Robust output interval constraint using O/I saturation transformation with application to uncertain linear launch vehicle

Chambon, Emmanuel; Burlion, Laurent; Apkarian, Pierre

doi:10.1109/ecc.2015.7330799

Cited by 3 publications

(2 citation statements)

References 15 publications

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“…It also provides a stability proof when inserting the obtained saturations in the closed-loop. Other cases of application were presented in Chambon, Burlion, and Apkarian (2015b).…”

Section: Introductionmentioning

confidence: 99%

Time-response shaping using output to input saturation transformation

Chambon¹,

Burlion²,

Apkarian³

2017

International Journal of Control

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For linear systems, the control law design is often performed so that the resulting closed-loop meets specific frequency-domain requirements. However, in many cases, it may be observed that the obtained controller does not enforce time-domain requirements amongst which the objective of keeping an output variable in a given interval. In this article, a transformation is proposed to convert prescribed bounds on an output variable into time-varying saturations on the synthesized linear control law. This transformation uses some well-chosen time-varying coefficients so that the resulting time-varying saturations do not overlap in the presence of disturbances. Using an anti-windup approach, it is demonstrated that the origin of the resulting closed-loop is globally asymptotically stable and that the regulated variable satisfies the time-domain constraints in the presence of an unknown finite-energy bounded disturbance. An application to a linear ball and beam model is presented.

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“…It also provides a stability proof when inserting the obtained saturations in the closed-loop. Other cases of application were presented in Chambon, Burlion, and Apkarian (2015b).…”

Section: Introductionmentioning

confidence: 99%

Time-response shaping using output to input saturation transformation

Chambon¹,

Burlion²,

Apkarian³

2017

International Journal of Control

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“…To cope with angular velocity limitations, a nominal controller is combined with the so-called OIST methodology. Since in its preliminary form, this technique requires the full state to be measured, an interval observer is proposed developing the ideas introduced in Chambon, Burlion, and Apkarian (2015b). This observer is used to compute upper and lower bounds of the torque induced by the unmeasured flexible modes and external disturbances.…”

Section: Introductionmentioning

confidence: 99%

Attitude tracking control of a flexible spacecraft under angular velocity constraints

Burlion

Biannic

Ahmed‐Ali

2017

International Journal of Control

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In this paper, a new technique is proposed for trajectory tracking of a flexible spacecraft subject to angular velocity constraints. The problem is addressed using an Output to Input Saturation Transformation (OIST) which converts the prescribed bounds into state-dependent saturations on the control input signals. It is shown that an interval observer can be used in combination with the OIST technique to ensure that the constraints remain satisfied despite unmeasured flexible modes and torque disturbances. Some realistic simulations conclude the paper and validate our approach.

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