中文摘要：

针对高超声速飞行器的巡航控制存在的不确定气动参数问题,提出了一种具有全局鲁棒性的指数时变滑模控制方法。首先将纵向模型进行精确线性化,提出了一种新的指数时变滑模面,在此基础上设计了一种高阶时变滑模控制律。该控制律使系统相轨迹从初始时刻起始终处于滑动阶段,消除了常规时不变滑模控制的到达阶段,保证了控制过程中对系统参数不确定性的全局鲁棒性。最后,用李亚普诺夫理论证明了该控制律的稳定性。控制律参数采用遗传算法进行优化,优化的指标由系统响应误差的积分和参数违反约束时的惩罚项组成。仿真结果验证了该方法的有效性。

英文摘要：

To deal with aerodynamic parametric uncertainties in cruise control of hypersonic air vehicle,an exponential time-varying sliding mode control（ETVSMC） algorithm with global robustness is proposed in this paper.A new exponential time-varying sliding surface is presented based on the exact linearization of the longitudinal model,and a corresponding high order sliding mode control algorithm is designed.The proposed control law guarantees the sliding mode occurrence from beginning to end and eliminates the reaching phase of time-invariant sliding mode control（SMC）.In this way,the global robustness against parametric uncertainties is guaranteed.The stability is proved by the Lyapunov stability principle.The control parameters are optimized by using genetic algorithms（GA） with penalty function to minimize the index function,consisted of the integral of system errors and the penalty term of violation of parameter constraint.Simulations are employed to illustrate the effectiveness of the proposed method.