Download or read book A Technique for the Optimal Estimation of the State of a Nonlinear System Exemplified by an Orbit Determination Problem written by Richard Frank Ohap and published by . This book was released on 1964 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Control and Dynamic Systems written by C. T. Leondes and published by Elsevier. This book was released on 2014-11-30 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems: Advances in Theory and Applications reviews progress in the field of control and dynamic systems theory and applications. Topics include multistage models and fitting them to input/output data; computer-aided control systems design techniques; multilevel optimization of multiple arc trajectories; and nonlinear smoothing techniques. Solutions of dynamic games are also considered, and a survey of Soviet contributions to control theory is presented. Comprised of six chapters, this volume begins with a discussion on a number of important issues with respect to the modeling of a dynamic system, the beginning point for the resolution of the system synthesis problem. Issues with respect to the utilization of the Kalman filter as a concise model for the identification of a large class of dynamic systems are explored, along with computational and convergence issues. The application of computer-aided design techniques to control engineering problems is the subject of the next chapter. The book also evaluates multilevel systems optimization techniques and their application to a rather complex systems problem before concluding with an overview of the evolutionary growth of Soviet contributions to control theory. This monograph will be useful to mathematicians and engineers.
Download or read book Advances in Control Systems written by C. T. Leondes and published by Elsevier. This book was released on 2014-12-01 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Control Systems: Theory and Applications, Volume 5 provides information pertinent to the significant progress in the field of control and systems theory and applications. This book presents the problem of the optimal control of a system. Organized into six chapters, this volume begins with an overview of the fundamental conditions in the calculus of variations that are basic to the optimal control problem. This text then examines one of the basic problems in control and systems theory in general. Other chapters consider a number of rather basic results in optimal nonlinear filtering and describe the characteristic function of the state of vector of a nonlinear system. This book discusses as well a significant application area of control and systems theory, which is the optimal control of nuclear reactors. The final chapter deals with optimal control with bounds on the state variables. This book is a valuable resource for practicing engineers.
Download or read book University of California Union Catalog of Monographs Cataloged by the Nine Campuses from 1963 Through 1967 Authors titles written by University of California (System). Institute of Library Research and published by . This book was released on 1972 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Short Course in State Estimation and Kalman Filtering written by David Cicci and published by . This book was released on 2021-06-24 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a short course covering advanced topics in state estimation and Kalman filtering. It focuses on the Orbit Determination problem. This course is structured to present the basic concepts without the in-depth theoretical background and mathematical derivations that commonly accompany an academic presentation of the subject. My intention is to introduce state estimation in a simplified manner to those with no previous background in the field, or to provide a review to those who have studied the subject previously. Readers should have a familiarity with differential and integral calculus and differential equations to help understand some equations presented. The form of this short course is like the many short courses I've taught at government agencies and private corporations during my thirty-five-year career as an aerospace engineering professor at Auburn University. It presents the material in a simplified outline / bullet format using many understandable figures, rather than using lengthy, detailed explanations with complex mathematical derivations and proofs. It provides the practical equations that are useful to the practicing engineer. The objectives of this short course are to: - Introduce the concepts and fundamentals of state estimation, with applications to the orbit determination problem. - Present the concepts of batch estimation using least squares, weighted least squares, minimum variance, and ridge-type estimation methods. - Introduce the fundamentals of sequential estimation using the Kalman filter, the Extended Kalman filter, and the Unscented Kalman filter. - Discuss the sources of error in orbit determination and present methods of improving accuracy in the solution process- - Present practical considerations of orbit determination involving observational data, update intervals and fit spans, the results of differential correction, and the use of smoothers and GPS. The material presented is usually covered in graduate level course in estimation theory except that there's no required homework, quizzes, projects, computer programs to write, or examinations. I believe that even a novice reading through this material will gain an in-depth understanding of state estimation. My former students should recognize everything in this presentation, and if they didn't learn it the first time, they can learn it now through this simplified short course with much less work. State estimation and Kalman filtering is not easy, but it's my goal to make it enjoyably simple once the fundamentals are understood. To do so, I've attempted to present the difficult concepts as clearly as possible to facilitate that understanding. Completion of this short course should enhance the knowledge base of all those who read through its content. This short course is part of a series I've developed as a Professor at Auburn University. Others in this series include: Orbital Mechanics, Part I: The Two-Body Problem Orbital Mechanics, Part II: Satellite Perturbations Fundamentals of Inertial Navigation and Missile Guidance David A. Cicci, Auburn, Alabama, [email protected]
