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From Output to Input Saturations with OISTeR

Please report any problems to Laurent Burlion (lburlion (at) onera.fr)

Principles and terminology

The acronym OIST denotes an Output to Input Saturation Transformation which was introduced in [1] for nonlinear systems. The main idea is to enforce a time-domain constraint on a given output by saturating the control input.

The acronym OISTeR refers to the recent OIST extensions for Robustness [2]: in other words, the OIST approach can now be applied on uncertain output-feedback linear systems.

The OISTeR Library

Some preliminary functions are under construction

References

[1] L. Burlion, "A new Saturation function to convert an output constraint into an input constraint", in the 20th Mediterranean Conference on Control Automation, Med 2012, pp. 1217-1222, 2012.
[2] L. Burlion and H. de Plinval, "Keeping a Ground Point in the Camera Field of View of a Landing UAV", proc of the IEEE International Conference on Robotics and Automation, ICRA 2013, pp. 5763-5768, 2013.
[3] E. Chambon, L. Burlion and P. Apkarian, "Robust output interval constraint using O/I saturation transformation with application to uncertain linear launch vehicle", in Proc of the European Control Conference, ECC 2015, pp. 1802-1807, 2015.
[4] E. Chambon, L. Burlion and P. Apkarian, "Output to Input Saturation Transformation: Demonstration and Application to Disturbed Linear Systems", proc of the IEEE Conference on Decision and Control, CDC 2015, pp. 7566-7571, 2015
[5] C. Chauffaut, F. Defay, L. Burlion and H. de Plinval, "UAV obstacle avoidance scheme using an Output to Input Saturation Transformation technique", proc of the International Conference on Unmanned Aircraft Systems, ICUAS 2016, pp. 227-234, 2016
[6] E. Chambon, L. Burlion and P. Apkarian, "Time-response shaping using Output to Input Saturation Transformation", to appear in International Journal of Control, 2017