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Hybrid simulation of adaptive open loop control for parabolic systems

Author

Listed:
  • Amouroux, M.
  • Babary, J.P.
  • El Jai, A.
  • Gouyon, J.P.

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.

Suggested Citation

  • Amouroux, M. & Babary, J.P. & El Jai, A. & Gouyon, J.P., 1978. "Hybrid simulation of adaptive open loop control for parabolic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 20(4), pages 250-258.
    • Handle: RePEc:eee:matcom:v:20:y:1978:i:4:p:250-258
    DOI: 10.1016/0378-4754(78)90017-4
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