Download or read book Non linear Orbit Determination Methods written by Ali Hasan Nayfeh and published by . This book was released on 1968 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Closed form Algorithm for Covariance constrained Optimal Estimation written by and published by . This book was released on 2005 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation describes a new method which results in a closed-form solution for constrained optimal state estimation and system identification of discretely measured dynamic systems, and illustrates the method for simple examples. This post-experiment optimal state estimation method is especially appropriate in the presence of significant model error and/or significant measurement error. The new approach is robust in the presence of significant measurement noise and capable of estimating accurate states, by incorporating the known statistical characteristics of the noisy measurements as constraints. The determination of the optimal state estimates is derived from a minimization of a cost functional subject to differential equation constraints and statistical constraints of the noisy measurements. Estimation of the state and the dynamic model error are obtained as part of the solution of a jump discontinuous two-point boundary value problem associated with the algorithm. The resulting state estimates are continuous and optimal in a global sense. The dynamic model error terms to be identified are assumed unknown and may take any form (including nonlinear). The new method presented in this dissertation provides a way of obtaining a closed-form solution for determining optimal state estimation with incorporation of the average variance of the discrete state measurement as a constraint in the presence of significant error in the assumed (nominal) model. The weight matrix in the Minimum Model Error algorithm is eliminated since the constraints are incorporated in the problem and satisfied as part of the solution. This new constrained approach greatly improves computational speed and results in an exact analytical enforcement of the covariance constraint.
Download or read book Methods of Orbit Determination written by Pedro Ramon Escobal and published by . This book was released on 1976 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal Estimation for Nonlinear Systems written by Calvin O. Culver and published by . This book was released on 1969 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear estimation theory applied to orbit determination written by Chul Young Choe and published by . This book was released on 1972 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Uncertainty Quantification and State Estimation for Complex Nonlinear Problems in Space Flight Mechanics written by Massimo Vetrisano and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A first set of results focuses on the prediction of the trajectory evolution under initial condition uncertainties. The accuracy of the propagation of uncertainties is intimately related to the process of trajectory estimation, which relies on the use of the covariance matrix. The covariance matrix gives an idea of the dispersion of the spacecraft in terms of position and velocity. Different techniques to propagate the covariance matrix are used to predict the evolution of the trajectory when the initial conditions are known only to a certain degree of accuracy. They are compared under a highly nonlinear scenario where a spacecraft is injected into a disposal orbit towards an impacting trajectory with the Moon from a Lagrangian Point Orbit. A second set of results focuses on the identification of the estimation techniques applied to a single spacecraft. The estimation process performs well depending on the capability to propagate the covariance matrix and to incorporate the new information. A number of filtering techniques based on the Kalman and H∞ filters, employing different methods to handle the propagation of the covariance matrix, are presented and tested in typical nonlinear environments, i.e. a WSB transferan asteroid proximity, to draw precious information on their performance. The analyses demonstrate that only a hybrid Kalman- H∞ filter can enable the spacecraft to estimate its trajectory with a good balance between accuracy and computational costs. Then this method is applied to the navigation of spacecraft formation about a NEO showing that the navigation performance is significantly improved by sharing relative information among the spacecraft and the overall system is shown to be fault-tolerant.Finally the orbit's and attitude manipulation of a small asteroid using a laser ablation system is analysed. An on-board state estimation and control algorithm is presented that simultaneously provides an optimal proximity control and control of the rotational motion of the asteroid. During the deflection, the proximity motion of the spacecraft is coupled with the orbital and rotational motion of the asteroid. The combination of the deflection acceleration, solar radiation pressure, and gravity field and plume impingement will force the spacecraft to drift away from the asteroid. In turn, a variation of the motion of the spacecraft produces a change in the modulus and direction of the deflection action which modifies the rotational and orbital motion of the asteroid.
