Adaptive State-feedback Stabilization for More General High-order Stochastic Nonlinear Systems
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摘要: 对一类高阶次随机非线性系统, 其中函数fi(·) 的上界 除依赖状态x1,...,x2 and z外还依赖状态xi+1, 研究了自适应状态反馈镇定. 我们设计一种光滑的自适应状态反馈镇定控制器, 它保证了比换系统有一个几乎处处唯一解, 平衡点是以概率全局稳定的. 一个数值例子验证了这种系统化的设计及控制器的有效性.Abstract: An adaptive state-feedback stabilization is investigated for a class of high-order stochastic nonlinear systems in which the upper bound of the function fi(·) depends on the state xi+1 besides the states x1,...,x2 and z. A smooth adaptive state-feedback controller is designed, which guarantees that the closed-loop system has an almost surely unique solution, and the equilibrium is globally stable in probability. A numerical imulation example is given to show the systematic design and the effectiveness of controller.
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