Paper
Estimation and Control for the Gray-Scott Model
Keywords:
reaction-diffusion system,
pattern formation,
equilibrium point,
observer,
control system design
2023 Volume 59 Issue 3 Pages 144-152
Details
2023 Volume 59 Issue 3 Pages 144-152
State Estimation and control problems fot the Gray-Scott model are considerd. The model is descirbed as nonlinear partial equations with real-valued two-dimensional spatio-temporal variables, which are related to a chemical reaction. Control problem for the Gray-Scott model is formulated. An observer which estimates the state of the Gray-Scott model is proposed. A necessary condition of the observer gain is derived from analysis of the linearlized models around the equilibrium points. A result of pattern formation control is presented.
