自适应模糊奇异摄动控制在航天器中的应用  

An Adaptive Fuzzy Singularly Perturbed Control Approach for the Space Vehicle

作　　者：李莉[1] 孙富春[2] 

机构地区：[1]天津师范大学计算机与信息工程学院,天津300387 [2]清华大学计算机科学与技术系人工智能重点实验室,北京100084

出　　处：《电光与控制》2009年第10期62-65,共4页Electronics Optics & Control

基　　金：国家自然科学杰出青年基金(60625304);国家自然科学基金(60474025;60504003;60621062;90405017);国家重点基础研究专项基金(G2002cb312205);天津师范大学引进人才基金(5RL072)

摘　　要：带挠性附件航天器可以用含小摄动参数的多时标非线性系统进行描述,而目前的控制方法大多针对多时标线性系统,要求模型精确已知。为解决存在不确定性的带挠性附件航天器的跟踪问题,提出一种基于模糊奇异摄动模型的自适应控制器,采用鲁棒控制和自适应控制理论相结合的方法进行设计,由反馈项、自适应项和鲁棒控制项组成,反馈项的增益采用线性矩阵不等式(LMI)方法求解,自适应项用于减小系统的跟踪误差,鲁棒项用于保证系统的闭环稳定性。稳定性证明采用Lyapunov合成方法完成。该控制器适用于模型带有不确定性的多时标非线性系统的跟踪控制。由于采用了自适应方法消除系统不确定性,能够减少鲁棒控制方法带来的保守性。在带挠性附件航天器的跟踪控制中的应用验证了其有效性。The space vehicle with flexible appendage can be characterized as a multi-time scale nonlinear system with small perturbation parameters, while the condition is that most of existing control approaches are for multi-time scale linear system and require the model of the system known exactly. In order to solve the tracking problems of the space vehicle with flexible appendage with uncertainty, an adaptive controller based on fuzzy singularly perturbed system is designed, which includes three terms： feedback, adaptive and robust part. The feedback term is attained by the solution of LMI equations, the adaptive term is used to reduce the tracking error, and the robust term is to guarantee the stability of the closed-loop system.Lyapunov synthesis approach is used to prove the stability. The proposed controller can be applied into the tracking problem of multi-time scale nonlinear system. Since the uncertainty is alleviated by adaptive law,which can reduce the conservation when control law is used. The proposed controller is used to the tracking control of the space vehicle with flexible appendage and the simulations illustrate the effectiveness of it.

关 键 词：自适应模糊控制器 模糊奇异摄动模型 多时标非线性系统 带挠性附件航天器 

分 类 号：V44[航空宇航科学与技术—飞行器设计]