Exponentially Stabilizing Finite- Dimensional Controllers for Linear Distributed Parameter Systems: Galerkin Approximation of Infinite Dimensional Controllers

@inproceedings{Balas1986ExponentiallySF,
  title={Exponentially Stabilizing Finite- Dimensional Controllers for Linear Distributed Parameter Systems: Galerkin Approximation of Infinite Dimensional Controllers},
  author={Mark J. Balas},
  year={1986}
}
Abstract The Galerkin method is presented as a way to develop finite-dimensional controllers for linear distributed parameter systems (DPS). The direct approach approximates the open-loop DPS and then generates the controller from this approximation; the indirect approach approximates the infinite-dimensional stabilizing controller. The indirect approach is shown to converge to the stable closed-loop system consisting of DPS and infinite-dimensional controller; conditions are presented on the… CONTINUE READING

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