Integration of real-time and stability constraints via hybrid polytopic partitions

V. Spinu; M. Lazar

doi:10.1109/CCA.2012.6402706

Integration of real-time and stability constraints via hybrid polytopic partitions

V. Spinu, M. Lazar

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

9 Citations (Scopus)

1 Downloads (Pure)

Abstract

This paper investigates the integration of control theory and real-time implementation specifications within a single tractable controller synthesis method. It is proposed to guarantee real-time feasibility through specific low-complexity partitions of the piecewise affine (PWA) control law. The control-theory specification, i.e., stability under state and input constraints, are integrated through conic partitions induced by a polyhedral control Lyapunov function (CLF). The combination of the controller and conic partitions yields the hybrid polytopic partition, which is the cornerstone of the developed synthesis method. Based on the HPP, the controller synthesis is pursued by low complexity linear programming. The effectiveness of the approach is demonstrated in a case-study on real-time control of a buck power converter.

Original language	English
Title of host publication	Proceedings of the 2012 IEEE International Conference on Control Applications (CCA), 3-5 October 2012, Dubrovnik, Croatia
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	226-233
ISBN (Print)	978-1-4673-4504-0
DOIs	https://doi.org/10.1109/CCA.2012.6402706
Publication status	Published - 2012

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abstract = "This paper investigates the integration of control theory and real-time implementation specifications within a single tractable controller synthesis method. It is proposed to guarantee real-time feasibility through specific low-complexity partitions of the piecewise affine (PWA) control law. The control-theory specification, i.e., stability under state and input constraints, are integrated through conic partitions induced by a polyhedral control Lyapunov function (CLF). The combination of the controller and conic partitions yields the hybrid polytopic partition, which is the cornerstone of the developed synthesis method. Based on the HPP, the controller synthesis is pursued by low complexity linear programming. The effectiveness of the approach is demonstrated in a case-study on real-time control of a buck power converter.",

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Integration of real-time and stability constraints via hybrid polytopic partitions. / Spinu, V.; Lazar, M.

Proceedings of the 2012 IEEE International Conference on Control Applications (CCA), 3-5 October 2012, Dubrovnik, Croatia. Piscataway : Institute of Electrical and Electronics Engineers, 2012. p. 226-233.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - This paper investigates the integration of control theory and real-time implementation specifications within a single tractable controller synthesis method. It is proposed to guarantee real-time feasibility through specific low-complexity partitions of the piecewise affine (PWA) control law. The control-theory specification, i.e., stability under state and input constraints, are integrated through conic partitions induced by a polyhedral control Lyapunov function (CLF). The combination of the controller and conic partitions yields the hybrid polytopic partition, which is the cornerstone of the developed synthesis method. Based on the HPP, the controller synthesis is pursued by low complexity linear programming. The effectiveness of the approach is demonstrated in a case-study on real-time control of a buck power converter.

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