Efficient Quasi-Linear Model Predictive Control of a Flexible Aircraft Based on Laguerre Functions

Citation
American Control Conference (ACC 2023)
Contribution to Conference
American Control Conference, ACC 2023 
Publisher DOI
10.23919/ACC55779.2023.10156329
Scopus ID
2-s2.0-85167813030
ISBN
9798350328066
A quasi-linear model predictive controller (qLMPC) based on linear parameter-varying (LPV) systems is proposed for a flexible aircraft. The dynamics of flexible aircraft vary substantially with the flight condition such that LPV systems depending on time-varying scheduling parameters provide a natural modeling framework. A recently proposed velocity algorithm is used for controller design. A sui table LPV system is obtained by applying Jacobian linearization, model order reduction, and state augmentation. The efficiency is increased by approximating the control trajectory with Laguerre functions. An observer is designed to estimate non-measurable states. The controller achieves good tracking performance in nonlinear simulations for aggressive maneuvers during varying flight conditions with and without stability guarantees. The use of Laguerre functions is further demonstrated to significantly decrease the computing time.