Robust variance-constrained filtering for a class of nonlinear stochastic systems with missing measurements

  • Authors:
  • Lifeng Ma;Zidong Wang;Jun Hu;Yuming Bo;Zhi Guo

  • Affiliations:
  • School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex UB8 3PH, UK;Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, China;School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China

  • Venue:
  • Signal Processing
  • Year:
  • 2010

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Abstract

This paper is concerned with the robust filtering problem for a class of nonlinear stochastic systems with missing measurements and parameter uncertainties. The missing measurements are described by a binary switching sequence satisfying a conditional probability distribution, and the nonlinearities are expressed by the statistical means. The purpose of the filtering problem is to design a filter such that, for all admissible uncertainties and possible measurements missing, the dynamics of the filtering error is exponentially mean-square stable, and the individual steady-state error variance is not more than prescribed upper bound. A sufficient condition for the exponential mean-square stability of the filtering error system is first derived and an upper bound of the state estimation error variance is then obtained. In terms of certain linear matrix inequalities (LMIs), the solvability of the addressed problem is discussed and the explicit expression of the desired filters is also parameterized. Finally, a simulation example is provided to demonstrate the effectiveness and applicability of the proposed design approach.