A Robust H∞ Filter for Uncertain Continuous-Time Affine Nonlinear Singular Systems
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In the present paper, the problem of robust H∞ filtering for continuous-time affine nonlinear singular systems (ANSSs) with norm-bounded uncertainty is studied. Employing Luenberger-like and certainty equivalent structures, and based on the differential game theory, sufficient conditions for the existence of such filters are derived. These conditions are in the form of a generalized Hamilton–Jacobi–Isaacs (GHJI) inequality and the output injection gain of each filter is obtained as a function of the corresponding GHJI inequality solution. Numerical simulations are provided to demonstrate the applicability of the proposed approach. The results show that the adopted method not only perfectly achieves the estimation goals in the presence of model uncertainties but also outperforms some existing results for known (certain) systems.
KeywordsRobust H∞ filtering Nonlinear singular systems Game theory Hamilton–Jacobi–Isaacs (in)equality
- Lu R, Xu Y, Zhao X, Peng D, Xue A (2009) Delay-dependent H∞ filtering for nonlinear singular systems with network-induced delays. In: Proceedings of 7th Asian control conference, pp 600–604Google Scholar
- Shaked U, Theodor Y (1992) H∞-optimal estimation: a tutorial. In: Proceedings of the 31st IEEE conference on decision and control, pp 2278–2286Google Scholar
- Shojaee V, Shafiee M (2015) Singular systems: reasons and the importance of singular modeling. In: Proceedings of the 23rd Iranian conference on electrical engineering, pp 1024–1029 (In Persian) Google Scholar
- Xue A, Ge M, Wang J, Lu R (2006) Robust H∞ filtering for a class of uncertain nonlinear singular delay systems. In: Proceedings of the American control conference, pp 2221–2226Google Scholar