鲁棒非脆弱保成本控制及其应用仿真

Robust Non-Fragile Guaranteed Cost Control and Its Application Simulation

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.

The robust non-fragile guaranteed cost controller design for uncertain systems was discussed. Both additive and muhiplicative perturbations of controller gain were considered. The existing condition of robust non-fragile guaranteed cost controller was given by using a proper Lyapunov function and linear matrix inequalities. Based on parameters uncertainties analysis of looper systems, the non-fragile guaranteed cost controller was applied to looper systems of hot strip rolling mill. Simulation results illustrate that this controller make looper systems have some good characteristics such as perfect robust stabilization and strong disturbance attenuation.4figs., 9refs.