An introduction to optimal estimation of dynamical systems - J.L. Junkins

An introduction to optimal estimation of dynamical systems

(Autor)

Buch | Softcover
354 Seiten
2012 | Softcover reprint of the original 1st ed. 1978
Springer (Verlag)
978-94-009-9922-0 (ISBN)
53,49 inkl. MwSt
This text 1s designed to introduce the fundamentals of esti­ mation to engineers, scientists, and applied mathematicians. The level of the presentation should be accessible to senior under­ graduates and should prove especially well-suited as a self study guide for practicing professionals. My primary motivation for writing this book 1s to make a significant contribution toward minimizing the painful process most newcomers must go through in digesting and applying the theory. Thus the treatment 1s intro­ ductory and essence-oriented rather than comprehensive. While some original material 1s included, the justification for this text lies not in the contribution of dramatic new theoretical re­ sults, but rather in the degree of success I believe that I have achieved in providing a source from which this material may be learned more efficiently than through study of an existing text or the rather diffuse literature. This work is the outgrowth of the author's mid-1960's en­ counter with the subject while motivated by practical problems aSSociated with space vehicle orbit determination and estimation of powered rocket trajectories. The text has evolved as lecture notes for short courses and seminars given to professionals at Pr>efaae various private laboratories and government agencies, and during the past six years, in conjunction with engineering courses taught at the University of Virginia. To motivate the reader's thinking, the structure of a typical estimation problem often assumes the following form: • Given a dynamical system, a mathematical model is hypothesized based upon the experience of the investigator.

1. Least Square Approximation.- 1.1 A Curve Fitting Example.- 1.2 Linear Batch Estimation.- 1.3 Constrained Least Square Estimation.- 1.4 Linear Sequential Estimation.- 1.5 Nonlinear Estimation: Least Square Differential Correction.- 1.6 Remarks.- 1.7 Exercises.- 1.8 References.- 2. Minimal Variance Estimation.- 2.1 Preliminary Remarks.- 2.2 Minimal Variance Estimation (without apriori State Estimates).- 2.3 Minimal Variance Estimation (with apriori State information).- 2.4 Covariance Propagation in Linear Estimation Algorithms.- 2.5 Nonuniqueness of the Weight Matrix.- 2.6 Remarks.- 2.7 Exercises.- 2.8 References.- 3. Parameter Estimation: Applications.- 3.1 Preliminary Comments.- 3.2 Planar Triangulation.- 3.3 Stellar Resection Photogrammetry/Spacecraft Orientation Estimation.- 3.4 Triangulation of Orbital Photography.- 3.5 Mathematical Modeling of the Earth’s Topography.- 3.6 Mathematical Models of the Gravitational Potential.- 3.7 Remarks.- 3.8 References.- 4. Survey of Ordinary Differential Equations.- 4.1 Preliminary Remarks.- 4.2 The State Space Approach.- 4.3 Linear Dynamical Systems.- 4.4 Nonlinear Dynamical Systems.- 4.5 Parametric Differentiation.- 4.6 Remarks.- 4.7 Exercises.- 4.8 References.- 5. Estimation of Dynamical Systems.- 5.1 Preliminary Remarks.- 5.2 Initial State Estimation.- 5.3 Initial State and Model Parameter Estimation.- 5.4 Sequential State Estimation for Linear Dynamic Systems.- 5.5 Optimal Continuous State Estimation.- 5.6 Sequential Estimation of Nonlinear Dynamical Systems.- 5.7 Remarks.- 5.8 Exercises.- 5.9 References.- 6. Estimation of Dynamical Systems: Applications.- 6.1 Projectile Trajectory Estimation.- 6.2 Loss of Precision in Covariance Propagation Algorithms.- 6.3 Dynamically Constrained Satellite Photogrammetry.- 6.4 Remarks.-6.5 References.- Appendix A Minimization of Functions of n-Vaviahles.- Appendix B Basic Probability Concepts.- Appendix C Linear Algebraic Equations.

Reihe/Serie Mechanics: Dynamical Systems ; 3
Zusatzinfo 354 p.
Verlagsort Dordrecht
Sprache englisch
Maße 152 x 229 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Naturwissenschaften Physik / Astronomie Mechanik
Technik Maschinenbau
ISBN-10 94-009-9922-4 / 9400999224
ISBN-13 978-94-009-9922-0 / 9789400999220
Zustand Neuware
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