Worst-case disturbances for time-varying systems with application to flexible aircraft

Andrea Iannelli, Peter J Seiler Jr, Andrés Marcos

Research output: Contribution to journalArticle

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 (US)
Pages (from-to)1261-1271
Number of pages11
JournalJournal of Guidance, Control, and Dynamics
Volume42
Issue number6
DOIs
StatePublished - Jan 1 2019

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Time-varying Systems
Time varying systems
Cost functions
aircraft
Aircraft
disturbances
Disturbance
disturbance
Hamiltonians
Cost Function
gusts
costs
Linear Time-varying Systems
Riccati Differential Equation
Hamiltonian Dynamics
gust
Differential equations
flight tests
maneuvers
Quadratic Function

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Worst-case disturbances for time-varying systems with application to flexible aircraft. / Iannelli, Andrea; Seiler Jr, Peter J; Marcos, Andrés.

In: Journal of Guidance, Control, and Dynamics, Vol. 42, No. 6, 01.01.2019, p. 1261-1271.

Research output: Contribution to journalArticle

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