基于LMI的时滞分段仿射系统H_∞控制  

LMI-based H_∞ control scheme for piecewise affine system with time-delay

作　　者：刘志林[1] 朱齐丹[1] 

机构地区：[1]哈尔滨工程大学自动化学院,哈尔滨150001

出　　处：《海军工程大学学报》2010年第4期22-28,共7页Journal of Naval University of Engineering

基　　金：国家自然科学基金资助项目(50909026);中国博士后科研基金资助项目(20090450949);黑龙江省自然科学基金资助项目(F200916)

摘　　要：研究了一类有时滞环节的离散分段仿射系统的稳定性及其H∞控制器的设计方法。提出了各时滞分段仿射子系统离散时间状态集的椭圆集表示方法,结合Lyapunov意义的稳定约束,以LMIs形式给出了闭环分段时滞仿射系统的稳定充分条件,从而将系统H∞性能指标最小问题转化成LMI的凸约束求解问题。最后,通过仿真实例验证了所提方法的有效性。This paper dealt with the problem concerning the stabilization of a discrete-time piecewise affine（PWA） systems with time-delay.An H∞ state feedback controller design was proposed,and the PWA systems described as ellipsoid which was characterized by a set of vector inequalities were presented,thereby the constraint of linear matrix inequalities（LMIs） was released.In terms of LMIs,the time-delay PWA system can be stabilized according to Lyapunov theory.The minimum problem of the H∞ performance index can be cast as a convex optimization problem with LMIs constraints.The simulation results verify the effectiveness of the proposed method.

关 键 词：时滞 分段仿射系统 椭圆集 LMI 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]