TY - JOUR
T1 - Model reduction of nonstationary LPV systems
AU - Farhood, Mazen
AU - Dullerud, Geir E.
N1 - Funding Information:
Manuscript received November 18, 2005; revised March 30, 2006. Recommended by Associate Editor A. Hansson. This work was supported by the National Science Foundation under Grant ITR-0085917 and by the Air Force Office of Scientific Research under MURI Grant F49620-02-1-0325. M. Farhood is with the School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332 USA (e-mail: [email protected]). G. E. Dullerud is with the Department of Mechanical Science and Engineering, the University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA (e-mail: [email protected]). Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TAC.2006.890480
PY - 2007/2
Y1 - 2007/2
N2 - This paper focuses on the model reduction of nonstationary linear parameter-varying (NSLPV) systems. We provide a generalization of the balanced truncation procedure for the model reduction of stable NSLPV systems, along with a priori error bounds. Then, for illustration purposes, this method is applied to reduce the model of a two-mass translational system. Furthermore, we give an approach for the model reduction of stabilizable and detectable systems, which requires the development and use of coprime factorizations for NSLPV models. For the general class of eventually periodic LPV systems, which includes periodic and finite horizon systems as special cases, our results can be explicitly computed using semidefinite programming.
AB - This paper focuses on the model reduction of nonstationary linear parameter-varying (NSLPV) systems. We provide a generalization of the balanced truncation procedure for the model reduction of stable NSLPV systems, along with a priori error bounds. Then, for illustration purposes, this method is applied to reduce the model of a two-mass translational system. Furthermore, we give an approach for the model reduction of stabilizable and detectable systems, which requires the development and use of coprime factorizations for NSLPV models. For the general class of eventually periodic LPV systems, which includes periodic and finite horizon systems as special cases, our results can be explicitly computed using semidefinite programming.
KW - Balanced truncation
KW - Coprime factors reduction
KW - Linear parameter-varying (LPV) systems
KW - Model reduction
KW - Time-varying systems
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U2 - 10.1109/TAC.2006.890480
DO - 10.1109/TAC.2006.890480
M3 - Article
AN - SCOPUS:33947360775
SN - 0018-9286
VL - 52
SP - 181
EP - 196
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 2
ER -