Optimal Control, Guidance and Estimation

Overview

Introduction and Review of Basic Concepts : Introduction, Motivation and Overview - Overview of SS Approach and Matrix Theory - Review of Numerical Methods - Static Optimization : An Overview of Static Optimization - Optimal Control through Calculus of Variation :Review of Calculus of Variations - Optimal Control Formulation Using Calculus of Variations - Classical Numerical Methods to Solve Optimal Control Problems - Linear Quadratic Regulator (LQR) Theory - Discrete-time Optimal Control - Overview of Flight Dynamics - Optimal Missile Guidance : Linear Optimal Missile Guidance using LQR - State Dependent Riccati Equation and D Designs - Dynamic Programming and Adaptive Critic Design : Dynamic Programming - Approximate Dynamic Programming (ADP), Adaptive Critic (AC) and Single - Network Adaptive Critic (SNAC) Design

Advanced Numerical Techniques for Optimal Control : Transcription Method to Solve Optimal Control Problems - Model Predictive Static Programming (MPSP) and Optimal Guidance of Aerospace Vehicles - MPSP for Optimal Missile Guidance - Model Predictive Spread Control (MPSC) and Generalized MPSP (G-MPSP) Designs - LQ Observer and Kalman Filter Design : Linear Quadratic Observer & An Overview of State Estimation - Review of Probability Theory and Random Variables - Kalman Filter Design - Integrated Estimation, Guidance and Control - Linear Quadratic Guassian Design : LQG Design; Neighboring Optimal Control& Sufficiency Condition - Constrained Optimal Control - Optimal Control of Distributed Parameter System - Review and Summary : Take Home Material: Summary