Formal synthesis of stabilizing controllers for periodically controlled linear switched systems

A. Kundu, M. Garcia Soto, P. Prabhakar, in:, 5th Indian Control Conference Proceedings, IEEE, 2019.

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Abstract
In this paper, we address the problem of synthesizing periodic switching controllers for stabilizing a family of linear systems. Our broad approach consists of constructing a finite game graph based on the family of linear systems such that every winning strategy on the game graph corresponds to a stabilizing switching controller for the family of linear systems. The construction of a (finite) game graph, the synthesis of a winning strategy and the extraction of a stabilizing controller are all computationally feasible. We illustrate our method on an example.
Publishing Year
Date Published
2019-05-16
Proceedings Title
5th Indian Control Conference Proceedings
Article Number
8715598
Conference
ICC 2019 - Indian Control Conference
Conference Location
Delhi, India
Conference Date
2019-01-09 – 2019-01-11
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Kundu A, Garcia Soto M, Prabhakar P. Formal synthesis of stabilizing controllers for periodically controlled linear switched systems. In: 5th Indian Control Conference Proceedings. IEEE; 2019. doi:10.1109/INDIANCC.2019.8715598
Kundu, A., Garcia Soto, M., & Prabhakar, P. (2019). Formal synthesis of stabilizing controllers for periodically controlled linear switched systems. In 5th Indian Control Conference Proceedings. Delhi, India: IEEE. https://doi.org/10.1109/INDIANCC.2019.8715598
Kundu, Atreyee, Miriam Garcia Soto, and Pavithra Prabhakar. “Formal Synthesis of Stabilizing Controllers for Periodically Controlled Linear Switched Systems.” In 5th Indian Control Conference Proceedings. IEEE, 2019. https://doi.org/10.1109/INDIANCC.2019.8715598.
A. Kundu, M. Garcia Soto, and P. Prabhakar, “Formal synthesis of stabilizing controllers for periodically controlled linear switched systems,” in 5th Indian Control Conference Proceedings, Delhi, India, 2019.
Kundu A, Garcia Soto M, Prabhakar P. 2019. Formal synthesis of stabilizing controllers for periodically controlled linear switched systems. 5th Indian Control Conference Proceedings. ICC 2019 - Indian Control Conference
Kundu, Atreyee, et al. “Formal Synthesis of Stabilizing Controllers for Periodically Controlled Linear Switched Systems.” 5th Indian Control Conference Proceedings, 8715598, IEEE, 2019, doi:10.1109/INDIANCC.2019.8715598.

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