精馏塔极小极大鲁棒非脆弱控制的研究

将极小极大控制器的设计应用于精馏塔模型。考虑系统和控制器同时含有不确定性,利用线性矩阵不等式(LMI)处理方法和Lyapunov稳定性理论,设计了鲁棒且非脆弱的极小极大控制器。考虑不确定性对系统破坏最大的情形,分别给出含有加性和乘性干扰增益的控制器存在条件。引入凸优化算法,求解使闭环系统渐近稳定且性能指标上界最小的最优控制器参数。仿真结果表明所设计的控制器具有良好的鲁棒性和非脆弱性。

Research on Robust and Non-fragile Minimax Control for Distillation

The minimax robust and non-fragile controls problem for the distillation systems was proposed. Existence conditions were derived for the robust and non-fragile minimax control in the sense of Lyapunov asymptotic stability and were formulated in the format of linear matrix inequalities (LMIs). The convex optimization algorithm was used to get the minima upper bound of performance cost and parameter of optimal minimax controller. And then the close-loop system will be asymptotically stable under the condition of the worst disturbances and uncertainty. The simulation shows the good robust and non-fragile performance of the controller design.