Successive-approximation approach of optimal control for bilinear discrete-time systems

@inproceedings{Tang2005SuccessiveapproximationAO,
  title={Successive-approximation approach of optimal control for bilinear discrete-time systems},
  author={Gong-You Tang and H. Ma and Bao-Lin Zhang},
  year={2005}
}
A successive-approximation approach designing optimal controllers is developed for bilinear discrete-time systems with a quadratic performance index. By using the successive-approximation approach, the original optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary-value problems. The optimal control law consists of an accurate linear term and a nonlinear compensating term that is the limit of the adjoint vector sequence. Through a finite-step… CONTINUE READING

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