Adaptive control for high-order uncertain stochastic nonlinear systems
不确定高次随机非线性系统的自适应控制

The adaptive global stabilization problem is studied for a class of high-order stochastic nonlinear systems driven by noise of unknown covariance and with nonlinear parameterization. Based on the method of adaptive adding a power integrator and using the technique of parameter separation, a feedback domination design approach is presented and a smooth adaptive controller is constructed which ensures for the closed-loop system the global stability in probability, and the states can be regulated to zero almost surely. A simulation example is given to illustrate the effectiveness of the control scheme.