The Study on Application of T-S Fuzzy Control on Aerocraft Roll Channel Design

Based on the sufficient and necessary condition of quadratic stability for linear parameter varying(LPV) system,Takagi-Sugeno(T-S) fuzzy model was adopted to approach the dynamic model of roll channel for some aircraft.The existence condition of the common positive matrix P was deduced,the design problem of controller was converted to the protruding optimization issue of linear matrix inequalities(LMI).Taking other control characters such as responding speed and the input limit into consideration,the quadratic stability controller which meets general demands was worked out using parallel distributed compensation(PDC) method.The results of digital simulation indicate that the controller solves general stability problem of aircraft control system,and the method is an effective on studying control system design of aircraft.