一类随机非线性系统的输出反馈镇定

Output-Feedback Control of a Class of Stochastic Nonlinear Systems

针对一类随机非线性系统的输出反馈镇定问题,首先利用反推技术和设计有效的观测器,为其对应的标称系统设计稳定的输出反馈控制器;然后通过有效的坐标变换,并选择恰当的高增益参数,利用高增益齐次占优技术,为整个系统设计了光滑的输出反馈控制器.所设计的控制器能够保证闭环系统的平衡点是依概率全局渐近稳定的.上述过程的主要贡献是将现有文献中经常使用的线性增长条件推广到更一般的增长条件,得到更一般化的结果.数值仿真例子验证了控制方案的有效性.

For the output-feedback stabilization of a class of stochastic nonlinear systems,a stabilizing output feedback controller was designed for its corresponding nominal system via backstepping with an effective observer designed.Then,an effective coordinate transformation was introduced with an appropriate high-gain parameter chosen,and a smooth output-feedback controller was designed via the high gain homogeneous domination technique for the whole system,thus ensuring that the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability.What the process mentioned above contributes is mainly making the conditions for linear growth as often shown in earlier works more generalizable so as to enable the result to be more general.The efficiency of the output-feedback controller is verified by a numerical simulation as example.