Nonlinear Filtering

Jitendra R. Raol, Ph.D., is an Emeritus Professor at the Ramaiah Institute of Technology in Bangalore, India. He previously served at the National Aerospace Laboratories (NAL), as Scientist-G and head of the Flight Mechanics and Control Division (FMCD). He was elected a fellow of the IEE (UK), was a senior member of the IEEE (US), is a life-fellow of the Aeronautical Society of India, and a life member of the System Society of India. Mrs. Dr. Girija, G. is a former senior scientist from CSIR-NAL, Bangalore. She was selected to participate in the Science Technology & Innovation Policy (STIP) Executive Education Program at the John F. Kennedy School of Government, Harvard University, USA sponsored by the Indo-US Science & Technology Forum (IUSSTF), April 8-23, 2008. Professor Bhekisipho Twala is a professor of artificial intelligence and statistical sciences, and head of the Department of Electrical and Electronic Engineering Science at the Johannesburg University, South Africa.

• PrefaceAcknowledgementsAuthorsIntroductionSection I Mathematical Models, Kalman Filtering and H-Infinity Filters1. Dynamic System Models and Basic Concepts2. Filtering and Smoothing3. H∞ Filtering4. Adaptive FilteringSection II Factorization and Approximation Filters5. Factorization Filtering6. Approximation Filters for Nonlinear Systems7. Generalized Model Error Estimators for Nonlinear SystemsSection III Nonlinear Filtering, Estimation and Implementation Approaches8. Nonlinear Estimation and Filtering9. Nonlinear Filtering Based on Characteristic Functions10. Implementation Aspects of Nonlinear Filters11. Nonlinear Parameter Estimation12. Nonlinear ObserversSection IV Appendixes – Basic Concepts and Supporting MaterialAppendix A: System Theoretic Concepts – Controllability, Observability, Identifiability and EstimabilityAppendix B: Probability, Stochastic Processes and Stochastic CalculusAppendix C: Bayesian FilteringAppendix D: Girsanov TheoremAppendix E: Concepts from Signal and Stochastic AnalysesAppendix F: Notes on Simulation and Some AlgorithmsAppendix G: Additional ExamplesIndex