Structurally variable control of time-varying Lurie systems
Abstract
This poses and solves the problem of structurally variable control synthesis for time-varying Lurie systems, which has both theoretical and engineering significance. A theorem on absolute stability of a set related to Lurie systems solves the problem. The theorem is basic for proving control algorithms that ensure absolute stability of a sliding subspace or its stability with finite reachability time. Moreover, they ensure the attraction in the whole of the zero equilibrium state of the whole control system of the plant on N(L). The selection of the sliding subspace can be such that the system nonlinearity does not influence the sliding motion.
Keywords:
time-varying non-linear systems / Structurally variable control systems / stability / non-linear control synthesis / Lurie systemsSource:
International Journal of Control, 2017, 90, 2, 202-216Publisher:
- Taylor & Francis Ltd, Abingdon
DOI: 10.1080/00207179.2016.1173229
ISSN: 0020-7179
WoS: 000392605500005
Scopus: 2-s2.0-84965005785
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Gruyitch, L. T. AU - Ribar, Zoran AU - Bučevac, Zoran M. AU - Jovanović, Radiša PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2563 AB - This poses and solves the problem of structurally variable control synthesis for time-varying Lurie systems, which has both theoretical and engineering significance. A theorem on absolute stability of a set related to Lurie systems solves the problem. The theorem is basic for proving control algorithms that ensure absolute stability of a sliding subspace or its stability with finite reachability time. Moreover, they ensure the attraction in the whole of the zero equilibrium state of the whole control system of the plant on N(L). The selection of the sliding subspace can be such that the system nonlinearity does not influence the sliding motion. PB - Taylor & Francis Ltd, Abingdon T2 - International Journal of Control T1 - Structurally variable control of time-varying Lurie systems EP - 216 IS - 2 SP - 202 VL - 90 DO - 10.1080/00207179.2016.1173229 ER -
@article{ author = "Gruyitch, L. T. and Ribar, Zoran and Bučevac, Zoran M. and Jovanović, Radiša", year = "2017", abstract = "This poses and solves the problem of structurally variable control synthesis for time-varying Lurie systems, which has both theoretical and engineering significance. A theorem on absolute stability of a set related to Lurie systems solves the problem. The theorem is basic for proving control algorithms that ensure absolute stability of a sliding subspace or its stability with finite reachability time. Moreover, they ensure the attraction in the whole of the zero equilibrium state of the whole control system of the plant on N(L). The selection of the sliding subspace can be such that the system nonlinearity does not influence the sliding motion.", publisher = "Taylor & Francis Ltd, Abingdon", journal = "International Journal of Control", title = "Structurally variable control of time-varying Lurie systems", pages = "216-202", number = "2", volume = "90", doi = "10.1080/00207179.2016.1173229" }
Gruyitch, L. T., Ribar, Z., Bučevac, Z. M.,& Jovanović, R.. (2017). Structurally variable control of time-varying Lurie systems. in International Journal of Control Taylor & Francis Ltd, Abingdon., 90(2), 202-216. https://doi.org/10.1080/00207179.2016.1173229
Gruyitch LT, Ribar Z, Bučevac ZM, Jovanović R. Structurally variable control of time-varying Lurie systems. in International Journal of Control. 2017;90(2):202-216. doi:10.1080/00207179.2016.1173229 .
Gruyitch, L. T., Ribar, Zoran, Bučevac, Zoran M., Jovanović, Radiša, "Structurally variable control of time-varying Lurie systems" in International Journal of Control, 90, no. 2 (2017):202-216, https://doi.org/10.1080/00207179.2016.1173229 . .