含执行器饱和的分数阶系统动态输出反馈镇定  

Dynamic Output Feedback Stabilization of Fractional Order Linear Systems Subject to Actuator Saturation

作　　者：陈凯 唐荣年[1] 李创[1] 

机构地区：[1]海南大学机电工程学院,海口570228

出　　处：《控制工程》2017年第9期1860-1865,共6页Control Engineering of China

基　　金：海南省自然科学基金资助项目(20156218);国家自然科学基金资助项目(31460318;61374030);海南省研究生创新课题(Hys2016-27)

摘　　要：针对执行器带饱和的齐次分数阶线性系统的动态输出反馈镇定问题,基于李雅普诺夫函数法提出了在一个较大的吸引域内分数阶系统的渐近稳定条件,并给出了使得执行器带饱和分数阶线性系统稳定的动态输出反馈控制律设计方法。该非线性输出反馈控制器被转化为线性变参数系统,利用控制器的系数矩阵构造出保持闭环系统的局部渐近稳定条件,然后利用线性矩阵不等式求解获得控制器参数。最后提供了一个数值仿真算例来证明所提方法的有效性。This study focuses on the dynamic output feedback stabilization problem of a class of linear fractional order systems subject to actuator saturation. A sufficient condition for the asymptotic stability of the linear fractional order systems with a large domain of attraction is presented based on Lyapunov approach. Then, a method for designing a dynamic output feedback law which can make sure the stability of the linear fractional order systems subject to actuator saturation is proposed. The dynamic output feedback controller is expressed in the form of a LPV system and the coefficient matrices of the controller are utilized to keep the locally asymptotically stable of the closed-loop system. All the results are obtained in terms of LMIs. Finally, a numerical example is provided to illustrate the efficiency and advantage of the proposed method.

关 键 词：分数阶系统 执行器饱和 动态输出反馈 镇定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]