Interacting multiple model unscented filter for tracking a ballistic missile during its boost phase

Switching Multiple Model Filter for Boost-Phase Missile Tracking

“…The algorithm presented in this paper improves this former concept (See Section III). In numerical simulations, the IMMUF of this work outperforms the MIMMUF of [22] and a standard timeinvariant IMMUF (see Section IV).…”

“…The trajectory of a medium range missile during its boost phase is composed of a number of arcs which differ by the direction and magnitude of thrust. Generally speaking, three arcs can always be identified, namely the vertical arc, the pitch maneuver and the gravity turn trajectory [22], [23]. The order of these three phases cannot mutate.…”

“…The measurements are shown in Fig. 1: they consist of rangeρ, azimuth angle ψ and elevation angle θ from the radar to the target [22]. Range-rate measurements were not considered in this case.…”

“…At the end of (t 1 , t 2 ), the probability of the vertical arc is 0 and that of the pitch maneuver is 1. The new filter for estimating the TBM trajectory during its boost phase -called Switching Modified Interacting Multiple Model Unscented Filter (SMIMMUF) -is based on i) the switching rationale explained in the beginning of Section III, ii) AdUKFs [27], and iii) the MIMMUF structure described in [22]. Define k 1 := quo(t 1 , ∆t),…”

“…This modification relaxes hypothesis ii) (see Section III). A Modified IMMUF (MIMMUF) with time-varying transition matrix has been recently presented by the authors of this paper in [22]. The algorithm presented in this paper improves this former concept (See Section III).…”