范数有界不确定采样系统的鲁棒控制

将工业生产中过程控制系统考虑为一类范数有界不确定采样系统.采用矩阵不等式方法,从数字再设计的角度,进行了鲁棒状态反馈控制器的设计.该方法保证了受扰采样系统的稳定性,在满足采样系统与相应连续系统的状态输出近似相等的目标要求下,给出了满足特定条件的鲁棒控制律.鲁棒状态反馈控制器的求取借助于求解一类具有线性矩阵不等式(LMI)约束的优化问题.仿真验证了方法的可行性,表明本文设计的鲁棒状态反馈控制器的性能优于采用常规方法所设计的控制器.

Robust control of sampled-data systems with norm-bounded uncertainty

The industry control processes are considered into a class of sampled-data systems with norm-bounded uncertainty in this paper.In the point of view of digital redesign principle,a kind of robust state feedback controller is designed by using linear matrix inequalities(LMI).The controller can make the disturbed sampled-data systems stable.And then for adapting the systems with the disturbance,the controller of sample-data systems with norm-bounded uncertainty is designed in detail.Robust control law that satisfies given conditions is derived.The proposed method provides the matching of outputs between the original continuous-time system and the redesigned disturbed of sampled-data system.The result is got through solving a class of a dynamic program problem with LMI constraints.Finally a numerical example shows that the proposed method is feasible and the robust state feedback controller is better than that in ordinary design manner.