Prescribed-Performance Tracking for High-Power Nonlinear Dynamics with Time-Varying Unknown Control Coefficients

Reference

M. Lv, Z. Chen, B. De Schutter, and S. Baldi, "Prescribed-Performance Tracking for High-Power Nonlinear Dynamics with Time-Varying Unknown Control Coefficients," Automatica, vol. 146, p. 110584, Dec. 2022.

Abstract

Prescribed-performance control (PPC) for high-power dynamics with time-varying unknown control coefficients requires to address two open problems: a) given a Nussbaum function, which properties hold for the power of the Nussbaum function? b) to avoid high gains, how to design a switching gain that increases only when the tracking error is close to violate the performance bounds? To address the first problem, we show with a counterexample and a positive example that only some Nussbaum functions are suited to handle time-varying unknown control coefficients for high-power dynamics. To address the second problem, we propose a new switching conditional inequality.

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Bibtex entry

@article{LvChe:22-008,
author={M. Lv and Z. Chen and B. {D}e Schutter and S. Baldi},
title={Prescribed-Performance Tracking for High-Power Nonlinear Dynamics with Time-Varying Unknown Control Coefficients},
journal={Automatica},
volume={146},
pages={110584},
month=dec,
year={2022},
doi={10.1016/j.automatica.2022.110584}
}

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