This paper studies a novel fixed-time extended state observer based fixed-time integral terminal sliding mode controller for partial integrated guidance and control design. Firstly, a class of arbitrary-order systems with fixed-time stability is proposed by utilizing homogeneous approach, whose upper bound of convergence time is given. Then, an arbitrary-order fixed-time integral terminal sliding mode control is designed based on the proposed arbitrary-order fixed-time stable system, which avoids the singular problem. Subsequently, this paper constructs a new fixed-time extended state observer to further actively compensate for the disturbance caused by unknown target acceleration. Finally, numerical simulations show the effectiveness of the proposed controller.

本文研究了一种新颖的基于固定时间扩展状态观测器的固定时间积分终端滑模控制器，用于部分综合制导和控制设计。首先，利用齐次方法提出了一类具有固定时间稳定性的任意阶系统，并给出了收敛时间的上界。然后，基于所提出的任意阶固定时间稳定系统，设计了任意阶固定时间积分终端滑模控制，避免了奇异问题。随后，本文构造了一种新的固定时间扩展状态观测器，进一步主动补偿未知目标加速度带来的扰动。最后，数值模拟表明了所提出的控制器的有效性。