煤矿瓦斯二次爆炸预警控制器参数稳定域计算

Computing of Parameters's Stabilizing Ranges of Warning Controller on Secondary Coal Mine Gas Explosion

煤矿井下瓦斯二次爆炸预警控制器是一个多闭环PID控制器,多闭环PID预警控制器参数的准确设定与瓦斯二次爆炸高效预警有密切关联,并且多闭环PID预警控制器参数整定依据于多闭环PID控制器参数的稳定域,常规计算方法很难准确计算多闭环PID预警控制器参数的稳定域;把计算稳定域问题转化为线性矩阵不等式问题,结合鲁棒稳定性判据,把模型化的描述方法与线性参数相关李雅普诺夫函数有效地结合起来,探讨了一种求解多闭环PID预警控制器参数稳定域的计算方法-LMI;算例验证结果表明,应用LMI计算多闭环PID预警控制器参数的稳定域是可行的。

The warning controller of secondary Coal mine gas explosion is a multi-closed-loop PID controller,accurately setting of its parameters is associated with the efficient warning,and the warning multiple closed-loop PID controller tuning is based on the multiple closed-loop PID controller parameters＇s stabilizing ranges which is difficult for conventional method to accurately compute,then transformed the compution of the stabilizing ranges into the question of LMI,combined with robust stability criterion,the description of modeling methods is linked with the linear Lyapunov function related to parameters.Discussed a method-LMI to compute the parameters＇s stabilizing ranges of multi-loop PID controller.Results show that the application of LMI to compute the parameters＇s stabilizing ranges of multi-loop PID controller is feasible.