学学报（自然科学版）》2022年第1期27-33,共7页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(11371226)。

摘　　要：本文研究一类带有时变时滞的三阶非线性系统,在Razumikhin方法和反推设计思想的基础上,通过构造观测器和Lyapunov函数,设计系统的输出反馈控制器。为了去掉时滞导数的限制条件,本文使用Razumikhin方法,对系统进行更直接的分析。分析结果表明,所设计的控制器使系统的平衡点全局渐近稳定。最后,用仿真实例验证控制方案的有效性。In this paper,a class of third-order nonlinear system with time-varying delay was studied.Based on Razumikhin method and backstepping design idea,the output feedback controller was designed by constructing observer and Lyapunov function.In order to get rid of the constraints on the delay derivatives,the Razumikhin method was used to analyze the system more directly.The results show that the designed controller makes the equilibrium point globally asymptotically stable.Finally,a simulation example was given to verify the effectiveness of the control scheme.

关 键 词：时变时滞 Razumikhin定理 LYAPUNOV函数 输出反馈 反推设计方法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]