Adaptive asymptotic tracking control of uncertain time-driven switched linear systems


Reference:
S. Yuan, B. De Schutter, and S. Baldi, "Adaptive asymptotic tracking control of uncertain time-driven switched linear systems," IEEE Transactions on Automatic Control, vol. 62, no. 11, pp. 5802-5807, Nov. 2017.

Abstract:
This paper establishes a novel result for adaptive asymptotic tracking control of uncertain switched linear systems. The result exploits a recently proposed stability condition for switched systems. In particular, a time-varying positive definite Lyapunov function is used to develop a novel piecewise continuous model-reference adaptive law and a dwell-time switching law. In contrast with previous research, where asymptotic tracking was possible only in the presence of a common Lyapunov function for the reference models, in this work asymptotic tracking is shown in a more general setting. Additionally, in the presence of persistence of excitation, the controller parameter estimation errors will converge to zero asymptotically. The main contribution of this work consists in establishing a symmetry between adaptive control of classical non-switched linear systems and adaptive control of switched linear systems. A practical example with an electro-hydraulic system is adopted to illustrate the results.


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Bibtex entry:

@article{YuaDeS:16-027,
        author={S. Yuan and B. {D}e Schutter and S. Baldi},
        title={Adaptive asymptotic tracking control of uncertain time-driven switched linear systems},
        journal={IEEE Transactions on Automatic Control},
        volume={62},
        number={11},
        pages={5802--5807},
        month=nov,
        year={2017},
        doi={10.1109/TAC.2016.2639479}
        }



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