L∞ OBSERVER FOR UNCERTAIN LINEAR SYSTEMS

In this paper, an L-infinity observer design method is proposed for linear system subject to parameter uncertainty and bounded disturbance. The proposed L-infinity observer, which satisfies a peak-to-peak disturbances attenuation performance, is designed to overbound the estimation error. Moreover, sufficient conditions for the design of L-infinity observer are derived and expressed in terms of linear matrix inequalities (LMIs). The novelty of the proposed method is that we develop an L-infinity observer that not only can attenuate bounded disturbance but also provides an upper bound of estimation error norm. Simulation results are presented to illustrate the effectiveness of the proposed method.