Optimal Control of a Tandem Cold Rolling System for Tracking Problem
来源期刊：JOURNAL OF MATERIALS SCIENCE TECHNOLOG1989年第3期
论文作者：李华 徐哲 卓兵
文章页码：179 - 185
摘 要：<正> The optimal control principle and procedureof a tandem cold rolling system for trackingproblem have been proposed in this paper forthe first time.The state-space description of the tandemcold rolling system for the cold-strip millof Wuhan Iron and Steel Company is:xk+1=Axk+(k,yk=Cxk+ηkThe optimum performance index of the systemfor tracking problem is:Jmin=minEr[（1/2）sum from k=0 to m e’kOek sum from k=0 to m-1 u’kRuk]The authors have deduced the optimal controlof the system for tracking problem as followsuk*=-Sk(Ayk+k+1-（?）)the feedback gain matrix Sk is given bySk=(B’Pk+1B-R)-1B’Pk+1Pk satisfies the matrix difference equationpk=Pk+1-[(Sk-1)’-B’]-1R(Sk-1-B)-1+Qwith terminal condition Pm=Q.On the above-mentioned principle of optimalcontrol,an optimal control procedure of thetandem cold rolling system has been obtained,and a computer simulation has been performed.The results of the simulation are satisfactory.
吴国发，徐哲，卓兵
摘 要：<正> The optimal control principle and procedureof a tandem cold rolling system for trackingproblem have been proposed in this paper forthe first time.The state-space description of the tandemcold rolling system for the cold-strip millof Wuhan Iron and Steel Company is:xk+1=Axk+(k,yk=Cxk+ηkThe optimum performance index of the systemfor tracking problem is:Jmin=minEr[（1/2）sum from k=0 to m e’kOek sum from k=0 to m-1 u’kRuk]The authors have deduced the optimal controlof the system for tracking problem as followsuk*=-Sk(Ayk+k+1-（?）)the feedback gain matrix Sk is given bySk=(B’Pk+1B-R)-1B’Pk+1Pk satisfies the matrix difference equationpk=Pk+1-[(Sk-1)’-B’]-1R(Sk-1-B)-1+Qwith terminal condition Pm=Q.On the above-mentioned principle of optimalcontrol,an optimal control procedure of thetandem cold rolling system has been obtained,and a computer simulation has been performed.The results of the simulation are satisfactory.
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