NUMERICAL-SOLUTION OF A DRUG DISPLACEMENT PROBLEM WITH BOUNDED STATE VARIABLES

被引:14
作者
MAURER, H [1 ]
WIEGAND, M [1 ]
机构
[1] MANNESMANN DATENVERARBEITUNGS GMBH,W-4030 RATINGEN 4,GERMANY
关键词
STATE INEQUALITY CONSTRAINTS; BOUNDARY VALUE PROBLEMS; MULTIPLE SHOOTING; DRUG DISPLACEMENT; SENSITIVITY ANALYSIS;
D O I
10.1002/oca.4660130104
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The interaction of the two drugs warfarin and phenylbutazone has previously been considered as a time-optimal control problem with state inequality constraints. We include bounds for the control and show that necessary optimality conditions and junction conditions for bounded state variables lead to boundary value problems with switching and junction conditions. A special version of the multiple-shooting algorithm is employed for solving the different types of boundary value problems. The switching structure of the optimal control is determined for a range of parameters in the state constraint. Owing to the special structure of the control, a state space solution is obtained in a first step which reduces the numerical complexity of the problem. It is shown how the numerical results can be used to compute the generalized gradient of the optimal value function explicitly.
引用
收藏
页码:43 / 55
页数:13
相关论文
共 17 条
[11]  
MAURER H, 1979, 41 SCHR RECH U MUNST
[12]   NONLINEAR-PROGRAMMING APPLIED TO STATE-CONSTRAINED OPTIMIZATION PROBLEMS [J].
NORRIS, DO .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 43 (01) :261-272
[13]  
OBERLE HJ, 1988, J OPTIM THEORY APPLI, V50, P331
[14]  
OBERLE HJ, 1983, M8310 TU MUNCH HAB R
[15]   SUFFICIENT CONDITIONS IN FREE FINAL TIME OPTIMAL-CONTROL PROBLEMS [J].
SEIERSTAD, A .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1988, 26 (01) :155-167
[16]  
SEIERSTAD A, 1984, 1 U OSL DEP EC MEM
[17]  
WIEGAND M, 1985, THESIS U MUNSTER