离散模糊二次多项式系统输出反馈跟踪控制  

Output feedback tracking control of discrete-time quadratic polynomial fuzzy systems

作　　者：任立伟 洪娟[2] 班晓军[1] 黄显林[1] REN Li-wei;HONG Juan;BAN Xiao-jun;HUANG Xian-lin(Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001,China;Beijing Institute of Aerospace Control Devices, Beijing 100854,China)

机构地区：[1]哈尔滨工业大学控制理论与制导技术研究中心,黑龙江哈尔滨150001 [2]北京航天控制仪器研究所,北京100854

出　　处：《电机与控制学报》2017年第12期93-99,共7页Electric Machines and Control

基　　金：国家自然科学基金(61304006;61273095)

摘　　要：针对一类离散模糊二次多项式系统,设计了输出反馈跟踪控制器。首先,提出了一类离散模糊二次多项式模型;然后,基于非线性控制方法中的反馈线性化方法,设计了输出反馈跟踪控制器,使得闭环离散模糊二次多项式系统的输出可以实现对有界时变参考轨迹的动态跟踪。针对应用反馈线性化方法易出现的奇异性问题,建立了一个充分条件,用于判定一个给定的离散模糊二次多项式系统是否会出现上述问题。最后,通过对数值算例的仿真验证了所提出方法的可行性和有效性。The output feedback tracking controller is designed for a class of discretetime quadratic polynomial fuzzy systems.Firstly,a class of discretetime quadratic polynomial fuzzy model was proposed.Based on the feedback linearization method which is one of the nonlinear control methods,the output feedback tracking controller was designed,and the output of closedloop discretetime quadratic polynomial fuzzy system achieved dynamic tracking of bounded timevarying trajectories.Additionally,in the light of the singularity problem which appears easily by using the feedback linearization method,a sufficient condition was established for checking whether a given discretetime quadratic polynomial fuzzy system causes such a failure.Finally,the feasibility and validity of the proposed method are verified by the simulation of a numerical example.

关 键 词：离散系统 模糊多项式系统 跟踪控制 输出反馈 反馈线性化 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]