Dichotomic basis approach to solving hyper-sensitive optimal control problems

@article{Rao1999DichotomicBA,
  title={Dichotomic basis approach to solving hyper-sensitive optimal control problems},
  author={A. V. Rao and Kenneth D. Mease},
  journal={Automatica},
  year={1999},
  volume={35},
  pages={633-642}
}
As a step toward developing a general method for determining the underlying geometric structure of two time-scale optimally controlled nonlinear systems, we define a degenerate class of two time-scale optimal control problems, called completely hypersensitive problems, and propose an indirect solution method for this class of problems. The method uses a dichotomic basis to split the Hamiltonian vector field into its stable and unstable components. An accurate approximation to the optimal… CONTINUE READING

Figures and Topics from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 21 CITATIONS

Manifold-Following Approximate Solution of Completely Hypersensitive Optimal Control Problems

  • J. Optimization Theory and Applications
  • 2016
VIEW 19 EXCERPTS
CITES BACKGROUND & METHODS

Using Lyapunov Vectors and Dichotomy to Solve Hyper-Sensitive Optimal Control Problems

  • Proceedings of the 45th IEEE Conference on Decision and Control
  • 2006
VIEW 15 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

References

Publications referenced by this paper.
SHOWING 1-10 OF 23 REFERENCES

Applied optimal control

VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

Extension of computational singular perturbation methodology to optimal control problems

A. V. Rao
  • Ph.D. Thesis,
  • 1996
VIEW 2 EXCERPTS

Modal feedback control on chaotic trajectories.

  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1994
VIEW 1 EXCERPT