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Stabilization and passification of distributed-order fractional linear systems using methods of preservation
Authors:Guillermo Fernández-Anaya  José-Job Flores-Godoy  Armando-Fabian Lugo-Peñaloza  Rodrígo Muñoz-Vega
Institution:1. Departamento de Física y Matemáticas, Universidad Iberoamericana, México, D. F., Mexico;2. Universidad Autónoma de la Ciudad de México, Centro Histórico, México, D. F., Mexico;1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;2. School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243002, China;3. Electronic and Information Engineering College, Henan University of Science and Technology, Luoyang 471003, China;1. School of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin, China;2. School of Mathematics, Southwest Jiaotong University, Chengdu 611756, Sichuan, China;3. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan, China;1. Department of Probability, Statistics and Actuarial Mathematics, Taras Shevchenko National University of Kyiv, 01601 Kyiv, Ukraine;2. Department of Mathematics, University of Mannheim, 68131 Mannheim, Germany;1. A.P. Ershov Institute of Informatics Systems SB RAS, Novosibirsk, Russian Federation;2. High School of Computer Science Engineering, UCLM, Albacete, Spain
Abstract:This paper studies the stabilization and passification of a class of distributed-order linear time-invariant systems, by using methods of preservation in the frequency domain. Results about preservation of stability and passivity of classical linear time-invariant systems are extended to one more general family of matrix functions. Based on these results, a new approach to the problems of stabilization and passification of distributed-order linear time-invariant systems is presented. Also a result that extends the known techniques for pole placement of classical linear time-invariant systems to the new class of distributed-order linear time-invariant systems is given. Examples are given to show the validity of theoretical results.
Keywords:
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