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

Iannelli, Andrea; Seiler, Peter; Marcos, Andrés

doi:10.2514/1.g004023

Cited by 20 publications

(17 citation statements)

References 22 publications

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“…Though it appears that the bound from IQC analysis is conservative, it is quite possible that there exist admissible disturbances and initial conditions with a corresponding performance output at the boundary. Recent work 45 on calculating worst‐case disturbances from ℓ 2 may be adaptable to incorporate signal IQCs, in which case such worst‐case conditions could be found.…”

Section: Resultsmentioning

confidence: 99%

Robustness analysis of uncertain time‐varying systems using integral quadratic constraints with time‐varying multipliers

Fry

Jaoude

Farhood

2020

Intl J Robust & Nonlinear

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SummaryThis article presents a dissipativity approach for robustness analysis using the framework of integral quadratic constraints (IQCs). The derived results apply for linear time‐varying nominal systems with uncertain initial conditions. IQC multipliers are used to describe the sets of allowable uncertainty operators, and signal IQC multipliers are used to describe the sets of allowable disturbance signals. The novel concepts of dichotomic nodes and their corresponding factorizations are introduced, which allow for the aforementioned multipliers to be general time‐varying operators. The results are illustrated via the robustness analysis of a flight controller for an unmanned aircraft system tasked to perform a Split‐S maneuver.

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Section: Resultsmentioning

confidence: 99%

Robustness analysis of uncertain time‐varying systems using integral quadratic constraints with time‐varying multipliers

Fry

Jaoude

Farhood

2020

Intl J Robust & Nonlinear

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“…The objective of the analyses here is to investigate the difference between open and closed-loop performance during a finite-horizon manoeuvre. Other aspects, including the importance of capturing the time-varying nature of the problem and a comparison of this approach with traditional gust analyses employed in the aerospace community, were explored in [22].…”

Section: Resultsmentioning

confidence: 99%

“…It is clear from the previous discussions that for aeroelastic systems the properties of the response are markedly dominated by the flight speed V. For these reasons, aircraft maneuvers involving a change in speed are inherently Prompted by these observations, the application of the worst-case LTV analysis framework from [22] to the controllers described in Sec. V-B is reported here.…”

Section: Worst-case Ltv Analysismentioning

confidence: 99%

Flight control design for a highly flexible flutter demonstrator

Luspay

Ossmann

Wuestenhagen

et al. 2019

AIAA Scitech 2019 Forum

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The paper presents the control design approaches for the European research project FLEXOP. The ultimate goal is to develop and apply active flutter suppression and load alleviation techniques on an unmanned flying aircraft demonstrator. Due to the flexible wing of the aircraft new challenges rise for the control design: the traditional rigid body (baseline) control loops have to be augmented with flutter control laws. In our approach, the controllers are designed based on a dynamical model, which is briefly discussed first. Details of the baseline control design, as well as the two different flutter suppression algorithms are discussed in the paper. Hardware-in-the-Loop testing of the controllers are reported before the first test flights of the aircraft.

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“…The corresponding lower bounds are obtained as 0.648 and 0.763. The worst‐case disturbance ‖ d in ‖ 2, [0, T ] ≤ 0.5 for both interconnections are computed by solving the two point boundary value problem as presented in Reference 37. These specific bad disturbances (Figure 14) pushes the state trajectory (dashed line) as far as the computed lower bound in the LTV simulation.…”

Section: Numerical Examplesmentioning

confidence: 99%

Finite horizon robust synthesis using integral quadratic constraints

Buch

Seiler

2021

Intl J Robust & Nonlinear

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We present a robust synthesis algorithm for uncertain linear time‐varying (LTV) systems on finite horizons. The uncertain system is described as an interconnection of a known LTV system and a perturbation. The input–output behavior of the perturbation is specified by time‐domain Integral Quadratic Constraints (IQCs). The objective is to synthesize a controller to minimize the worst‐case performance. This leads to a nonconvex optimization. The proposed approach alternates between an LTV synthesis step and an IQC analysis step. Both induced ℒ2 and terminal Euclidean norm penalties on output are considered for finite horizon performance. The proposed algorithm ensures that the robust performance is nonincreasing at each iteration step. The effectiveness of this method is demonstrated using numerical examples.

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

Cited by 20 publications

References 22 publications

Robustness analysis of uncertain time‐varying systems using integral quadratic constraints with time‐varying multipliers

Robustness analysis of uncertain time‐varying systems using integral quadratic constraints with time‐varying multipliers

Flight control design for a highly flexible flutter demonstrator

Finite horizon robust synthesis using integral quadratic constraints

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