Title :
Multi-target linear-quadratic control problem and second-order cone programming
Author :
Faybusovich, L. ; Mouktonglang, T.
Author_Institution :
Dept. of Math., Notre Dame Univ., IN, USA
Abstract :
It is shown that a multi-target linear-quadratic control problem can be reduced to the classical tracking problem where the target is a convex combination of the original ones. Finding coefficients in this convex combination is reduced to solving a second-order cone programming problem, which can be easily solved using modern interior point algorithms.
Keywords :
linear quadratic control; mathematical programming; target tracking; convex combination; modern interior point algorithms; multitarget linear quadratic control; second order cone programming; tracking problem; Hilbert space; Linear programming; Mathematical programming; Mathematics; Regulators; Target tracking; Vectors;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1242440