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 language | English (US) |
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Pages (from-to) | 1261-1271 |
Number of pages | 11 |
Journal | Journal of Guidance, Control, and Dynamics |
Volume | 42 |
Issue number | 6 |
DOIs | |
State | Published - 2019 |
Bibliographical note
Publisher Copyright:© 2018 by the American Institute of Aeronautics and Astronautics, Inc.