H ∞ Observer-Based Control for Uncertain Takagi-Sugeno Fuzzy Systems with Application to a four-Tank Process

The design of H∞ observer-based controllers for nonlinear systems represented by Takagi–Sugeno models in continuous time is studied here, in the presence of parameter uncertainties and external disturbances. Conditions are developed in terms of Linear Matrix Inequalities (LMIs), thanks to a change of variables to avoid bilinear terms. Thanks to this, observer and controller gains can be...