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12. LQR control of an infinite dimensional time-varying CSTR-PFR system*

Author

Moghadam, Amir Alizadeh, Aksikas, Ilyasse, Dubljevic, Stevan, and Fraser Forbes, J.

Abstract

This contribution addresses the development of a Linear Quadratic Regulator (LQR) for a set of time-varying hyperbolic PDEs coupled with a set of time-varying ODEs through the boundary. The approach is based on an infinite-dimensional Hilbert state-space description of the system and the well-known operator Riccati equation (ORE). In order to solve the optimal control problem, the ORE is converted to a set of equivalent differential and algebraic matrix Riccati equations. The feedback operator can then be found by solving the resulting matrix Riccati equations. The performance of the designed control policy is assessed by applying it to a system of interconnecting continuous stirred tank reactor (CSTR) and a plug flow reactor (PFR) through a numerical simulation.

Published
2011
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