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4. LMI Observer Design for a Class of Tubular Reactors

Author

Alain Vande Wouver, Ivan Francisco Yupanqui Tello, and Daniel Coutinho

Subjects
Lyapunov function, Pointwise, 0209 industrial biotechnology, Class (set theory), Observer (quantum physics), Exponential convergence, 020208 electrical & electronic engineering, 02 engineering and technology, Linear matrix, symbols.namesake, 020901 industrial engineering & automation, Control theory, Distributed parameter system, 0202 electrical engineering, electronic engineering, information engineering, symbols, Spatial domain, Mathematics
Abstract

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.

Published
2020

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