Linear parameter varying modeling of the Boeing 747-100/200 longitudinal motion

Abstract

This paper presents a Linear Parameter Varying (LPV) modeling approach for the longitudinal motion of a Boeing 747 series 100/200. The three approaches used to obtain the quasi-LPV models are Jacobian Linearisation, State Transformation, and Function Substitution. Linear Parameter Varying models are a key step in applying LPV control synthesis which guarantee a level of stability and robustness for the closed loop. The models are obtained for the Upand -Away flight envelope of the Boeing 747-100/200. Comparisons of the three models in terms of their advantages, drawbacks and modeling difficulty are presented. Open loop time responses show all the three quasi-LPV models matching the behavior of the nonlinear model when in the trim region. The Function Substitution quasi-LPV model in this particular case is the only valid model for the full flight envelope of interest.