关键词: 变结构系统, 最优控制, 分离原则

Abstract: An approach of variable structure optimal control for stochastic linear continuous systems whose measurement noise is Gaussian white noise is presented. The principle of separation is proven from design of sliding modes and selection of control variable. Therefore, the design of variable structure control and optimal estimation of state variables can be investigated seperately. Thus, it simplifies the design of variable structure control for stochastic systems. In this paper,the design of an aircraft control system is discussed using above method as illustration and numerical simulation is done.

Key words: variable structure system, optimal control, separation, principle