Disturbance Estimation and Rejection for Aircraft Glideslope Regulation in Turbulence: A Matrix SOS Approach

Gaurav Misra, Xiaoli Bai

Research output: Chapter in Book/Report/Conference proceedingConference contribution


In this paper, a robust disturbance observer based controller is presented for glideslope regulation of aircraft in turbulence and with uncertainties in the aerodynamic model. A significant challenge in designing disturbance observers for such system arises from the nonlinear disturbance to state coupling. This state dependent coupling limits the application of disturbance observer based control without resorting to system approximation. Instead of model simplification, this work explicitly accounts for the disturbance to state coupling and leverages the polynomial nature of the system dynamics to design an exponentially convergent disturbance observer. The underlying principle behind synthesis of stable disturbance observers is sum-of-squares (SOS) optimization and in particular, polynomial matrix inequalities (PMI). Through exponential convergence of disturbance estimate, the wind components and aerodynamic uncertainties can be rapidly estimated and then compensated by deploying control surfaces. The efficacy of the proposed approach is demonstrated using the disturbance observer with a nominal dynamic inversion controller for glideslope regulation of an aircraft based on the F/A-18 High Angle of Attack (HARV) model.

Original languageEnglish (US)
Title of host publication2020 American Control Conference, ACC 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781538682661
StatePublished - Jul 2020
Event2020 American Control Conference, ACC 2020 - Denver, United States
Duration: Jul 1 2020Jul 3 2020

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Conference2020 American Control Conference, ACC 2020
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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