This book presents a unified view of mathematical modeling, simulation and control of complex non-linear dynamical systems using soft computing techniques and fractal theory. First, a new fuzzy-fractal approach to automated mathematical modeling of non-linear dynamical systems is presented and illustrated with examples on the PROLOG programming language. Second, a new fuzzy-genetic approach to automated simulation of dynamical systems is presented and illustrated with examples in the MATLAB programming language. Third, a new method for model-based adaptive control using a neuro-fussy fractal approach combined with the methods mentioned above is presented and illustrated using MATLAB. Finally, applications of these new methods for modeling, simulation and control of real dynamical systems are presented. The applications contained in this book are from a wide range of areas such as biochemical processes, robotic systems, manufacturing, food industry and chemical processes.

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