General concept of orthogonality applied in technical systems

This paper presents main contributions achieved in PhD thesis “Application of orthogonal functions in modeling of dynamical systems and control of systems with fuzzy sliding modes” and results published in over twenty different papers. Thesis is based on new definitions and specific generalizations of orthogonal functions, derived directly in complex domain, and their possible applications in the field of modeling and control of various dynamical systems. Important middle step was design and realization of adequate filters. All the theoretical results are verified on real systems, through the series of experiments.