一种新型非线性时变模型:模糊变参数系统

发布时间：2018-06-12 07:17

本文选题：T-S模糊系统 + 线性变参数系统　；参考：《电机与控制学报》2016年11期

【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。
[Abstract]:In order to study the nonlinear time-varying model, a fuzzy variable parameter system is proposed. It is a new nonlinear time-varying model which integrates the advantages of T-S fuzzy system and linear variable parameter system. It inherits the advantage that T-S fuzzy model can deal with nonlinear system effectively. The advantage of linear variable parameter model for time-varying systems is maintained. The fuzzy variable parameter system not only overcomes the weakness of the traditional T-S fuzzy model in dealing with the time-varying system, but also extends the application range of the linear variable parameter system theory. It provides a new idea for solving the control problem of nonlinear time-varying systems. Based on the above models, a sufficient condition for the global asymptotic stability of the zero equilibrium point and a sufficient condition for designing a T-S full state feedback control law are given, and the effectiveness of the results is verified by numerical simulation.
【作者单位】：哈尔滨工业大学控制理论与制导技术研究中心;北卡罗莱纳州立大学机械与宇航工程系;
【基金】：国家自然科学基金(61304006,61273095)
【分类号】：TP13

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