MIXED l_2/l_1 CONTROL FOR DISCRETE TIME SYSTEMS VIA LAGRANGE MULTIPLIER THEORY

ＩＮＴＲＯＤＵＣＴＩＯＮＴｈｅｌ1ｏｐｔｉｍａｌｃｏｎｔｒｏｌｔｈｅｏｒｙｆｏｒｌｉｎｅａｒｄｉｓ ｃｒｅｔｅ ｔｉｍｅｃｏｎｔｒｏｌｓｙｓｔｅｍｓｗｈｅｒｅｔｈｅｍａｘｉｍｕｍａｍｐｌｉｔｕｄｅｏｆｓｙｓｔｅｍｓｉｇｎａｌｓｉｓｃｏｎｓｔｒａｉｎｔｅｄｔｏｂｅｂｏｕｎｄｅｄ ,ｗａｓｓｔｕｄｉｅｄｉｎｒｅｃｅｎｔｙｅａｒｓ(ＭｃＤｏｎａｌｄｅｔａｌ.,1 991 ;Ｄｕｌｌｅｒｕｄｅｔａｌ.,1 992 ;Ｓｔａｆｆａｎｓ,1 993 ;Ｄａｈｌｅｈｅｔａｌ.,1 993 ) .ＩｎＨ∞ ｏｐｔｉｍａｌｃｏｎｔｒｏｌｔｈｅｏｒｙ,ｔｈｅ…     

A SISO mixed H_2/l_1 optimal control problem and its solution

INTRODUCTIONOneofthemethodsforsolvingoptimalregu lationandtrackingproblemsinlinearsystemsistheH2 optimalcontrolscheme,wherethecon trollerminimizestheexpectedvalueofanH2normcriterion .Itiswellknown ,however,thattheperformanceoftheH2 optimalcontrollersmaybehighlysensitivetoparameteruncertainty(Doyle,1982 ) .ThisiswhyalternativemethodsthathavebeentriedmayprobablybesuboptimalwithrespecttotheH2 normcriterionofthenom inalsystemononehand ,butwillguaranteesomekindofrobustnesswithrespecttothelarg…     

A SISO mixed H2/l1 optimal control problem and its solution

Study of the SISO mixed H2/l1 problem for discrete time systems showed that there exists a unique optimal solution which can be approximated within any prescribed missing error bound in l2 norm with solvable suboptimal solutions and solvable superoptimal solutions.     

二氧化硅负载硅钨钼酸催化合成异丁醛1,2-丙二醇缩醛

以H4SiW6Mo6O40/SiO2为催化剂,通过异丁醛和1,2-丙二醇为原料合成异丁醛1,2-丙二醇缩醛,探讨了H4SiW6Mo6O40/SiO2催化剂对缩醛反应的催化活性,较系统地研究了原料量比,催化剂用量,反应时间诸因素对产品收率的影响.实验表明:H4SiW6Mo6O40/SiO2是合成异丁醛1,2-丙二醇缩醛的良好催化剂,在n(1,2-丙二醇)∶n(异丁醛)=1.5∶1,催化剂用量为反应物料总质量的1.2%,环己烷为带水剂,反应时间1.0 h的优化条件下,异丁醛1,2-丙二醇缩醛的收率可达75.2%.     

Mixedl 2/l 1 control for discrete-time systems via lagrange multiplier theory

The dual formulation of the discrete-time mixedl ₂/l ₁ control design problem was achieved by using the duality theory of Lagrange multipliers. For some special dual mixedl ₂/l ₁ problems, an approximation method for the optimal value is introduced. A suboptimal value of the infinite-dimensional dual problem can be obtained by solving a sequence of truncated problems. The convergence property of the solution scheme is investigated. This paper gives a low approximation method for the primal problem. Project(699085) supported by Zhejiang Provincial Natural Science Foundation of China.