Output to Input Saturation Transformation: Demonstration and Application to Disturbed Linear Systems

Emmanuel Chambon (1) , Laurent Burlion (1) , Pierre Apkarian (1)

1 ONERA - The French Aerospace Lab [Toulouse]

In the case of linear systems, control law design is often performed so that the resulting closed-loop meets specific frequency 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 expected bounds on an output variable into time-varying saturations on the synthesized linear control law. It is demonstrated that the resulting closed-loop is stable and satisfies time-domain constraints in the presence of unknown bounded disturbance. An application to a linear ball and beam model is presented.

Mots clés: linear systems; constrained control; time-domain constraint; unknown disturbance

Domaines: Automatique / Robotique

Emmanuel Chambon, Laurent Burlion, Pierre Apkarian. Output to Input Saturation Transformation: Demonstration and Application to Disturbed Linear Systems. 54th IEEE Conference on Decision and Control, Dec 2015, Osaka, Japan. ⟨hal-01239047⟩