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Hybrid simulation of adaptive open loop control for parabolic systems

M. Amouroux, J.P. Babary, A. El Jai and J.P. Gouyon

Mathematics and Computers in Simulation (MATCOM), 1978, vol. 20, issue 4, 250-258

Abstract: The “adaptive open loop control” is a compromise between the open loop and the closed loop controls. It consists in estimating the state of the system periodically in such a way that the control can be corrected, taking into account the estimated state, the final desired state and the criterion to be minimized. For a hybrid simulation, a linear parabolic system has been considered, with homogeneous boundary conditions and unknown initial condition. The purpose is to reach, in a finite time, a desired state profile, by minimising an energy criterion. The control is applied through a finite number of actuators (pointwise or by zones); the observation is made through a finite number of sensors. By using the eigenfunction method, it is possible to transform the original model into an infinite dimension set of decoupled ordinary differential equations. A hybrid simulation was carried out in real time, involving a truncated differential system simulated on the analog computer; the state estimation and the control being computed on the digital computer.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:20:y:1978:i:4:p:250-258

DOI: 10.1016/0378-4754(78)90017-4

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