On The Design and Characteristics of a Sub-Optimal Observer for Boeing-747

Abstract

LPV (Linear Parameter Varying) system is an important class of system, as it covers many physical systems. In the existing design theory related to control system, the major part is related to linear and non-linear systems. However, the LPV system is getting prominence and hence is an attractive area of research. Control issues linked with LPV systems are an emerging area of modern research. To investigate the control of this predominant class, the idea of observer design has been carried out in this article. In this paper, an observer based on RKF (Routine KalmanFiltering) scheme and LQR (Linear Quadratic Regulator) is employed for a set of linear parameter variations. The state and gain matrices are scheduled using an interpolation method, which is linear according to each parameter and is expected to be non-linear globally. For stability of observer, bound on rate of parameter variation is imposed. For simulation purpose, a real life case study of Boeing-747 is adopted. The proposed scheme is implemented for the stated LPV system. All the associated states of the system are examined with and without observer. Results obtained in this work show better performance as manifested by errors. Error in measurement is much reduced by employing this scheme. Short-listed features are presented in this paper to comprehend the performance of observer.