Download Control Theory: From Classical to QuantumOptimal, Stochastic, and Robust Control by M.R. James, The purpose of these notes is to provide an overview of some aspects of optimal and robust control theory considered relevant to quantum control. The notes begin with classical deterministic optimal control, move through classical stochastic and robust control, and conclude with quantum feedback control. Optimal control theory is a systematic approach to controller design whereby the desired performance objectives are encoded in a cost function, which is subsequently optimized to determine the desired controller. Robustcontrol theory aims to enhance the robustness (ability to withstand, to some extent, uncertainty, errors, etc) of controller designs by explicitly including uncertainty models in the design process. Some of the material is in continuous time, while other material is written in discrete time. There are two underlying and universal themes in the notes: dynamic programming and filtering.


1 Introduction

2 Deterministic Dynamic Programming and Viscosity Solutions

3 Stochastic Control

4 Robust Control

5 Optimal Feedback Control of Quantum Systems

6 Optimal Risk-Sensitive Feedback Control of Quantum Systems