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Adaptive Control for Systems with Output Constraints Using an Online Optimization Method

Author

Listed:
  • Jiaxing Che

    (University of Connecticut)

  • Michael Santone

    (University of Connecticut)

  • Chengyu Cao

    (University of Connecticut)

Abstract

In this paper, a new controller framework incorporating an L1 adaptive control and an online optimization scheme is presented. This framework provides a method for maintaining output constraints in the presence of non-linear time-varying matched uncertainties by predicting future output trajectories within a finite time horizon. The stability conditions of the system are derived, and the prediction error is characterized. The online optimization is formulated into a linear program problem for which many efficient algorithms exist. Simulation results demonstrate the effectiveness of the controller framework.

Suggested Citation

  • Jiaxing Che & Michael Santone & Chengyu Cao, 2015. "Adaptive Control for Systems with Output Constraints Using an Online Optimization Method," Journal of Optimization Theory and Applications, Springer, vol. 165(2), pages 480-506, May.
    • Handle: RePEc:spr:joptap:v:165:y:2015:i:2:d:10.1007_s10957-014-0615-6
    DOI: 10.1007/s10957-014-0615-6
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    Citations

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    Cited by:

    1. Yuqing Zheng & Guoshan Zhang, 2020. "Suboptimal Control for Nonlinear Systems with Disturbance via Integral Sliding Mode Control and Policy Iteration," Journal of Optimization Theory and Applications, Springer, vol. 185(2), pages 652-677, May.
    2. Yusheng Zhou & Zaihua Wang & Kwok-wai Chung, 2019. "Turning Motion Control Design of a Two-Wheeled Inverted Pendulum Using Curvature Tracking and Optimal Control Theory," Journal of Optimization Theory and Applications, Springer, vol. 181(2), pages 634-652, May.

    More about this item

    Keywords

    Adaptive control; Output constraints; Online optimization; Non-linear time-varying matched uncertainties; L1 adaptive controller;
    All these keywords.

    JEL classification:

    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance

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