Projeto de controladores Takagi-Sugeno baseados em modelos de referência

Abstract

Takagi-Sugeno fuzzy control techniques allow the synthesis of nonlinear controllers based on Linear Matrix Inequalities, as long as a fuzzy Takagi-Sugeno model of the system is available. In this work, a fuzzy candidate Lyapunov function and recently proposed synthesis conditions serve as basis to design model reference based fuzzy Takagi-Sugeno controllers. In addition, some modifications are proposed generalizing a numerical technique used to obtain the fuzzy models. Such synthesis conditions are applied to the problem of synchronizing two chaotic oscillators coupled unidirectionally by a transmission channel, and to the problem of controlling the longitudinal dynamics of a fixed wing aircraft.Regarding the chaotic oscillators synchronization problem, one of the contributions is the proposition of a synchronization strategy that formally incorporates the transmitted signal distortion introduced by a band-limited transmission channel. On the problem of fixed wing aircraft longitudinal control, the final control law can be seen as a gain scheduled controller, whose scheduling strategy is automatically accomplished relying on the TS representation of the controller. In addition, the use of a closed loop reference model simplify the performance requirements specification related to the design of piloting assistance systems - a motivating problem to the present work.