一种新型非线性时变模型:模糊变参数系统  

Nonlinear time-varying model: fuzzy parameter varying system

作　　者：张洪杨 梁悦[1] 班晓军[1] 吴奋[2] 

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]北卡罗莱纳州立大学机械与宇航工程系,美国罗利276957910

出　　处：《电机与控制学报》2016年第11期86-91,共6页Electric Machines and Control

基　　金：国家自然科学基金(61304006;61273095)

摘　　要：为了研究非线性时变模型,提出了模糊变参数系统。它是一种集T-S模糊系统和线性变参数系统诸多优点为一体的新型非线性时变模型,它继承了T-S模糊模型能有效处理非线性系统的优点,又保持了线性变参数模型处理时变系统的优势。模糊变参数系统不仅克服了传统T-S模糊模型在处理时变系统时模糊规则剧增的弱点,也扩展了线性变参数系统理论的适用范围,为解决非线性时变系统的控制问题提供了新思路。在以上模型的基础上,给出了零平衡点全局渐进稳定的一个充分条件以及设计一种T-S全状态反馈控制律的充分条件,数值仿真验证了结果的有效性。The fuzzy parameter varying system was proposed to study nonlinear time-varying models. It is a novel nonlinear model combining the advantages of both the T-S fuzzy system and the linear parameter varying （LPV） system. It inherits the advantage of the T-S fuzzy system in dealing with nonlinear systems effectively, and maintains the advantage of LPV system when processing linear time-varying systems. Fuzzy parameter varying system not only overcomes the disadvantage of the traditional T-S fuzzy system in handing time-varying systems, but also expands the scope of application of LPV system theory. It pro- vides a new idea for solving nonlinear time-varying control problem. Moreover, a sufficient condition is provided to guarantee the globally asymptotically stable of the equilibrium and to synthesize a T-S state feedback control law which can stabilize the closed loop fuzzy parameter varying system. Numerical simu- lations verify the effectiveness of our results.

关 键 词：T-S模糊系统 线性变参数系统 模糊变参数系统 二次李亚普诺夫稳定 非线性时变系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]