Stabilizing controller design for state-based switching bilinear systems


Reference:

S. Lin, B. De Schutter, and D. Li, "Stabilizing controller design for state-based switching bilinear systems," Proceedings of the 57th IEEE Conference on Decision and Control, Miami Beach, Florida, pp. 6452-6457, Dec. 2018.

Abstract:

In this paper, controllers are designed for stabilizing state-based switching bilinear systems. The controller is designed based on the special features of bilinear systems comparing with linear systems, and is carried out through three steps: first, deriving the state-based switching linear system corresponding to the switching bilinear system; then, state-feedback controllers are designed to asymptotically stabilize the corresponding switching linear system; finally, stabilizing controllers are obtained for the original system, the switching bilinear system. The stability of the controller is proved step by step through the decreasing of the overall Lyapunov function.

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Bibtex entry:

@inproceedings{LinDeS:18-022,
author={S. Lin and B. {D}e Schutter and D. Li},
title={Stabilizing controller design for state-based switching bilinear systems},
booktitle={Proceedings of the 57th IEEE Conference on Decision and Control},
address={Miami Beach, Florida},
pages={6452--6457},
month=dec,
year={2018},
doi={10.1109/CDC.2018.8618956}
}


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