中文摘要：

针对一类具有状态时滞的广义串级控制系统,研究其H。。控制问题.考虑到当非零扰动作用于系统时采用静态反馈控制对于被控对象的输出具有不足性,从而将串级控制应用于具有状态时滞的广义系统中,并且建立了闭环广义串级控制系统新的模型.提出的方法着重在于串级控制在广义系统中的应用.利用线性矩阵不等式方法得到了相应系统正则、无脉冲和稳定的条件,并进一步利用得到的条件给出了相应的H。。稳定控制器设计方法.最后通过仿真实例说明了所提方法的有效性.

英文摘要：

This paper investigates the H-infinity control for a class of singular cascade control systems with time-delay in state. Because of the undesirable output performance in the feedback control when non-zero disturbances exist the systems, the cascade control is applied for the singular systems with time-delay in state; and a new model is derived for the closed-loop singular cascade control system. The proposed method emphasizes the employment of cascade control to the singular systems. The resulting regularity, impulse-free and stability conditions are derived in terms of linear matrix inequalities; and the corresponding H-infinity stabilizing controller design technique is developed based on the above conditions. A simulation and experimental example is given to illustrate the effectiveness of the obtained results.