Robust output feedback control: convex lifting based approach

Ngoc Anh Nguyen (1, 2) , Sorin Olaru (1, 2)

1 L2S - Laboratoire des signaux et systèmes
2 CentraleSupélec

This paper presents a design method for robust output feedback control of linear, discrete-time, invariant systems affected by both state and output additive disturbances. The method relies on the so-called convex lifting, which is defined on the N −step controllable set. It is proven that the proposed method guarantees the recursive feasibility and robust stability in the sense that the closed loop converges to a given robust positively invariant set as time tends to infinity. Moreover, the method only requires the resolution of a linear programming problem at each sampling instant. Finally, a numerical example is considered to illustrate the methodology.

Domaines: Sciences de l'ingénieur [physics]

Ngoc Anh Nguyen, Sorin Olaru. Robust output feedback control: convex lifting based approach. 56th IEEE Conference on Decision and Control (CDC 2017), Dec 2017, Melbourne, Australia. pp.2330-2335, ⟨10.1109/cdc.2017.8263990⟩. ⟨hal-01692255⟩