RT Journal Article
ID 58587dd41a89b4dd
A1 Plotnikov, Victor A.
A1 Boitsova, Irina A.
T1 Averaging in Problems of Optimal Control for Systems with Fast and Slow Variables
JF Journal of Automation and Information Sciences
JO JAI(S)
YR 2001
FD 2001-02-01
VO 33
IS 2
OP 6
AB We consider the problem of optimal control for the system, which includes fast and slow variables, with the terminal performance criterion. The algorithm of direct averaging of equations of control motion is applied for solving. The averaged autonomous problem of optimal control is associated with initial non-autonomous problem of optimal control. The solution of the autonomous problem is essentially simpler found than the solution of the initial problem. On the basis of the optimal control for the averaged problem we recover the asymptotically optimal control of the initial problem. The substantiation of the mentioned algorithm is proved.
PB Begell House
LK http://dl.begellhouse.com/journals/2b6239406278e43e,26033c037f4a526e,58587dd41a89b4dd.html