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The stability analysis of systems with nonlinear feedback expressed by a quadratic program

Research output: Contribution to conference › Paper › peer-review

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The stability analysis of systems with nonlinear feedback expressed by a quadratic program. / Li, G.; Heath, W.P.; Lennox, B.
2007. 4247-4252 Paper presented at Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, United States.

Research output: Contribution to conference › Paper › peer-review

HarvardHarvard

Li, G, Heath, WP & Lennox, B 2007, 'The stability analysis of systems with nonlinear feedback expressed by a quadratic program', Paper presented at Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, United States, 13/12/06 - 15/12/06 pp. 4247-4252. https://doi.org/10.1109/CDC.2006.376768

APA

Li, G., Heath, W. P., & Lennox, B. (2007). The stability analysis of systems with nonlinear feedback expressed by a quadratic program. 4247-4252. Paper presented at Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, United States. https://doi.org/10.1109/CDC.2006.376768

CBE

Li G, Heath WP, Lennox B. 2007. The stability analysis of systems with nonlinear feedback expressed by a quadratic program. Paper presented at Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, United States. https://doi.org/10.1109/CDC.2006.376768

MLA

Li, G., W.P. Heath and B. Lennox The stability analysis of systems with nonlinear feedback expressed by a quadratic program. Proceedings of the 45th IEEE Conference on Decision and Control, 13 Dec 2006, San Diego, United States, Paper, 2007. 6 p. https://doi.org/10.1109/CDC.2006.376768

VancouverVancouver

Li G, Heath WP, Lennox B. The stability analysis of systems with nonlinear feedback expressed by a quadratic program. 2007. Paper presented at Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, United States. doi: 10.1109/CDC.2006.376768

Author

Li, G. ; Heath, W.P. ; Lennox, B. / The stability analysis of systems with nonlinear feedback expressed by a quadratic program. Paper presented at Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, United States.6 p.

RIS

TY - CONF

T1 - The stability analysis of systems with nonlinear feedback expressed by a quadratic program

AU - Li, G.

AU - Heath, W.P.

AU - Lennox, B.

PY - 2007/5/7

Y1 - 2007/5/7

N2 - We consider the stability of the feedback connection of a stable linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program (QP). We establish quadratic constraints from the Karush-Kuhn-Tucker (KKT) conditions that may be used to construct a piecewise quadratic Lyapunov function via the S-procedure. The approach is based on existing results in the literature, but gives a more parsimonious linear matrix inequality (LMI) criterion. Our approach can be extended to model predictive control (MPC), and gives equivalent results to those in the literature but with a much lower dimension LMI criterion

AB - We consider the stability of the feedback connection of a stable linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program (QP). We establish quadratic constraints from the Karush-Kuhn-Tucker (KKT) conditions that may be used to construct a piecewise quadratic Lyapunov function via the S-procedure. The approach is based on existing results in the literature, but gives a more parsimonious linear matrix inequality (LMI) criterion. Our approach can be extended to model predictive control (MPC), and gives equivalent results to those in the literature but with a much lower dimension LMI criterion

U2 - 10.1109/CDC.2006.376768

DO - 10.1109/CDC.2006.376768

M3 - Papur

SP - 4247

EP - 4252

T2 - Proceedings of the 45th IEEE Conference on Decision and Control

Y2 - 13 December 2006 through 15 December 2006

ER -