Optimal point-wise discrete control and controllers' allocation strategies for stochastic distributed systems

Aidarous, S.E.;Gevers, Michel;Installe, M.J.
(1976) International Journal of Control — Vol. 24, n° 4, p. 493-508 (1976)

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Authors
  • Aidarous, S.E.
    Author
  • Gevers, MichelUCLouvain
    Author
  • Installe, M.J.
    Author
Abstract
The design of point-wise discrete controllers for a class of stochastic distributed-parameter systems is considered. Assuming a fixed set of controllers' positions, the optimal feedback control is derived using a direct approach in which the infinite dimensional space is approximated using a set of orthonormal functions. The resulting optimal cost is minimized again w.r.t. this set of positions, using gradient techniques, to get the optimal locations for the controller. A one-dimensional diffusion process is used to demonstrate the algorithm.
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Aidarous, S. E., Gevers, M., & Installe, M. J. (1976). Optimal point-wise discrete control and controllers’ allocation strategies for stochastic distributed systems. International Journal of Control, 24(4), 493-508. https://hdl.handle.net/2078.5/65897 (Original work published 1976)