摘要
利用随机系统的齐次占优技术和反推设计技术,研究了一类上三角随机时变时滞非线性系统的输出反馈镇定问题.通过选择恰当的Lyapunov函数和设计有效的观测器,并结合Lyapunov稳定性理论设计了输出反馈控制器,该控制器确保了整个系统的平衡点为依概率全局渐近稳定的.最后的仿真算例证明了所提输出反馈控制器方案的有效性和可行性.
The problem of output-feedback stabilization of a class of upper-triangular stochastic nonlinear system with time-varying delay was studied by using the homogeneous domination technique and backstepping technique.By choosing suitable Lyapunov functional,designing effective observer and combining Lyapunov stability theorem,an output-feedback controller was designed.The controller ensures that the equilibrium point of the whole system is globally asymptotically stable in probability.Finally,a simulation example showes the effectiveness and feasibility of the designed output-feedback controller.
作者
井青翠
王天成
JING Qingcui;WANG Tiancheng(School of Mathematics and Statistics Science,Ludong University,Yantai 264039,China)
出处
《鲁东大学学报（自然科学版）》
2018年第2期112-119,共8页
Journal of Ludong University:Natural Science Edition
基金
国家自然科学基金(11371226)
关键词
时变时滞
上三角随机非线性系统
输出反馈
齐次占优
time-varying delay
upper-triangular stochastic nonlinear systems
output-feedback
homogeneous domination
