针对飞行器再人段的姿态跟踪控制问题,提出了一种最优自适应积分滑模控制(Optimal Adaptive Integral Sliding Mode Control,OAISMC)方法。首先针对飞行器的标称模型设计了基于状态相依黎卡提方程(State Dependent Riccati Equation,SDRE)的姿态控制器,使标称系统的性能满足提出的最优指标。然后,考虑系统的不确定性和外部干扰,在SDRE标称控制器的基础上设计积分滑模姿态控制方法,使系统在满足性能指标要求的同时,对不确定性和干扰具有鲁棒性。进一步采用自适应方法调整切换增益,避免了对复合干扰上界的先验要求,并引入滑模干扰观测器提高系统的性能。最后,仿真结果表明,在考虑外部干扰以及气动系数和大气密度摄动的情况下,本文设计的控制方法不仅能够实现姿态跟踪、满足设计的性能指标,而且具有较好的鲁棒性。
In this paper, an optimal adaptive integral sliding mode control (OAISMC) strategy is proposed for the reentry vehicle with a strong coupling, nonlinearity and uncertainty. Firstly, the State Dependent Riccati Equation (SDRE) is used to design the attitude controller for the nonlinear reentry vehicle without uncertainties. Then the integral sliding mode control theory is applied to reentry vehicle with parameter variations or external disturbances. By combining the integral sliding mode control theory with SDRE, the optimal performance index is achieved and the uncertainties can be rejected. Moreover, by using an adaptively adjusted switching gain, the upper bound of the lumped uncertainty is not required to be known. A sliding mode disturbance observer is introduced to improve the control performance. Finally, simulation is made in the presence of external disturbance and as well as perturbation by aerodynamic coefficients and atmospheric density. The validity and robustness of the proposed strategies are verified by simulation results.