不确定时滞分布参数系统鲁棒控制的LMI方法

对常时滞、变时滞的不确定分布参数控制系统,提出了一种与现有的研究分布参数控制系统不同的鲁棒控制方法.该方法通过构造平均Lyapunov函数,利用线性矩阵不等式知识,在只要求系统本身所固有的系数是负定矩阵的条件下,给出了所给的分布参数系统镇定的充分条件.当模型中的时滞为常时滞时,所得的充分条件与时滞无关.当模型中的时滞为变时滞时,所得模型的镇定准则依赖于时滞.此外,该方法与已有方法比较的一个显著优点就是所获得的条件容易检验,因而易于应用.最后举了一个实例以说明该方法的有效性.

LMI-based approach of robust control for uncertain distributed parameter control systems with time-delay

A new robust control method is put forward which is not similar to existing methods for the uncertain distributed parameter control systems with constant time-delay or varying time-delay.By constructing even-type Lyapunov functions,employing linear matrix inequality(LMI),a number of sufficient conditions for these types of stabilization are derived.For the case of constant time-delay,the obtained stabilization criteria are delay-independent.For the case of varying time-delay,the proposed stabilization criteria are delay-dependent.In addition,the distinct advantage of the proposed method is that the criteria can be easily checked.Finally,a computation example is given to illustrate the proposed method.