ICTS

Singularities frequently occur in our every daily lives. Singularization and its proper management is one of our most important challenging tasks. In this talk I describe a few approaches and obstacles in the analysis of singularities appearing in the mathematical models of many real life problems. I further explain how we can benefit from singularities for a proper engineering of a real life task: gain a desirable outcome while simultaneously avoid the possible unwanted consequences. I describe how we design a nonlinear controller with smooth maneuvering possibilities by solving a mathematical classification problem. Our proposed method is a new alternative to the existing methods in nonlinear control theory. I try my best to avoid the subject's technicalities, theorems and formulas while I do illustrate the general ideas behind the obtained results by my research team. I describe a few engineering examples where our methods can be applied on them; these include ship control, music note programming, coupled oscillators, and anti-lock braking control system. These examples illustrate the typical controller problems applicable by our introduced method.