TY - GEN
T1 - Controller design via infinite-dimensional linear programming
AU - Elia, Nicola
AU - Dahleh, Munther A.
AU - Diaz-Bobillo, Ignacio J.
PY - 1993
Y1 - 1993
N2 - This paper addresses the problem of synthesizing controllers to meet specifications that can be represented in terms of linear constraints. A duality result for the problem of minimizing the l1 norm of a closed loop map augmented with linear convex constraints is derived, and it is shown that under mild assumptions, there is no duality gap in the primal-dual programs. The utility of this result is shown through the solution of two problems: the no-overshoot problem, and minimizing the l1 norm of a system subjected to frequency domain constraints.
AB - This paper addresses the problem of synthesizing controllers to meet specifications that can be represented in terms of linear constraints. A duality result for the problem of minimizing the l1 norm of a closed loop map augmented with linear convex constraints is derived, and it is shown that under mild assumptions, there is no duality gap in the primal-dual programs. The utility of this result is shown through the solution of two problems: the no-overshoot problem, and minimizing the l1 norm of a system subjected to frequency domain constraints.
UR - http://www.scopus.com/inward/record.url?scp=0027335281&partnerID=8YFLogxK
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U2 - 10.23919/acc.1993.4793265
DO - 10.23919/acc.1993.4793265
M3 - Conference contribution
AN - SCOPUS:0027335281
SN - 0780308611
SN - 9780780308619
T3 - American Control Conference
SP - 2165
EP - 2169
BT - American Control Conference
PB - Publ by IEEE
T2 - Proceedings of the 1993 American Control Conference
Y2 - 2 June 1993 through 4 June 1993
ER -