摘要
针对一类同时具有变时滞和连续分布时滞的分布参数系统的状态反馈控制问题进行了研究,通过选择适当的Lyapunov-Krasovskii函数,采用线性矩阵不等式(LMI)方法,得到了变时滞闭环系统渐近稳定的一个充分条件.设计了无记忆的状态反馈控制器,使得在一个正定矩阵存在的条件下,闭环系统是可镇定的,从而得到了常时滞分布参数系统可镇定的一个推论.最后,通过一个数值仿真例子说明了所给出设计方法的可行性和有效性.
The problem of state feedback control design is investigated for a class of distributed parameter systems with both time-varying delay and continuous distributed time-delay. By selecting an appropriate Lyapunov-Krasovskii function, a sufficient condition is obtained to guarantee the asymptotical stability of the closed-loop system with time-varying delay by using a linear matrix inequality（LMI） approach. A memoryless state feedback controller is designed, such that the closedloop system is stable when a positive matrix exists. Thus, a corollary of stabilization is established for the case of constant time-delay. Finally, a numerical simulation example is given to illustrate the feasibility and effectivity of the proposed method.
出处
《控制与决策》
EI
CSCD
北大核心
2013年第3期445-450,共6页
Control and Decision
基金
国家自然科学基金项目(60974025)
关键词
分布参数系统
变时滞
分布时滞
反馈控制
线性矩阵不等式
distributed parameter system
time-varying delay
distributed time-delay
feedback control
linear matrix inequality
