This paper discusses the development of a particle filter for attitude and angular rate estimation of a space object using light curve observations. The particle filter approach used is based on the generalized Rodrigues parameters (GRPs) local error representation. The global state used is the quaternion to avoid singularity in the attitude states. Uniform quaternions are generated to approxim...

Current low-cost solutions to guidance, navigation, and control (GNC) of a small unmanned vehicle (underwater, ground, marine surface, or flight) still cost several thousands of dollars, and offer relatively poor performance at that price point. Tactical grade inertial navigation solutions (INS) run in the several tens of thousands of dollars, and often come with data restrictions due to arms t...

In this paper, a finite-time control scheme is presented for stabilization of the satellite chaotic attitude around its equilibrium point when its attitude is confused by a disturbed torque. Controllers and settling time of stabilizaton are obtained, based on the Lyapunov stability theorem and finite-time control scheme. This method is satisfied for any initial condition. Numerical simulations ...

There is a substantial amount of literature within the field of spacecraft control which deals with the separate issues of position and attitude control; comparatively little work has been carried out on the joint nonlinear problem of spacecraft position and attitude control. (R.Pongvthithum etal 2005, H.Wong etal 2001, S.M.Veres etal 2002) provide control solutions for spacecraft position cont...

In this paper, Direction Cosine Matrix (DCM) method for attitude and orientation estimation is discussed. DCM method was chosen due to some advantages over the popular methods such as namely Euler Angle, Quaternion in light of reliability, accuracy and computational efforts. Proposed model for each method is developed for methodology comparison. It is shown that normal Kalman Filter in DCM meth...

Filtering algorithms are the workhorse of spacecraft attitude estimation but recent research has shown that the use of batch estimation techniques can result in higher accuracy per unit of computational cost. This paper presents an approach for singularity-free batch estimation of attitude in continuous-time using B-Spline curves on unit-length quaternions. It extends existing theory of unitlen...

The problem of estimating the state vector of a dynamical system from vector measurements when it is known that the state vector satisfies norm equality constraints is considered. The case of a linear dynamical system with linear measurements subject to a norm equality constraint is discussed with a review of existing solutions. The norm constraint introduces a nonlinearity in the system for wh...

This paper addresses kinematic control of a redundant space manipulator mounted on a freeoating spacecraft. Redundancy of the system with respect to the number of task variables for spacecraft attitude and manipulator end-e ector pose is considered. Also, the problem of both spacecraft attitude and end-e ector orientation representation is tackled. A nonminimal singularity-free representation o...

This article compares three different algorithms used to compute Euler angles from data obtained by the angular rate sensor (e.g., MEMS gyroscope)-the algorithms based on a rotational matrix, on transforming angular velocity to time derivations of the Euler angles and on unit quaternion expressing rotation. Algorithms are compared by their computational efficiency and accuracy of Euler angles e...