摘 要：文章主要研究了具有参数不确定性的切换线性变参数（LPV）系统的模型参考自适应（MRAC）跟踪控制问题。首先，一个切换 LPV 参考模型被给出并分析其有界性。然后，通过一个时变矩阵设计了切换 LPV 控制器与自适应律。其次，给出了参考模型 MRAC 可解的一个充分条件。当对设计参数进行合理选择时，系统的状态追踪误差可以收敛至一个位于原点的任意小的球心内。最后，通过一个涡扇发动机的仿真实例来验证所提方法的有效性。
DOI:10.19850/j.cnki.2096-4706.2022.10.001
中图分类号：TP13 文献标识码：A 文章编号：2096-4706（2022）10-0001-10
Model Reference Adaptive Tracking Control for Switched LPV System
FAN Yanming, XIE Jing
(Shenyang University of Technology, Shenyang 110870, China)
Abstract: This paper mainly studies the MRAC tracking control problem of switched LPV systems with parameter uncertainty. First, a switched LPV reference model is given and its boundedness is analyzed. Then, the switched LPV controller and adaptive law are designed through a time-varying matrix. Secondly, a sufficient condition that the reference model MRAC can be solved is given. When the design parameters are properly selected, the state tracking error of the system can converge to an arbitrarily small sphere center at the origin. Finally, the effectiveness of the proposed method is verified by a simulation example of a turbofan engine.
Keywords: switched system; model reference adaptive control; LPV; time varying parameter dependent; multiple Lyapunov function
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作者简介：范晏铭（1994—），男，汉族，辽宁阜新人，硕士在读，研究方向：切换 LPV 系统的模型参考自适应跟踪控制；通讯作者：谢静（1984—）女，汉族，辽宁鞍山人，副教授，博士，研究方向：切换系统控制设计、自适应控制。