TY - CHAP

T1 - Quadratic programming approach for solving the l1 multi-block problem

AU - Elia, Nicola

AU - Dahleh, Munther A.

PY - 1996/12/1

Y1 - 1996/12/1

N2 - We present a new method to compute solutions to the general multiblock l1 control problem. The method is based on solving a standard H2 problem and a finite-dimensional semidefinite quadratic programming problem of appropriate dimension. The new method has most of the properties that separately characterize many existing approaches. In particular, as the dimension of the quadratic programming problem increases, this method provides converging upper and lower bounds on the optimal l1 norm and, for well posed multiblock problems, ensures the convergence in norm of the suboptimal solutions to an optimal l1 solution. The new method does not require the computation of the interpolation conditions, and it allows the direct computation of the suboptimal controller.

AB - We present a new method to compute solutions to the general multiblock l1 control problem. The method is based on solving a standard H2 problem and a finite-dimensional semidefinite quadratic programming problem of appropriate dimension. The new method has most of the properties that separately characterize many existing approaches. In particular, as the dimension of the quadratic programming problem increases, this method provides converging upper and lower bounds on the optimal l1 norm and, for well posed multiblock problems, ensures the convergence in norm of the suboptimal solutions to an optimal l1 solution. The new method does not require the computation of the interpolation conditions, and it allows the direct computation of the suboptimal controller.

UR - http://www.scopus.com/inward/record.url?scp=0030421726&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030421726&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0030421726

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 4028

EP - 4033

BT - Proceedings of the IEEE Conference on Decision and Control

A2 - Anon, null

T2 - Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4)

Y2 - 11 December 1996 through 13 December 1996

ER -