LMI Observer Design for a Class of Tubular Reactors

This paper is concerned with the observer design for one-dimensional class of nonisothermal tubular reactors considering in-domain pointwise measurements of temperature over the entire spatial domain. A Lyapunov-based design method is derived for the PDE system providing sufficient conditions, in the form of standard linear matrix inequalities (LMIs), for the exponential convergence of the estimation error with a given decay rate. The approach is applied and tested with a representative case of a tubular reactor with non-monotonic kinetics satisfying the sufficient solvability conditions. Simulation results support the effectiveness of the suggested design.