DESIGN OF STABLE TAKAGI SUGENO FUZZY CONTROL SYSTEM FOR THREE INTERCONNECTED TANK SYSTEM VIA LMIs WITH CONSTRAINT ON THE OUTPUT

摘要

This paper aims to introduce a systematic design procedure that ensures the stability of nonlinear systems with saturation on output signal described by Takagi-Sugeno (T-S) fuzzy models. The overall design was acquired by the fuzzy “blending” of these linear models. Linear controllers are then designed for each linear model via parallel distributed compensation. As the amplitudes and rates of signal’s change in practical actuators are limited to certain maximum levels, analysis and design of controllers for the output constraint is a very actual topic. Stability analysis can be performed via Linear Matrix Inequalities (LMIs) according to these constraints on the control input/output for T-S fuzzy control systems. These LMIs can be solved using software packages such as MATLAB’s LMI Toolbox. In this paper considered interconnected tank system which described by T-S fuzzy model was used to demonstrate this design procedure. The fuzzy model was developed in MATLAB Simulink and LMI Toolbox was used to generate the code that determines the control vector subject to the design approach introduced in this paper.