Title :
The structured H2-optimal control problem
Author_Institution :
Dept. of Electron. & Electr. Eng., Leeds Univ., UK
Abstract :
The structured H2 optimal control problem is defined, and two methods are outlined for its solution. The first method involves vectorisation/Kronecker product technique and reduces the optimisation problem to two nested projections. To avoid potential computational difficulties due to the dimension inflation implicit in this method, an iterative algorithm is proposed as an alternative. This is an application of von-Neumann´s alternating projection algorithm in Hilbert space and can be shown to be applicable to the present problem under two standard rank assumptions
Keywords :
control system synthesis; convergence of numerical methods; iterative methods; optimal control; optimisation; Hilbert space; Kronecker product; convergence rate; iterative algorithm; nested projection; optimisation; permutation matrix; rank assumptions; structured H2-optimal control; vectorisation; von-Neumann´s alternating projection algorithm; Control design; Design optimization; H infinity control; Hilbert space; Hydrogen; Iterative algorithms; Optimal control; Projection algorithms; Stacking; Sufficient conditions;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325178
