TY - JOUR
T1 - H∞-optimal control for a class of reaction-diffusion equations
AU - Dzielski, John E.
AU - Nagurka, Mark L.
PY - 1988/6
Y1 - 1988/6
N2 - This paper investigates the control of laminar combustion processes represented by a class of one–dimensional, non-linear, reaction–diffusion equations. The control objective is to regulate the spatial location of a propagating flame front dynamically by varying the fuel-air velocity. It is shown that when viewed from an input–output perspective, the problem is equivalent to the control of a system consisting of linear elements and a single time-varying non–linear element. The system is controlled using a linear compensator that is designed based on an H∞ (minimax) optimality criterion.
AB - This paper investigates the control of laminar combustion processes represented by a class of one–dimensional, non-linear, reaction–diffusion equations. The control objective is to regulate the spatial location of a propagating flame front dynamically by varying the fuel-air velocity. It is shown that when viewed from an input–output perspective, the problem is equivalent to the control of a system consisting of linear elements and a single time-varying non–linear element. The system is controlled using a linear compensator that is designed based on an H∞ (minimax) optimality criterion.
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U2 - 10.1080/00207178808906149
DO - 10.1080/00207178808906149
M3 - Article
AN - SCOPUS:0024030635
SN - 0020-7179
VL - 47
SP - 1947
EP - 1960
JO - International Journal of Control
JF - International Journal of Control
IS - 6
ER -