Use of the Riccatti Equation On-Line for Adaptively Controlling a CSTR Chemical Reactor.
Edwards, J.B. and Mohd Noor, S.B.
(1995)
Use of the Riccatti Equation On-Line for Adaptively Controlling a CSTR Chemical Reactor.
Research Report.
ACSE Research Report 576
.
Department of Automatic Control and Systems Engineering
Abstract
An idealised nonlinear model of an isothermal continuous stirred-tank reactor (CSTR) is analysed and simulated for optimal control based on the continuous on-line recomputation of a Riccati Controller as proposed by Banks (1). The controller and resulting behaviour are derived analytically and confirmed to be optimal by derivation also via Dynamic Programming. For comparison purposes, the behaviour of the same model under linear proportional control (with feedforward compensation)is derived also and the predicted behavioural patterns confirmed by SIMULINK simulation in both cases.
The Banks controller is shown to out perform the linear version not only in terms of the pre-formulated quadratic cost function but also in terms of response time for systems of equal maximum input excursion. It is shown to tolerate non-negative flow constraints omitted from the pre-formulated cost function.
Metadata
Authors/Creators:
Edwards, J.B.
Mohd Noor, S.B.
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