LQ-optimal control for a class of time-varying coupled PDEs-ODEs system
نویسندگان
چکیده
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 infinitedimensional Hilbert state-space realization of the system and operator Riccati equation (ORE). In order to solve the optimal control problem, the ORE is converted to a set of differential and algebraic matrix Riccati equations. The feedback gain can then be found by solving the resulting matrix Riccati equations. The control policy is applied to a system of continuous stirred tank reactor (CSTR) and a plug flow reactor (PFR) in series and the controller performance is evaluated by numerical simulation.
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