TY - GEN
T1 - A convex approach to generalized fixed order interpolation
AU - Feng, C.
AU - Lagoa, C. M.
AU - Sznaier, M.
PY - 2012
Y1 - 2012
N2 - In this paper, we address the problem of finding a fixed order plant that interpolates given data in time and frequency domain, and satisfies additional constraints such as stability and passivity. The comprehensive framework developed in this paper can be used to address a wide range of complex control problems such as system identification with a priori bound on its order, fixed-order controller design and spectral estimation. To solve the proposed interpolation problem, it is first shown that it can be recast as finding a point in a properly defined semi-algebraic set. Then, an efficient numerical algorithm based on convex relaxations of rank minimization is proposed to solve the problem. Numerical examples are provided to illustrate the efficiency of the algorithm.
AB - In this paper, we address the problem of finding a fixed order plant that interpolates given data in time and frequency domain, and satisfies additional constraints such as stability and passivity. The comprehensive framework developed in this paper can be used to address a wide range of complex control problems such as system identification with a priori bound on its order, fixed-order controller design and spectral estimation. To solve the proposed interpolation problem, it is first shown that it can be recast as finding a point in a properly defined semi-algebraic set. Then, an efficient numerical algorithm based on convex relaxations of rank minimization is proposed to solve the problem. Numerical examples are provided to illustrate the efficiency of the algorithm.
UR - http://www.scopus.com/inward/record.url?scp=84869394333&partnerID=8YFLogxK
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U2 - 10.1109/acc.2012.6314709
DO - 10.1109/acc.2012.6314709
M3 - Conference contribution
AN - SCOPUS:84869394333
SN - 9781457710957
T3 - Proceedings of the American Control Conference
SP - 5174
EP - 5181
BT - 2012 American Control Conference, ACC 2012
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2012 American Control Conference, ACC 2012
Y2 - 27 June 2012 through 29 June 2012
ER -