一类上三角随机非线性系统的输出反馈控制  

Output-feedback control of a class of upper-triangular stochastic nonlinear systems

作　　者：李武全[1] 吴昭景[2] 王会[1] 

机构地区：[1]鲁东大学数学与信息学院,山东烟台264025 [2]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《控制与决策》2012年第10期1494-1498,1504,共6页Control and Decision

基　　金：国家自然科学基金项目(61104128;60974028;10971256;71101066)

摘　　要：针对一类上三角随机非线性系统的输出反馈控制问题,首先利用反推技术,为其对应的标称系统设计稳定的输出反馈控制器;然后利用低增益齐次占优技术,为整个系统设计输出反馈控制器.所设计的控制器能保证闭环系统的平衡点为依概率全局渐近稳定的,并将低增益齐次占优技术推广到了随机系统,首次解决了一类上三角随机系统的镇定问题.最后通过数值仿真验证了所提出控制方案的有效性.For the output-feedback control of a class of upper-triangular stochastic nonlinear systems, by using backstepping design method, a stabilizing output feedback controller is designed for its corresponding nominal system. Then by using the low gain homogeneous domination technique, an output-feedback controller is constructed for the whole system to ensure that the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability. The low gain homogeneous domination technique is generalized to stochastic systems, which can solve the stabilization problem for a class of upper-triangular stochastic nonlinear systems for the first time. Finally, a simulation example shows the effectiveness of the control scheme.

关 键 词：上三角随机非线性系统 输出反馈 低增益 齐次占优 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]