A Study on the Flight Path Generation Using Polynomials and Tracking Control

Development of Real-Time Maneuver Library Generation Technique for Implementing Tactical Maneuvers of Fixed-Wing Aircraft

“…This research tries to generate maneuver libraries by using the 7 th -order polynomials. The reason why a polynomial is employed is that a polynomial can overcome the two disadvantages of NOA [15]. The disadvantages of NOA are already described in Section 1.…”

“…Also, if Δt 1 is decreased, _ ω max is increased. So, _ ω max should be numerically calculated to satisfy the boundary conditions when Δt 1 has been determined [16]. _ ω max 0 is the initial value for calculating maximum acceleration, which can be defined by Equation 1.…”

“…_ ω max 0 is the initial value for calculating maximum acceleration, which can be defined by Equation 1. Then, _ ω max will be calculated by the Newton-Raphson numerical method to satisfy the boundary conditions [16]:…”

“…The boundary conditions and the procedure of defining the polynomials are the same with the maximum acceleration phase. ð15Þ Also, the coefficients f , g, and h can be easily computed by Equation (16), and θðtÞ, ωðtÞ, and _ ωðtÞ for the exit phase can be defined by Equation (7).…”

“…van der Plas and Visser [13] optimized the flight path after dividing the flight path into several segments. Thomson and Bradley [14] researched the flight path generation method using polynomials, and Lee et al [15,16] studied the flight path generation using a polynomial and tracking control technique. The existing studies indicate that (1) the aggressive maneuvers have to be divided into several segments.…”