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Prerequisites: Basic course in Linear Systems/Control Systems/Dynamics or permission of the instructor. Objectives: To learn about concepts and advances in estimation theory and relate them to modern dynamic systems found in mechanical and aerospace disciplines. Emphasis will be on modeling of physical problems (aerospace, robotics) into mathematical terms.… (More)

In this paper a novel approach is developed for relative state estimation of spacecraft flying in formation. The approach uses information from an optical sensor to provide multiple line-of-sight vectors from one spacecraft to another. The line-of-sight measurements are coupled with gyro measurements and dynamical models in an extended Kalman filter to… (More)

The stationary Fokker-Planck Equation (FPE) is solved for nonlinear dynamic systems using a local numerical technique based on the meshless Partition of Unity Finite Element Method (PUFEM). The method is applied to the FPE for two-dimensional dynamical systems , and argued to be an excellent candidate for higher dimensional systems and the transient… (More)

In this paper an optimal solution to the problem of determining both vehicle attitude and position using line-of-sight measurements is presented. The new algorithm is derived from a generalized predictive filter for nonlinear systems. This uses a one time-step ahead approach to propagate a simple kinematics model for attitude and position determination. The… (More)

A semianalytic partition of unity finite element method (PUFEM) is presented to solve the transient Fokker-Planck equation (FPE) for high-dimensional nonlinear dynamical systems. Meshless spatial discretization of the PUFEM is employed to develop linear ordinary differential equations for the time varying coefficients of the local shape functions. A… (More)

In this paper, the stationary Fokker-Planck equation (FPE) is solved for nonlinear dynamical systems using a local numerical technique based on the meshless partition of unity finite element method (PUFEM). The method is applied to stationary FPE for two, three and four-dimensional systems and is argued to be an excellent candidate for higher dimensional… (More)

Introduction E IGENSTRUCTURE assignment algorithms are widely used to design control systems. Most of the available eigenstructure assignment algorithms assign all of the eigenvalues to the desired values. The eigenstructureassignmentalgorithmcan be divided into two groups, that is, the null space approach and Sylvester equation approach.The null space… (More)

Since its founding, NASA has been dedicated to the advancement of aeronautics and space science. The NASA Scientific and Technical Information (STI) Program Office plays a key part in helping NASA maintain this important role. The NASA STI Program Office is operated by Langley Research Center, the lead center for NASA's scientific and technical information.… (More)

- Puneet Singla, Kamesh Subbarao, John L. Junkins
- IEEE Transactions on Neural Networks
- 2007

Direction-dependent scaling, shaping, and rotation of Gaussian basis functions are introduced for maximal trend sensing with minimal parameter representations for input output approximation. It is shown that shaping and rotation of the radial basis functions helps in reducing the total number of function units required to approximate any given input-output… (More)

A new family of orientation parameters derived from the Euler parameters is presented. They are found by a general stereographic projection of the Euler parameter constraint surface, a four-dimensional unit sphere, onto a three-dimensional hyperplane. The resulting set of three stereographic parameters have a low degree polynomial non-linearity in the… (More)