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Feedback Control Methodologies for Nonlinear Systems

Author

Listed:
  • S. C. Beeler

    (North Carolina State University)

  • H. T. Tran

    (North Carolina State University)

  • H. T. Banks

    (North Carolina State University)

Abstract

A number of computational methods have been proposed in the literature to design and synthesize feedback controls when the plant is modeled by nonlinear dynamics. However, it is not immediately clear which is the best method for a given problem; this may depend on the nature of the nonlinearities, size of the system, whether the amount of control used or time needed for the method is a concern, and other factors. In this paper, a comprehensive comparison study of five methods for the synthesis of nonlinear control systems is carried out. The performance of the methods on several test problems are studied, and some recommendations are made as to which feedback control method is best to use under various conditions.

Suggested Citation

  • S. C. Beeler & H. T. Tran & H. T. Banks, 2000. "Feedback Control Methodologies for Nonlinear Systems," Journal of Optimization Theory and Applications, Springer, vol. 107(1), pages 1-33, October.
    • Handle: RePEc:spr:joptap:v:107:y:2000:i:1:d:10.1023_a:1004607114958
    DOI: 10.1023/A:1004607114958
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    References listed on IDEAS

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    1. R. W. Beard & G. N. Saridis & J. T. Wen, 1998. "Approximate Solutions to the Time-Invariant Hamilton–Jacobi–Bellman Equation," Journal of Optimization Theory and Applications, Springer, vol. 96(3), pages 589-626, March.
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    Cited by:

    1. Prasanna Parvathy & Jeevamma Jacob, 2021. "Inverse Optimal Control Via Diagonal Stabilization Applied to Attitude Tracking of a Reusable Launch Vehicle," Journal of Optimization Theory and Applications, Springer, vol. 191(2), pages 794-822, December.
    2. Cesar O. Aguilar & Arthur J. Krener, 2014. "Numerical Solutions to the Bellman Equation of Optimal Control," Journal of Optimization Theory and Applications, Springer, vol. 160(2), pages 527-552, February.
    3. Vito Polito, 2020. "Nonlinear Business Cycle and Optimal Policy: A VSTAR Perspective," CESifo Working Paper Series 8060, CESifo.
    4. Li-Gang Lin & Yew-Wen Liang & Wen-Yuan Hsieh, 2020. "Convex Quadratic Equation," Journal of Optimization Theory and Applications, Springer, vol. 186(3), pages 1006-1028, September.

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