Model reduction of bilinear systems based on Laguerre series expansion |
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| Authors: | Xiaolong Wang Yaolin Jiang |
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| Institution: | 1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China;2. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, China;1. School of Electronic and Information, Guangdong Polytechnic Normal University, Guangzhou 510665, PR China;2. School of Medical Information Engineering, Guangzhou University of Chinese Medicine, Guangzhou 510006, PR China;1. Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, China;2. School of Engineering and Digital Arts, The University of Kent, Canterbury, Kent CT2 7NT, UK;1. Department of Mathematics, University of Utah, 155 S 1400 E JWB 233, Salt Lake City, UT 84112, USA;2. Energy & Geoscience Institute, University of Utah, 423 Wakara Way #300, Salt Lake City, UT 84108, USA;1. Department of Electronics, Information and Bioengineering, Politecnico di Milano, I-20133, Milan, Italy;2. Department of Electrical Engineering and Information Technology, University Federico II, 80125 Naples, Italy;1. FEMTO-ST Institute, ENSMM 24, rue Alain Savary, 25000 Besançon, France;2. University of Toulouse, ISAE; 10, av. E. Belin; BP 54032, 31055 Toulouse Cedex 4, France |
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| Abstract: | We present a model reduction method for bilinear systems based on the Laguerre series expansion of the kernels resulting from the Volterra representation theory. By employing a two-sided projection, the reduced order system preserves a desired number of Laguerre coefficients, thereby approximating the original system faithfully. Furthermore, the relationship between the proposed Laguerre-based methods and the moment matching methods is studied, which reveals that these two approaches are equivalent under some specific conditions. |
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