An Explicit Reentry Guidance Law Using Bezier Curves

A Three Stage Terminal Fuzzy Guidance Law for Reentry Vehicles

An advanced guidance law is developed for reentry phase of a reentry vehicle. It can achieve small miss distance and desired impact attitude angle, simultanceously. To meet this requirment a guidance law based on the fuzzy logic approach is developed. It is partitioned into three stages. This guidance law does not require linearization of missile engagement model. Line-of-sight and flight path ...

Midcourse Trajectory Shaping for Air and Ballistic Defence Guidance Using Bezier Curves

A near-optimal midcourse trajectory shaping guidance algorithm is proposed for both air and ballistic target engagement mission attributes for generic long range interceptor missile. This guidance methodology is based on the maximum final velocity as the objective function and maximum permissible flight altitude as the in-flight state constraint as well as the head-on orientation as the termina...

Bezier curves

i=0 aix , ai ∈ R. We will denote by πn the linear (vector) space of all such polynomials. The actual degree of p is the largest i for which ai is non-zero. The functions 1, x, . . . , x form a basis for πn, known as the monomial basis, and the dimension of the space πn is therefore n + 1. Bernstein polynomials are an alternative basis for πn, and are used to construct Bezier curves. The i-th Be...

5 Rational Bezier Curves Andrelief

Fitting of Bezier Curves Using the Fireworks Algorithm

A swarm intelligence based method is presented in this paper to solve the problem of parameterization of given set of planar and spatial data points, which may be uniformly or non-uniformly spaced, for least squares fitting with Bezier curves. The basic framework of the proposed method relies on fireworks algorithm. Performance of the proposed method is tested through several example curves of ...