研究了一类具有马尔可夫切换的随机非线性系统的输出反馈镇定问题.利用非线性增益观测器设计方法,结合反推技术, 设计了输出反馈控制器,保证了闭环系统几乎处处有唯一解且闭环系统是几乎处处渐近稳定的.数值仿真验证了输出反馈控制器的有效性.

This paper investigates the output-feedback stabilization for a class of stochastic nonlinear systems with Markovian switching. By using the nonlinear-gain observer design method and backstepping technique, an output-feedback controller is constructed to guarantee that the closed-loop system has a unique solution almost surely and is almost surely asymptotically stable. The efficiency of the output-feedback controller is demonstrated by a simulation example.