针对不确定系统设计了非脆弱鲁棒保成本控制器,考虑了控制器增益存在加性和乘性两种情形.利用Lyapunov稳定性方法,以线性矩阵不等式的形式给出了非脆弱鲁棒保成本控制器存在的条件.在分析活套控制系统参数不确定等因素的基础上,把所设计的非脆弱保成本控制器应用于热连轧活套自动控制系统.通过仿真可以看出,在活套系统参数摄动的情况下,采用非脆弱保成本控制器活套系统仍具有鲁棒性能好,抗扰动强等优点.图4,参9. In this paper, a non-fragile robust guaranteed cost controller is designed for uncertain systems, and two cases of additive and multiplicative gains are considered. Using the Lyapunov stability method, a non-fragile robust guaranteed Cost controller exist in this paper.On the basis of analyzing the uncertain parameters of the looper control system and other factors, the non-fragile guaranteed cost controller is applied to the automatic control system of the hot rolling continuous looper.Through the simulation we can see that in the Under the circumstance that the parameters of the looper system are perturbed, the looper system with the non-fragile guaranteed cost controller still has the advantages of good robustness, strong anti-disturbance, etc. Figure 4, parameter 9.