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考虑了一类具有稳定零动态观测器特征型随机非线性系统的输出反馈镇定问题.应用一系列的状态变换,将系统转化为下三角结构以便于应用积分反推设计方法设计控制器.设计了输出反馈控制器,证明了闭环系统的概率意义下的有界性.当扰动向量场在原点处消逝时,闭环系统为概率意义下渐近稳定.此控制器还满足非线性系统的平衡条件.
Consider a class of output feedback stabilization problem for a class of stochastic nonlinear systems with stochastic observer. A series of state transformations are applied to transform the system into a lower triangular structure so that the controller can be designed by using integral backstepping design. The output feedback controller proves the boundedness of the closed-loop system in the sense of probability. When the disturbance vector field disappears at the origin, the closed-loop system is asymptotically stable in the sense of probability. The controller also satisfies the equilibrium condition of the nonlinear system.