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

Multi-vehicle Path Following using Modified Trajectory Shaping Guidance

In this paper, we formulate a virtual target-based path following guidance law aimed towards multi-vehicle path following problem. The guidance law is well suited to precisely follow circular paths while minting desired distance between two adjacent vehicles where path information is only available to the lead vehicle. We analytically show lateral and longitudnal stability and convergence on th...

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...

Cooperative Allocation and Guidance for Air Defence Application

This project proposes a centralized algorithm to design cooperative allocation strategies and guidance laws for air defense applications. Scenarios in naval and ground context have been defined for performance analysis by comparison to a benchmark target allocation policy. The cooperative target allocation algorithm is based on the following features: No Escape Zones (differential game NEZ) com...

Midcourse guidance law with neural networks

A dual neural network ‘adaptive critic approach’ is used in this study to generate midcourse guidance commands for a missile to reach a predicted impact point while maximizing its final velocity. The adaptive critic approach is based on approximate dynamic programming. The first network, called a ‘critic’, network, outputs the Lagrangian multipliers arising in an optimal control formulation whi...

5 Rational Bezier Curves Andrelief

Detection and Recognition of Facial Emotion using Bezier Curves

Extracting and understanding of emotion is of high importance for the interaction among human and machine communication systems. The most expressive way to display the human’s emotion is through facial expression analysis. This paper presents and implements an automatic extraction and recognition method of facial expression and emotion from still image. There are two steps to recognize the faci...