AN EVOLUTIONARY APPROACH TO NONLINEAR DISCRETE-TIME OPTIMAL CONTROL WITH TERMINAL CONSTRAINTS

作者: Yechiel Crispin

DOI: 10.1007/1-4020-4543-3_10

关键词:

摘要: The nonlinear discrete-time optimal control problem with terminal constraints is treated using a new evolutionary approach which combines genetic search for finding the sequence solution of initial value state variables. main advantage method that it does not require to obtain adjoint usually leads two-point boundary combined an optimality condition sequence. verified by solving discrete velocity direction programming effects gravity and thrust constraint on final vertical position. compared favorably results gradient methods.

参考文章(5)
H. H. Rosenbrock, D. H. Jacobson, D. Q. Mayne, Differential Dynamic Programming The Mathematical Gazette. ,vol. 56, pp. 78- ,(1972) , 10.2307/3613752
J. F. A. DE O. PANTOJA, Differential dynamic programming and Newton's method International Journal of Control. ,vol. 47, pp. 1539- 1553 ,(1988) , 10.1080/00207178808906114
S. Kirkpatrick, C. D. Gelatt, M. P. Vecchi, Optimization by Simulated Annealing Science. ,vol. 220, pp. 671- 680 ,(1983) , 10.1126/SCIENCE.220.4598.671
L.-Z. Liao, C.A. Shoemaker, Convergence in unconstrained discrete-time differential dynamic programming IEEE Transactions on Automatic Control. ,vol. 36, pp. 692- 706 ,(1991) , 10.1109/9.86943