摘要
针对一类具有状态滞后的不确定离散时滞系统,研究其时滞依赖的弹性H∞保性能控制。通过引入状态变换,提取出时滞因子,导出了一类不确定离散系统H∞保性能的时滞依赖判据,以线性矩阵不等式(LMI)的形式给出了弹性控制器存在的充分条件,并以线性矩阵不等式(LMI)的可行解构造出相应的状态反馈控制器。仿真算例表明可通过调节时滞相关度因子得到不同的时滞界限和控制器增益。
The problem of delay - dependent and non - fragile H∞ and guaranteed cost control is studied for a class of uncertain discrete time- delay systems with time- delay in state. A state transformation is proposed to separate the delay factor out and the delay - dependent criterion is derived . The sufficient conditions for the existence of non - fragile H∞ and guaranteed cost controller are derived. The controller is constructed by the feasible solutions of linear matrix inequality （ LMI ）. A numerical example illustrates that different time - delay limitation and controller gain can be derived through adjusting the time - delay factor of degree of correlation the feasibility of the method.
出处
《青岛农业大学学报（自然科学版）》
2008年第4期324-328,共5页
Journal of Qingdao Agricultural University(Natural Science)
关键词
离散时滞系统
时滞依赖
弹性H∞保性能控制
线性矩阵不等式(LMI)
discrete - time systems with time - delay
delay - dependent
non - fragile H∞ and guaranteed cost control
linear matrix inequality （ LMI ）
