TY - JOUR
T1 - A matlab package for multiobjective control synthesis
AU - Qi, X.
AU - Khammash, Mustafa H.
AU - Salapaka, Murti V.
PY - 2001
Y1 - 2001
N2 - In this paper, a Matlab package, GMO 1.0, is introduced for synthesizing (sub-)optimal controllers for the general multiobjective (GMO) control problem involving ℓ1 norm, Η2 norm, Η∞ norm, time-domain constraint (TDC), and controller structure constraints. Formulated in [1], the GMO framework encompasses a large class of multiobjective problems which can be effectively solved by using GMO 1.0 package (e.g. ℓ1/Η∞, ℓ1/TDC, etc). While global convergence is guaranteed for the convex finite dimensional suboptimal problems, this set of routines yields a rational linear time-invariant controller delivering performance within any prescribed tolerance of the optimal cost. In this paper, several multiobjective design problems are solved to demonstrate the effectiveness of the framework and the software.
AB - In this paper, a Matlab package, GMO 1.0, is introduced for synthesizing (sub-)optimal controllers for the general multiobjective (GMO) control problem involving ℓ1 norm, Η2 norm, Η∞ norm, time-domain constraint (TDC), and controller structure constraints. Formulated in [1], the GMO framework encompasses a large class of multiobjective problems which can be effectively solved by using GMO 1.0 package (e.g. ℓ1/Η∞, ℓ1/TDC, etc). While global convergence is guaranteed for the convex finite dimensional suboptimal problems, this set of routines yields a rational linear time-invariant controller delivering performance within any prescribed tolerance of the optimal cost. In this paper, several multiobjective design problems are solved to demonstrate the effectiveness of the framework and the software.
KW - Linear matrix inequality (LMI)
KW - Multiobjective control
KW - Robust optimal control
KW - Semidefinite programming (SDP)
KW - Time-domain constraint
KW - ℓ/Η/Η
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U2 - 10.1109/CDC.2001.980514
DO - 10.1109/CDC.2001.980514
M3 - Article
AN - SCOPUS:0035705567
SN - 0191-2216
VL - 4
SP - 3991
EP - 3996
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
ER -