Robust Control of Stochastic Systems Against Bounded Disturbances With Application to Flight Control

This paper investigates the problems of state observer design and observer-based integral sliding-mode control (SMC) for a class of Ito stochastic systems subject to simultaneous input and output disturbances. A new type of sliding-mode-based descriptor observer method is developed to approximate the system state and disturbance vectors. An integral-type SMC scheme is proposed based on the state estimation to stabilize the overall system. The main contributions of this approach are as follows: 1) The desired estimations of state and disturbance vectors can be obtained simultaneously, and 2) in the designed sliding-mode observer, the integral term of the Ito stochastic noise is eliminated in the proposed sliding-mode surface by a matrix design; thus, the reachability of the sliding-mode surface is strictly guaranteed. Finally, the proposed approach is applied to the disturbance reconstruction problem of an F-18 aircraft model to illustrate the effectiveness and applicability.

本文研究了一类同时受到输入和输出干扰的伊藤随机系统的状态观测器设计以及基于观测器的积分滑模控制（SMC）问题。开发了一种新型的基于滑模的广义观测器方法来逼近系统状态和干扰向量。基于状态估计提出了一种积分型SMC方案以稳定整个系统。这种方法的主要贡献如下：1）能够同时获得状态和干扰向量的期望估计；2）在设计的滑模观测器中，通过矩阵设计在提出的滑模面中消除了伊藤随机噪声的积分项；因此，严格保证了滑模面的可达性。最后，将所提出的方法应用于F - 18飞机模型的干扰重构问题，以说明其有效性和适用性。