机械工程学报
機械工程學報
궤계공정학보
CHINESE JOURNAL OF MECHANICAL ENGINEERING
2014年
20期
46-53
,共8页
冷带轧机%液压厚控%测量时延摄动%控制器设计
冷帶軋機%液壓厚控%測量時延攝動%控製器設計
랭대알궤%액압후공%측량시연섭동%공제기설계
cold rolling mill%hydraulic automatic gauge control(HAGC)%measurement delay perturbation%controller design
针对冷带轧机液压厚控(Hydraulic automatic gauge control, HAGC)系统中带材厚度输出存在测量时延摄动以及系统存在不确定性的情况,提出一种新的控制器设计策略,以提高实际工作中冷带轧机板带材的板厚精度。基于轧机液压厚控系统各环节的方程式,给出具有测量时延摄动和不确定项的数学模型,并将该测量时延转化为时变输入时延考虑,建立最终的HAGC系统模型。针对该模型设计一种新的控制器,并利用Lyapunov稳定性理论对所设计的控制器进行严格的理论证明,得出系统的指数稳定性。针对1700单机架轧机进行 Matlab 仿真,将所提出的控制器与传统比例积分微分(Proportional integral derivative, PID)控制器的仿真结果进行对比,说明了该控制方法能够克服时延及不确定性的影响,比传统的PID控制器具有更加良好的效果,进一步验证了控制器的有效性和优越性。
針對冷帶軋機液壓厚控(Hydraulic automatic gauge control, HAGC)繫統中帶材厚度輸齣存在測量時延攝動以及繫統存在不確定性的情況,提齣一種新的控製器設計策略,以提高實際工作中冷帶軋機闆帶材的闆厚精度。基于軋機液壓厚控繫統各環節的方程式,給齣具有測量時延攝動和不確定項的數學模型,併將該測量時延轉化為時變輸入時延攷慮,建立最終的HAGC繫統模型。針對該模型設計一種新的控製器,併利用Lyapunov穩定性理論對所設計的控製器進行嚴格的理論證明,得齣繫統的指數穩定性。針對1700單機架軋機進行 Matlab 倣真,將所提齣的控製器與傳統比例積分微分(Proportional integral derivative, PID)控製器的倣真結果進行對比,說明瞭該控製方法能夠剋服時延及不確定性的影響,比傳統的PID控製器具有更加良好的效果,進一步驗證瞭控製器的有效性和優越性。
침대랭대알궤액압후공(Hydraulic automatic gauge control, HAGC)계통중대재후도수출존재측량시연섭동이급계통존재불학정성적정황,제출일충신적공제기설계책략,이제고실제공작중랭대알궤판대재적판후정도。기우알궤액압후공계통각배절적방정식,급출구유측량시연섭동화불학정항적수학모형,병장해측량시연전화위시변수입시연고필,건립최종적HAGC계통모형。침대해모형설계일충신적공제기,병이용Lyapunov은정성이론대소설계적공제기진행엄격적이론증명,득출계통적지수은정성。침대1700단궤가알궤진행 Matlab 방진,장소제출적공제기여전통비례적분미분(Proportional integral derivative, PID)공제기적방진결과진행대비,설명료해공제방법능구극복시연급불학정성적영향,비전통적PID공제기구유경가량호적효과,진일보험증료공제기적유효성화우월성。
In view of the measurement delay perturbation and uncertainties in the cold rolling mill hydraulic automatic gauge control(HAGC) system, a new controller design strategy is presented to improve the accuracy of the strip thickness in practice. Based on the equation of each link of HAGC system, the mathematical model of system, which has measurement delay perturbation and uncertainties, is given. And the measurement delay is converted into input delay. Through these, the finial HAGC system model is presented. Based on this model, a new controller is proposed. The rigorous proof is given by use of the Lyapunov stability theory to obtain the exponential stability of system. The computer simulations for a 1700 single-stand rolling mill system are performed. Compared with the traditional proportional integral derivative(PID) controller, the results show that this method could overcome the effects of time delay perturbation and uncertainties in the system and have a better performance over traditional PID controller, which further confirms the effectiveness and superiority of the proposed control scheme.