针对一类范数有界的不确定多项式非线性系统的H∞静态输出反馈控制器设计问题,以双线性矩阵不等式(bilinear matrix inequalities,BMIs)形式给出了此类控制器存在的充要条件。由于BMIs问题是非凸的,因此引入一种迭代平方和优化(iterativ...针对一类范数有界的不确定多项式非线性系统的H∞静态输出反馈控制器设计问题,以双线性矩阵不等式(bilinear matrix inequalities,BMIs)形式给出了此类控制器存在的充要条件。由于BMIs问题是非凸的,因此引入一种迭代平方和优化(iterative sum of squares,ISOS)算法。该算法能够有效的求解BMIs问题,并进一步得到H∞静态输出反馈控制器。最后,仿真算例证明了该方法的有效性。展开更多
The static output feedback control problem for time-delay nonlinear system is studied based on T-S fuzzy bilinear model. The objective is to design a delay-dependent static output feed- back controller via the paralle...The static output feedback control problem for time-delay nonlinear system is studied based on T-S fuzzy bilinear model. The objective is to design a delay-dependent static output feed- back controller via the parallel distributed compensation （ PDC ） approach such that the closed-loop system is delay-dependent asymptotically stable. A sufficient condition for the existence of such a controller is derived via the linear matrix inequality （LMI） approach and the design problem of the fuzzy controller is formulated as an LMI problem. The simulation examples show the effectiveness of the proposed approach.展开更多
文摘针对一类范数有界的不确定多项式非线性系统的H∞静态输出反馈控制器设计问题,以双线性矩阵不等式(bilinear matrix inequalities,BMIs)形式给出了此类控制器存在的充要条件。由于BMIs问题是非凸的,因此引入一种迭代平方和优化(iterative sum of squares,ISOS)算法。该算法能够有效的求解BMIs问题,并进一步得到H∞静态输出反馈控制器。最后,仿真算例证明了该方法的有效性。
基金Supported by Henan Provincial Science and Technology Rresearch Projects(112102210494,112102310639)Henan Natural Science Research Education Program(2011B120007)
文摘The static output feedback control problem for time-delay nonlinear system is studied based on T-S fuzzy bilinear model. The objective is to design a delay-dependent static output feed- back controller via the parallel distributed compensation （ PDC ） approach such that the closed-loop system is delay-dependent asymptotically stable. A sufficient condition for the existence of such a controller is derived via the linear matrix inequality （LMI） approach and the design problem of the fuzzy controller is formulated as an LMI problem. The simulation examples show the effectiveness of the proposed approach.
