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Journal of Systems Science and Complexity

, Volume 20, Issue 3, pp 362–369 | Cite as

Improved Robust H-Infinity Estimation for Uncertain Continuous-Time Systems

  • Aiguo WuEmail author
  • Huafeng Dong
  • Guangren Duan
Article

Abstract

The design of full-order robust estimators is investigated for continuous-time polytopic uncertain systems. The main purpose is to obtain a stable linear estimator such that the estimation error system remains robustly stable with a prescribed H attenuation level. Firstly, a simple alternative proof is given for an improved LMI representation of H performance proposed recently. Based on the performance criterion which keeps the Lyapunov matrix out of the product of the system dynamic matrices, a sufficient condition for the existence of the robust estimator is provided in terms of linear matrix inequalities. It is shown that the proposed design strategy allows the use of parameter-dependent Lyapunov functions and hence it is less conservative than the earlier results. A numerical example is employed to illustrate the feasibility and advantage of the proposed design.

Keywords

Conservativeness estimation parameter-dependence polytopic uncertainty 

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Copyright information

© Springer Science + Business Media, LLC 2007

Authors and Affiliations

  1. 1.Center for Control Theory and Guidance TechnologyHarbin Institute of TechnologyHarbinChina
  2. 2.Information and Control Research Center, Shenzhen Graduate SchoolHarbin Institute of TechnologyShenzhenChina

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