CLC number: O224
On-line Access:
Received: 1998-12-31
Revision Accepted: 1999-06-01
Crosschecked: 0000-00-00
Cited: 0
Clicked: 5419
WU Jun, CHU Jian. MIXED
@article{title="MIXED
author="WU Jun, CHU Jian",
journal="Journal of Zhejiang University Science A",
volume="1",
number="1",
pages="66-70",
year="2000",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2000.0066"
}
%0 Journal Article
%T MIXED
%A WU Jun
%A CHU Jian
%J Journal of Zhejiang University SCIENCE A
%V 1
%N 1
%P 66-70
%@ 1869-1951
%D 2000
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2000.0066
TY - JOUR
T1 - MIXED
A1 - WU Jun
A1 - CHU Jian
J0 - Journal of Zhejiang University Science A
VL - 1
IS - 1
SP - 66
EP - 70
%@ 1869-1951
Y1 - 2000
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2000.0066
Abstract: The dual formulation of the discrete-time mixed l2/l1 control design problem was achieved by using the duality theory of Lagrange multipliers. For some special dual mixed l2/l1 problems, an approximation method for the optimal value is introduced. A suboptimal value of the infinite-dimensional dual problem can be obtained by solving a sequence of truncated problems. The convergence property of the solution scheme is investigated. This paper gives a low approximation method for the primal problem.
[1]Dahleh, M.A. and Khammash, M., 1993. Controller design for plants with structured uncertainty. Automatica, 29(1): 37-56.
[2]Dullerud, G.E. and Francis, B.A., 1992. L1 analysis and design of sampled-data systems. IEEE Trans. Automat. Contr., 37(4): 436-446.
[3]Francis, B.A., 1987. A Course in H∞ Control Theory. Springer-Verlag, Berlin, p.57-66.
[4]Luenberger, D.G., 1969. Optimization by Vector Space Methods. John Wiley, New York, p.149-159.
[5]McDonald, J.S. and Pearson, J.B., 1991. l1 optimal control of multivariable systems with output norm constraints. Automatica, 27(2): 317-329.
[6]Staffans, O.J., 1993. The four-block model matching problem in l1 and infinite-dimensional linear programming. SIAM J. Contr. Optim., 31(3): 747-779.
[7]Wu, Jun and Chu, Jian, 1996. Mixed H2/l1 control for discrete-time systems. Proc. 13th IFAC Congress, San Francisco, vol.G; p.453-457.
Open peer comments: Debate/Discuss/Question/Opinion
<1>