| Abstract: | In this paper, a method is proposed to solve free endpoint optimal control problems with linear state and quadratic cost. After translating the problem into a two-point boundary-value problem (TPBVP) that arises from the optimization of the Hamiltonian, two pointst
1 andt
2,t
1<t
2, belonging to the given interval of integration t
0,t
f], are chosen and conditions are derived at these points appropriately. Then, letting  =(t–t
0)/ ,  =(t
f–t)/, the -scaled, the original, and the -scaled TPBVP's are solved on the intervals t
0,t
1], t
1,t
2], and t
2,t
f] respectively as boundary-value problems.The authors are deeply indebted to Dr. S. M. Roberts for his valuable comments and suggestions, which improved the clarity of the paper. |