Download or read book Least Squares Solutions in Statistical Orbit Determination Using Singular Value Decomposition written by Patrick M. Marshall and published by . This book was released on 1999-06-01 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is a partial analysis of the Naval Space Command statistical orbit determination algorithms. Through a process called Differential Correction, data from space surveillance radar observation stations is synthesized with previously accumulated element sets to maintain accurate orbital object position information. Differential Correction is a nonlinear least squares process employing statistical techniques to minimize the residual measurement error thereby increasing relative position information accuracy. This study focuses specifically on the algorithmic methods of solution to the systems of normal equations generated by the Differential Correction process. A comparison and analysis of the present Naval Space Command method and the singular value decomposition method is presented. Algorithmic constructions are presented for both methods and problematic areas are highlighted. The principal focus herein is to demonstrate the benefit of singular value decomposition when attempting to solve systems of equations whose coefficient matrices are dense and nearly singular. These results generalize to commonly employed normal equation solution algorithms and are intended for further study and possible incorporation by Naval Space Command as part of future modernization plans.
Download or read book Methods of orbit determination written by Pedro R. Escobal and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Study of a Homotopy Continuation Method for Early Orbit Determination with the Tracking and Data Relay Satellite System TDRSS written by R. L. Smith and published by . This book was released on 1986 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Estimation Theory Applied to Orbit Determination written by Chul Young Choe and published by . This book was released on 1972 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal State Estimation written by Dan Simon and published by John Wiley & Sons. This book was released on 2006-06-19 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bottom-up approach that enables readers to master and apply the latest techniques in state estimation This book offers the best mathematical approaches to estimating the state of a general system. The author presents state estimation theory clearly and rigorously, providing the right amount of advanced material, recent research results, and references to enable the reader to apply state estimation techniques confidently across a variety of fields in science and engineering. While there are other textbooks that treat state estimation, this one offers special features and a unique perspective and pedagogical approach that speed learning: * Straightforward, bottom-up approach begins with basic concepts and then builds step by step to more advanced topics for a clear understanding of state estimation * Simple examples and problems that require only paper and pen to solve lead to an intuitive understanding of how theory works in practice * MATLAB(r)-based source code that corresponds to examples in the book, available on the author's Web site, enables readers to recreate results and experiment with other simulation setups and parameters Armed with a solid foundation in the basics, readers are presented with a careful treatment of advanced topics, including unscented filtering, high order nonlinear filtering, particle filtering, constrained state estimation, reduced order filtering, robust Kalman filtering, and mixed Kalman/H? filtering. Problems at the end of each chapter include both written exercises and computer exercises. Written exercises focus on improving the reader's understanding of theory and key concepts, whereas computer exercises help readers apply theory to problems similar to ones they are likely to encounter in industry. With its expert blend of theory and practice, coupled with its presentation of recent research results, Optimal State Estimation is strongly recommended for undergraduate and graduate-level courses in optimal control and state estimation theory. It also serves as a reference for engineers and science professionals across a wide array of industries.
Download or read book Optimal Nonlinear Adaptive Observers for State Parameter and Fault Estimation written by Amir Valibeygi and published by . This book was released on 2015 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: The demand for reliable, fast and robust techniques for detection and estimation of faults in real-world systems is constantly increasing. A nonlinear adaptive observer for state, parameter and fault estimation is developed in this work using an optimal approach. This observer is capable of estimating unknown parameters as well as sensor faults in the system. The proposed observer also accounts for existing noise and disturbance in the system. By defining appropriate cost functions for each problem, the observer is made to satisfy a performance bound. A systematic method of checking existence conditions and calculating observer gains in terms of Linear Matrix Inequalities (LMIs) is presented. Types of nonlinearities considered are fairly general and encompass sector bounded, Lipschitz and dissipative nonlinearities. The observer can identify time-varying unknown parameters, bias and gain sensor faults. Compared with the method of extended Kalman filter, the proposed observer is not computationally intensive and in its relaxed form, does not require online solution to the Ricatti equation. The observer is applied to representative state space models including a wind turbine mechanical power transmission mechanism. The considered system model is highly nonlinear and contains input disturbances as well. The results are compared with the results obtained from extended Kalman filtering and show satisfactory performance in the presence of noise and disturbances.
