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Nonlinear state estimation for uncertain systems with an integral constraint

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2 Author(s)
James, M.R. ; Dept. of Eng., Australian Nat. Univ., Canberra, ACT, Australia ; Petersen, I.R.

This paper considers a problem of robust filtering for a class of uncertain nonlinear systems. The solution involves a set-valued state estimate that is obtained by solving a Hamilton-Jacobi-Bellman equation. In addition, a less computationally intensive approximate solution to the problem is obtained for filtering problems defined over a large time interval. The paper also presents an approximate solution to the robust filtering problem, which leads to a robust version of the extended Kalman filter

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Signal Processing, IEEE Transactions on  (Volume:46 ,  Issue: 11 )