DocumentCode :
308325
Title :
A quadratic programming approach for solving the l1 multi-block problem
Author :
Elia, Nicola ; Dahlch, M.A.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., MIT, MA, USA
Volume :
4
fYear :
1996
fDate :
11-13 Dec 1996
Firstpage :
4028
Abstract :
We present a new method to compute solutions to the general multi-block 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 multi-block 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
Keywords :
convergence; matrix algebra; quadratic programming; suboptimal control; finite-dimensional semidefinite quadratic programming problem; l1 multi-block problem; optimal l1 solution; standard H2 problem; suboptimal controller; suboptimal solutions; Control systems; Delay; Dynamic programming; Equations; Finite impulse response filter; Interpolation; Optimal control; Quadratic programming; State-space methods; Upper bound;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
ISSN :
0191-2216
Print_ISBN :
0-7803-3590-2
Type :
conf
DOI :
10.1109/CDC.1996.577365
Filename :
577365
Link To Document :
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