关键词: Itô, 型随机系统, 输出反馈, 变结构滑模控制, 滑模切换流形

Abstract:

The paper aims at the problem of output-feedback-based stabilizing control of an Itô'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.

Key words: Itô's stochastic system, output feedback, variable-structure sliding-mode control, sliding-mode switching manifold