Controle Fuzzy para sistemas takaki-sugeno: condições aprimoradas e aplicações

Abstract

In this work, new rigorous and systematic conditions for analysis and design of fuzzy control systems based in Takagi-Sugeno models are proposed, that guarantee not only stability but also performance in closed-loop. Nonlinearities, parametric uncertainties and disturbances are challenges, in one degree or another, to almost every control system design nowadays. When such issues start to matter, Takagi-Sugeno fuzzy systems are very useful due to its ability to represent, precisely orapproximately, any nonlinear dynamics over a compact domain by resorting to a combination of several local linear models. The project methodology is based on state-space control, aggregating stability in the Lyapunov sense, fuzzy systems theory, and fundamentals of robust control. Such criteria are recast as Linear Matrix Inequalities, which can be efficiently solved by means of several computational toolboxes. The results are compared with the current literature in some numericexamples. Finally, the effectiveness is tested in a practical experiment based on Chuas chaotic oscillator.