4 papers
Recursive Least Squares with Variable-Direction Forgetting -- Compensating for the loss of persistency
Ankit Goel, Adam L. Bruce, Dennis S. Bernstein
Learning depends on the ability to acquire and assimilate new information. This ability depends---somewhat counterintuitively---on the ability to forget. In particular, effective f…
Convergence and Consistency of Recursive Least Squares with Variable-Rate Forgetting
Adam L. Bruce, Ankit Goel, Dennis S. Bernstein
A recursive least squares algorithm with variable rate forgetting (VRF) is derived by minimizing a quadratic cost function.Under persistent excitation and boundedness of the forget…
Attitude Quaternion Estimation Using a Spectral Perturbation Approach
Adam L. Bruce
All quaternion methods for static attitude determination currently rely on either the spectral decomposition of a 4 x 4 matrix (q-Method) or finding the maximum eigenvalue of a 4th…
A General Quadrature Solution for Relativistic, Non-relativistic, and Weakly-Relativistic Rocket Equations
Adam L. Bruce
We show the traditional rocket problem, where the ejecta velocity is assumed constant, can be reduced to an integral quadrature of which the completely non-relativistic equation of…