T-S Fuzzy Modeling and PDC Approach to Control of Nonlinear F16 Aircraft Model

Abstract

This paper presents a Takagi-Sugeno fuzzy modeling and linear matrix inequaility (LMI) based parallel distributed compensation (PDC) approach to modeling and control of an F16 aircraft nonlinear model. After presenting dynamics of an F16 nonlinear model, fuzzy model-based control results are discussed in comparison with linear control results. The fuzzy controllers designed using the LMI based PDC approach guarantee not only stability but also decay rate and constraints on control inputs (actuator saturation) and outputs. Finally, simulation results demonstrate that the fuzzy controllers can stabilize the original (not simplified) nonlinear F16 model with given initial conditions although the linear controllers cannot stabilize the systems.