多模切换控制方法及其在分导飞行器姿态机动控制中的应用研究

研究一类离散切换系统的鲁棒保性能状态反馈控制器设计问题。利用切换Lyapunov函数和线性矩阵不等式方法,得到了鲁棒保性能控制器存在的一个充分条件,给出了控制器的参数化表示,并将次优保性能控制器的设计问题转化为基于线性矩阵不等式约束下的凸优化问题。最后将所提理论应用于某飞行器的控制方案设计中,说明了本文所提设计方法的有效性。

Multiple Models Control for Attitude Changing of a Post-boost Vehicle

The problem of designing a suboptimal guaranteed cost state feedback controller for a class of discrete-time switched systems is studied in this paper.Based on a switched Lyapunov function approach and linear matrix inequality techniques,a sufficient condition on the existence of robust guaranteed controller is derived,together with a parameterized representation of the controllers.Then,the design of the suboptimal guaranteed cost controller is turned into a convex optimization problem with linear matrix inequalities constraints.Finally,a numerical example for the control of a vehicle demonstrates the efficiency of the proposed design.