摘要：AbstractThis paper proposes a method of stability analysis for a type of sliding-mode controlled systems influenced by additive Gaussian white noises. The objective requires to develop the analysis of trajectories at the former sliding surfaces, which were invariant sets before influenced by noises. The analysis also calls for the assistance of stochastic Lyapunov-type stability analysis based on stochastic Lyapunov candidate functions without smoothness at the surfaces. After defining stability properties and deriving their sufficient conditions, the validity of the stability analysis is confirmed by constructing a design procedure for stochastic sliding-mode controllers for simple linear systems with additive Gaussian white noises. The controllers are also discussed in the viewpoints of chattering phenomena and optimality.
关键词：KeywordsStochastic controlLyapunov stabilitysliding-mode controlwhite noisesingular control
