摘要
A guaranteed cost sliding mode control(SMC)algorithm is investigated to further improve the control accuracy of looper-tension systems in hot strip finishing mills.First,a global sliding mode surface function is designed by linear matrix inequalities and guaranteed cost technique,which can force the system states into switching region initially,and can guarantee the system robustness with a good performance during the whole control process.Then,a novel reaching law is designed,which can satisfy the sliding mode reaching conditions.Simulation results demonstrate that the proposed control scheme has good stability and robustness comparing with traditional SMC.The designed controller can regulate the strip tension and looper angle to ensure better performance,which is very suitable for complex looper systems.
基金
supported by the Science and Technology Project of Hebei Province[grant number 15211028]
the Technology Support Project of Northeastern University at Qinhuangdao[grant number XNK201604],[grant number XNK201407]
the National Natural Science Foundation of China[grant number 61403069]
the Natural Science Foundation of Hebei Province[grant number F2014501055]
the Program of Science and Technology Research of Hebei University[grant number ZD20132003].
