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针对切换信号依赖于独立决策变量的不确定切换系统,基于多Lyapunov函数方法和模型参考自适应控制理论,提出并分析一种控制器具有非线性死区特征的鲁棒自适应切换控制方案.首先,由参考切换系统和自适应控制律集合建立闭环切换系统,而后构造Lure-Postnikov形式的多Lyapunov函数,并以一组线性矩阵不等式推导给出闭环切换系统为有界模型参考自适应控制系统的充分条件.最后,选择HiMAT(Highly Maneuverable Aircraft Tech-nology)飞行器包线内的5个工作点,以其纵向短周期运动模型建立切换系统,并设计具有非线性死区特征的鲁棒自适应控制器.仿真验证了方案的有效性,结果表明系统在快速连续切换下可良好地跟踪期望轨迹.
Aiming at the uncertain switching system whose switching signal depends on independent decision variables and based on the multi-Lyapunov function method and the model reference adaptive control theory, a robust adaptive switching control scheme with nonlinear dead zone is proposed and analyzed. , A closed-loop switching system is constructed by a reference switching system and an adaptive control law set, and then Lure-Postnikov multi-Lyapunov functions are constructed. A set of linear matrix inequalities is derived to give a closed-loop switched system as a bounded model reference adaptive control system Sufficient conditions.Finally, we choose five working points in the HiMAT (Highly Maneuverable Aircraft Tech-nology) aircraft envelope to establish the switching system with its longitudinal short-period motion model and design a robust adaptive control with nonlinear dead zone characteristics The simulation results show that the proposed scheme can effectively track the desired trajectory under fast continuous switching.