TY - JOUR
T1 - Globally optimal robust control for systems with time-varying nonlinear perturbations
AU - VanAntwerp, Jeremy G.
AU - Braatz, Richard D.
AU - Sahinidis, Nikolaos V.
N1 - Funding Information:
Ssupported by the DuPont Young Faculty Award. §Department of Mechanical & Industrial Engineering, 1206 West Green Street Urbana, Illinois 61801. ~lsupported by the Petroleum l~esearch Fund and the National Science Foundation under grant DMII 94-14615.
PY - 1997
Y1 - 1997
N2 - A computational approach is developed for designing a globally optimal controller which is robust to time-varying nonlinear perturbations in the plant. This controller design problem is formulated as an optimization with bilinear matrix inequality (BMI) constraints, and is solved to optimality by a branch and bound algorithm. The algorithm is applied to a reactive ion etcher, and gives superior performance while providing robustness to nonlinear plant/model mismatch. To the authors' knowledge, the corresponding optimization problem is the largest BMI control problem ever solved.
AB - A computational approach is developed for designing a globally optimal controller which is robust to time-varying nonlinear perturbations in the plant. This controller design problem is formulated as an optimization with bilinear matrix inequality (BMI) constraints, and is solved to optimality by a branch and bound algorithm. The algorithm is applied to a reactive ion etcher, and gives superior performance while providing robustness to nonlinear plant/model mismatch. To the authors' knowledge, the corresponding optimization problem is the largest BMI control problem ever solved.
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U2 - 10.1016/s0098-1354(97)87490-x
DO - 10.1016/s0098-1354(97)87490-x
M3 - Article
AN - SCOPUS:0000108685
SN - 0098-1354
VL - 21
SP - S125-S130
JO - Computers and Chemical Engineering
JF - Computers and Chemical Engineering
IS - SUPPL.1
ER -