Centralized tensor product model form | IEEE Conference Publication | IEEE Xplore

Centralized tensor product model form


Abstract:

The main objective of the paper is to propose the centralization of the tensor product model form and HOSVD based canonical form of linear parameter-varying models. We sh...Show More

Abstract:

The main objective of the paper is to propose the centralization of the tensor product model form and HOSVD based canonical form of linear parameter-varying models. We show the advantages of the proposed centralization in the domain of control theory with mathematical analysis as well as with numerical examples.
Date of Conference: 21-22 January 2008
Date Added to IEEE Xplore: 07 March 2008
ISBN Information:
Conference Location: Herlany, Slovakia
References is not available for this document.

I. Introduction

Modern control theory mainly focuses on analysis and control design based on Linear Matrix Inequalities (LMI) in Linear Parameter Varying (LPV) system representations. Currently, it seems to be the most widespread approach to achieve robust and efficient nonlinear control results. These approaches usually prepare the system model for LMI design based on the analytical derivations. This requires a series of idiosyncratic and rather sophisticated analytical methods. Although we have the analytical solutions, the final result of the LMI design and the implementation of the controller based on numerical computations is approximative from the perspective of the final realization.

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1.
P. Baranyi, "TP model transformation as a way to LMI based controller design," IEEE Transaction on Industrial Electronics, vol. 51, no. 2, pp. 387-400, April 2004.
2.
L. Szeidl, P. Baranyi, Z. Petres, and P. Várlaki, "Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models," in Proceedings of 3rd International Symposium on Computational Intelligence and Intelligent Informatics (ISCIII 2007), Agadir, Morocco, March 28-30 2007, pp. 111-116.
3.
P. Baranyi, Z. Petres, P. Várkonyi, P. Korondi, and Y. Yam, "Determination of different polytopic models of the prototypical aeroelastic wing section by TP model transformation," Journal of Advanced Computational Intelligence, vol. 10, no. 4, pp. 486-493, 2006.
4.
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6.
P. Baranyi, "Tensor-product model-based control of two-dimensional aeroelastic system," Journal of Guidance, Control, and Dynamics, vol. 29, no. 2, pp. 391-400, May-June 2005.
7.
_, "Output feedback control of two-dimensional aeroelastic system," Journal of Guidance, Control, and Dynamics, vol. 29, no. 3, pp. 762-767, May-June 2005.
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References

References is not available for this document.