In this chapter, the authors develop the theory of robust finite impulse response (FIR) state estimation for uncertain systems operating under disturbances with initial and measurement errors. Various types of a posteriori H 2 FIR filters (optimal, optimal unbiased, ML, and suboptimal) can be obtained for uncertain systems represented by the BE‐based model. When an uncertain system operates under disturbances, initial errors, and measurement errors, then state feedback control can be organized using a H 2 ‐OFIR predictor, which gives robust estimates if the error matrices are properly maximized. Design of hybrid state estimators with improved robustness requires suboptimal H 2 FIR algorithms using LMI. Since hybrid FIR structures are typically designed based on different types of H ∞ estimators, the H 2 algorithm should have a similar structure using LMI. To obtain various robust H ∞ FIR state estimators for uncertain systems, the authors start with the estimation errors of the FIR filter and the FIR predictor.
Robust FIR State Estimation for Uncertain Systems
Optimal and Robust State Estimation ; 321-358
2022-08-09
38 pages
Article/Chapter (Book)
Electronic Resource
English
Robust stabilization of nonlinear uncertain systems
British Library Online Contents | 1996
|