Title :
Scaled Minimum Unscented Multiple Hypotheses Mixing Filter
Author :
Menegaz, Henrique M. ; Santana, Pedro Henrique R. Q. A. ; Ishihara, J.Y. ; Borges, G.A.
Author_Institution :
Dept. of Electr. Eng., Univ. of Brasilia, Brasilia, Brazil
Abstract :
This work brings two new contributions. First, it introduces the Scaled Minimum Unscented Multiple Hypotheses Mixing Filter, a novel filter for hybrid dynamical systems that 1) uses a new minimum set of sigma points along with the scaled unscented transform in a hybrid framework; 2) can estimate the Markovian Transition Probability Matrix in real-time; 3) features a pruning step that reduces the filter´s computational effort and prevents its estimates from being degraded by very unlikely hypotheses; and 4) has a mixing step with merging depth greater than one. Second, we present a result revealing the conservativeness of one of the scaled unscented transform forms.
Keywords :
Markov processes; filtering theory; matrix algebra; real-time systems; transforms; Markovian transition probability matrix; filter computational effort; hybrid dynamical systems; scaled minimum unscented multiple hypotheses mixing filter; scaled unscented transform; sigma points; Covariance matrices; Kalman filters; Merging; State estimation; Transforms; Uncertainty; Vectors;
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
Print_ISBN :
978-1-4799-0177-7
DOI :
10.1109/ACC.2013.6580203