Worst-Case Disturbances for Time-Varying Systems with Application to Flexible Aircraft

Andrea Iannelli, Peter Seiler, Andres Marcos

Research output: Contribution to journalArticle (Academic Journal)peer-review

8 Citations (Scopus)
273 Downloads (Pure)

Abstract

The aim of this Paper is to propose a method for constructing worst-case disturbances to analyze the performance of linear time-varying systems on a finite time horizon. This is primarily motivated by the goal of analyzing flexible aircraft, which are more realistically described as time-varying systems, but the same framework can be applied to other fields in which this feature is relevant. The performance is defined by means of a generic quadratic cost function, and the main result consists of a numerical algorithm to compute the worst-case signal verifying that a given performance objective is not achieved. The developed algorithm employs the solution to a Riccati differential equation associated with the cost function. Theoretically, the signal can also be obtained by simulating the related Hamiltonian dynamics, but this does not represent a numerically reliable strategy, as commented in the Paper. The applicability of the approach is demonstrated with a case study consisting of a flexible aircraft subject to gust during a flight-test maneuver.
Original languageEnglish
Pages (from-to)1261-1271
Number of pages11
JournalJournal of Guidance, Control, and Dynamics
Volume42
Issue number6
Early online date21 Feb 2019
DOIs
Publication statusPublished - Jun 2019

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