Compositional abstraction-based synthesis for cascade discrete-time control systems. Saoud, A., Jagtap, P., Zamani, M., & Girard, A. In IFAC-PapersOnLine, volume 51, pages 13–18, Oxford, Uk, 2018. Elsevier.
Compositional abstraction-based synthesis for cascade discrete-time control systems [link]Paper  doi  abstract   bibtex   
Abstraction-based synthesis techniques are limited to systems with moderate size. Thus to contribute towards scalability of these techniques, in this paper we propose a compositional abstraction-based synthesis for cascade interconnected discrete-time control systems. Given a cascade interconnection of several components, we provide results on the compositional construction of finite abstractions based on the notion of approximate cascade composition. Then, we provide a compositional controller synthesis for cascade interconnection. Finally, we demonstrate the applicability and effectiveness of the results using a numerical example and compare it with different abstraction and controller synthesis schemes.
@inproceedings{saoud_compositional_2018,
	address = {Oxford, Uk},
	title = {Compositional abstraction-based synthesis for cascade discrete-time control systems},
	volume = {51},
	copyright = {CC0 1.0 Universal Public Domain Dedication},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S2405896318311169},
	doi = {10.1016/j.ifacol.2018.08.003},
	abstract = {Abstraction-based synthesis techniques are limited to systems with moderate size. Thus to contribute towards scalability of these techniques, in this paper we propose a compositional abstraction-based synthesis for cascade interconnected discrete-time control systems. Given a cascade interconnection of several components, we provide results on the compositional construction of finite abstractions based on the notion of approximate cascade composition. Then, we provide a compositional controller synthesis for cascade interconnection. Finally, we demonstrate the applicability and effectiveness of the results using a numerical example and compare it with different abstraction and controller synthesis schemes.},
	language = {en},
	urldate = {2018-11-01TZ},
	booktitle = {{IFAC}-{PapersOnLine}},
	publisher = {Elsevier},
	author = {Saoud, Adnane and Jagtap, Pushpak and Zamani, Majid and Girard, Antoine},
	year = {2018},
	pages = {13--18}
}

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