1 Introduction 2 Deterministic Dynamic Programming and Viscosity Solutions 3 Stochastic Control 3.1 Some Probability Theory 3.2 Controlled State Space Models 3.3 Filtering 3.4 Dynamic Programming - Case I : Complete State Information 3.5 Dynamic Programming - Case II : Partial State Information 3.6 Two Continuous Time Problems 4 Robust Control 4.1 Introduction and Background 4.2 The Standard Problem of H∞ Control 4.3 The Solution for Linear Systems 4.4 Risk-Sensitive Stochastic Control and Robustness 5 Optimal Feedback Control of Quantum Systems 5.1 Preliminaries 5.2 The Feedback Control Problem 5.3 Conditional Dynamics 5.4 Optimal Control 5.5 Appendix: Formulas for the Two-State System with Feedback Example 6 Optimal Risk-Sensitive Feedback Control of Quantum Systems 6.1 System Model 6.2 Risk-Neutral Optimal Control 6.3 Risk-Sensitive Optimal Control 6.4 Control of a Two Level Atom 6.5 Control of a Trapped Atom
1. Automatic Control System 1.1 Introduction 1.2 An example 1.3 Types of control system 2. Mathematical Foundation 2.1 The transfer function concept 2.2 The block diagram. 2.3 Signal flow graphs 2.4 Construction of signal flow graphs 2.5 General input-output gain transfer 3. Time-Domain Analysis Of Control System 3.1 Introduction 3.2 Typical test signals for time response of control systems 3.3 First –Order Systems 3.4 Performance of a Second-Order System 3.5 Concept of Stability 4. The Root Locus Techniques 4.1 Introduction 4.2 Root Locus Concept 4.3 The Root Locus Construction Procedure for General System 4.4 The zero-angle (negative) root locus 5. Frequency-Domain Analysis of Control System 5.1 Frequency Response 5.2 Bode Diagrams 5.3 Bode Stability Criteria 5.4 The Nyquist Stability Criterion 6. Control system design 6.1 Introduction 6.2 Cascade Lead Compensation 6.3 Properties of the Cascade Lead Compensator 6.4 Parameter Design by the Root Locus Method
Day 1 Handouts: 1) Bloom’s taxonomy 2) Learning goal checklist 3) Course-scale goal slide 4) Tactics 5) Question Goals Day 2 HANDOUTS • Exercise sheet with course/class activities and with example on the back • FCI content survey • CLASS survey • Examples from Chemistry & Biology