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Multivariable algebraic loops with complementarity constraints enforcing some KKT conditions

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

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Multivariable algebraic loops with complementarity constraints enforcing some KKT conditions. / Adegbege, A.A.; Heath, W.P.
2015. 1033-1039 Paper presented at 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton), Monticello, IL., United States.

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

HarvardHarvard

Adegbege, AA & Heath, WP 2015, 'Multivariable algebraic loops with complementarity constraints enforcing some KKT conditions', Paper presented at 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton), Monticello, IL., United States, 30/09/14 - 3/10/14 pp. 1033-1039. https://doi.org/10.1109/ALLERTON.2014.7028568

APA

Adegbege, A. A., & Heath, W. P. (2015). Multivariable algebraic loops with complementarity constraints enforcing some KKT conditions. 1033-1039. Paper presented at 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton), Monticello, IL., United States. https://doi.org/10.1109/ALLERTON.2014.7028568

CBE

Adegbege AA, Heath WP. 2015. Multivariable algebraic loops with complementarity constraints enforcing some KKT conditions. Paper presented at 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton), Monticello, IL., United States. https://doi.org/10.1109/ALLERTON.2014.7028568

MLA

Adegbege, A.A. and W.P. Heath Multivariable algebraic loops with complementarity constraints enforcing some KKT conditions. 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton), 30 Sept 2014, Monticello, IL., United States, Paper, 2015. 7 p. https://doi.org/10.1109/ALLERTON.2014.7028568

VancouverVancouver

Adegbege AA, Heath WP. Multivariable algebraic loops with complementarity constraints enforcing some KKT conditions. 2015. Paper presented at 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton), Monticello, IL., United States. doi: 10.1109/ALLERTON.2014.7028568

Author

Adegbege, A.A. ; Heath, W.P. / Multivariable algebraic loops with complementarity constraints enforcing some KKT conditions. Paper presented at 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton), Monticello, IL., United States.7 p.

RIS

TY - CONF

T1 - Multivariable algebraic loops with complementarity constraints enforcing some KKT conditions

AU - Adegbege, A.A.

AU - Heath, W.P.

PY - 2015/2/5

Y1 - 2015/2/5

N2 - In this paper, we address the wellposedness and online resolution of algebraic loop arising from the feedback interconnection of a linear time invariant system and a static nonlinearity whose input-output characteristics enforce some KKT optimality conditions. We establish sufficient conditions for the wellposedness of such algebraic loops using the theory of linear complementarity problems. In particular, we show that wellposedness is equivalent to the existence and uniqueness of solution of a convex optimization problem for which efficient solution algorithms are well established. The application of the results to constrained control problem is illustrated using a multivariable antiwindup design.

AB - In this paper, we address the wellposedness and online resolution of algebraic loop arising from the feedback interconnection of a linear time invariant system and a static nonlinearity whose input-output characteristics enforce some KKT optimality conditions. We establish sufficient conditions for the wellposedness of such algebraic loops using the theory of linear complementarity problems. In particular, we show that wellposedness is equivalent to the existence and uniqueness of solution of a convex optimization problem for which efficient solution algorithms are well established. The application of the results to constrained control problem is illustrated using a multivariable antiwindup design.

U2 - 10.1109/ALLERTON.2014.7028568

DO - 10.1109/ALLERTON.2014.7028568

M3 - Papur

SP - 1033

EP - 1039

T2 - 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton)

Y2 - 30 September 2014 through 3 October 2014

ER -