Discrete-Time Switched Models of Non-linear Fractional-Order Systems

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1196)


In the paper methods for modeling complex, non-linear dynamical systems of non-integer order, using the so-called switched models that are based on the dynamic change of local linear models, depending on the value of an appropriately chosen switching function are discussed. Such a multimodel approach enables a relatively simple description of properties of many complex processes encountered in technology, especially in electrical engineering, automation and robotics, but also in nature, biology, medicine and, for example, in economics. Although the theory of switched systems has been developing intensively since over a dozen or so years, many issues and problems have not been solved yet. This is particularly true for systems of non-integer order. In the paper three type of discrete-time dynamical switched models of fractional systems: Fuzzy Takagi-Sugeno Model (FO FTS), Piecewise Linear Model (FO PWL) and a new one – Mixed Logical Dynamical Model (FO MLD) are proposed. Some examples of applications of such models in control are given.


Switched models Non-integer order calculus Fractional order systems MLD models 


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Authors and Affiliations

  1. 1.Department of Control Engineering and RoboticsWest Pomeranian University of Technology SzczecinSzczecinPoland

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