研究了带有时变不确定性的Ito型随机系统的输出反馈镇定问题,采用变结构滑模控制(SMC)方法设计了镇定控制器.在系统的不确定性满足一定匹配条件的情况下,构造了对不确定性具有不变性以及参数不含噪声激励的滑模切换流形和变结构滑模控制律,分析和证明了滑模的可达性和闭环系统的稳定性,并给出了滑模控制律的参数选择条件.最后通过示例系统仿真实验证明了文中结果的正确性和有效性.
The paper aims at the problem of output-feedback-based stabilizing control of an Ito's stochastic system with time-varying uncertainties,and at the design of a robust stabilization controller mainly adopting variable-structure sliding-mode control(SMC) techniques.By presupposing the system uncertainties satisfying certain matching conditions,a sliding-mode switching manifold and a SMC law are proposed,which are invariable to the structural uncertainties and possess the parameters without stochastic noise.Then,the accessibility of the sliding mode and the stability of the closed-loop system are analyzed,and some necessary conditions are further obtained to select the parameters for the SMC law.By the simulation of an illustrative example system, the correctness and effectiveness of the proposed controlling scheme are finally verified.