Modelling, Simulation and Control of Non-linear Dynamical Systems: An Intelligent Approach Using Soft Computing and Fractal Theory

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

Professor Patricia Melin has been with the Computer Science Department of the Tijuana Institute of Technology, Mexico for the past two years, and is currently Adjunct Professor at San Diego State University, USA. Before these appointments she was at CETYS University for over ten years. Her current research interests are in neural networks, fuzzy logic, control of non-linear dynamical systems and mathematical modelling and simulation of complex engineering systems. Professor Oscar Castillo has been with the Computer Science Department of the Tijuana Institute of Technology, Mexico for the past several years, and is currently Adjunct Professor at San Diego State University, USA. His research interests lie in fuzzy logic, neural networks, genetic algorithms, robotics and control of dynamical systems.