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L∞ Observer for Uncertain Linear Systems
Authors:Weixin Han  Zhenhua Wang  Yi Shen  Juntong Qi
Abstract:In this paper, an L observer design method is proposed for linear system subject to parameter uncertainty and bounded disturbance. The proposed L 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 observer are derived and expressed in terms of linear matrix inequalities (LMIs). The novelty of the proposed method is that we develop an L 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.
Keywords:L∞   observer  parameter uncertainty  peak‐to‐peak  disturbance attenuation
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