Our contribution is devoted to a constructive overview of the implicit system approach in modern control of switched dynamic models. We study a class of non-stationary autonomous switched systems and formally establish the existence of solution. We next incorporate the implicit systems approach into our consideration. At the beginning of the contribution, we also develop a specific system example that is used for illustrations of various system aspects that we consider. Our research involves among others a deep examination of the reachability property in the framework of the implicit system framework that we propose. Based on this methodology, we finally propose a resulting robust control design for the switched systems under consideration and the proposed control strategy is implemented in the context of the illustrative example.
CITATION STYLE
Bonilla Estrada, M., Malabre, M., & Azhmyakov, V. (2020). Advances of implicit description techniques in modelling and control of switched systems. In Lecture Notes in Control and Information Sciences (Vol. 482, pp. 203–239). Springer Verlag. https://doi.org/10.1007/978-3-030-18572-5_7
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