Algorithms of the TP Model Transformation
This chapter proposes the generalized TP model transformation that includes various TP model manipulation facilities into one conceptuar framework. The generalized TP model transformation includes extensions such as the HOSVD and quasi HOSVD canonical form, the Bilinear-, Multi, Pseudo, and convex TP model transformation which all serves the goal to have a Transformation technique that is capable of freely manipulating all components of the TP model according to various conditions.
KeywordsBi-linear- Pseudo- Muti- Generalised TP model transformtion
- 5.P. Baranyi, Z. Petres, Sz. Nagy, TPtool — tensor product MATLAB toolbox. Website (2007). http://tp-control.hu/
- 6.P. Baranyi, Y. Yam, P. Varlaki, Tensor Product Model Transformation in Polytopic Model-Based Control (CRC/Taylor & Francis Group, Boca Raton/London, 2013)Google Scholar
- 7.Sz. Nagy, Z. Petres, P. Baranyi, H. Hashimoto, Computational relaxed TP model transformation: restricting the computation to subspaces of the dynamic model. Asian J. Control 11(5), 461–475 (2009)Google Scholar
- 8.L. Szeidl, P. Várlaki, HOSVD based canonical form for polytopic models of dynamic systems. J. Adv. Comput. Intell. Intell. Infor. 13(1), 52–60 (2009)Google Scholar
- 10.P. Várkonyi, D. Tikk, P. Korondi, P. Baranyi, A new algorithm for RNO-INO type tensor product model representation, in Proceedings of the IEEE 9th International Conference on Intelligent Engineering Systems (2005), pp. 263–266Google Scholar