Modeling, Control and Filtering of Multi-Time-Scale Dynamical Systems Based on fuzzy singularly perturbed models

In this talk, a fuzzy singularly perturbed model is proposed for the modeling, control and filtering of a class of multi-time-scale dynamical systems, such as semiconductor packaging processes, multi-link (joint) flexible manipulators and large scale flexible space structure. The variant expands the idea from Takagi-Sugeno type fuzzy system that the dynamics of a class of distributed parameter systems can be approximated by softly merging locally linear singularly perturbed model, and an increased partition of fuzzy space will lead to a more precise approximation. As a result, the control problem for multi-time scale dynamical systems can be reduced to that for fuzzy singularly perturbed system so that plentiful of theoretical results are hopefully obtained.