Controle em rede de sistemas não-lineares: uma abordagem por modelos Fuzzy Takagi-Sugeno

Abstract

The main focus of this work is to propose new approaches for the networked control for classes of nonlinear systems described by Takagi-Sugeno (TS) fuzzy models, taking into account typical constraints imposed by the network, as networked induced (uncertain) time delay and bandwidth limitation. The methodology adopted to obtain less conservative conditions follows the standard results available, focusing on the appropriate choice of Lyapunov-Krasovskii Functional (FLK) and the application of integral (or summation) inequalities in the terms that derive in the derivative (or difference) of the FLK. With the appropriate choice of FLK, with terms that explain the presence of network-induced (uncertain) delay, associated with the use of new integral (or summation) inequalities to relax the time-delay terms, new analysis and synthesis conditions are obtained. The proposed methodology is evaluated both in the context of continuous time and discrete time systems. In order to deal with possible limitations on bandwidth over the network, an event-triggered scheme is used, which decides when or not, a new data will be sent for the control. Some numerical examples are presented to illustrate the possible advantages (and disadvantages) of the proposed methods.