Performance Analysis and Coherent Guaranteed Cost Control for Uncertain Quantum Systems

TL;DR

This paper analyzes the performance of uncertain linear quantum systems with perturbations and designs coherent guaranteed cost controllers to enhance control performance, demonstrated through an example.

Contribution

It introduces a method for performance analysis and controller design for uncertain quantum systems with perturbations, incorporating a coherent control approach.

Findings

Performance analysis framework for uncertain quantum systems

Design of coherent guaranteed cost controllers

Improved control performance demonstrated by example

Abstract

This paper presents several results on performance analysis for a class of uncertain linear quantum systems subject to either quadratic or non-quadratic perturbations in the system Hamiltonian. Also, coherent guaranteed cost controllers are designed for the uncertain quantum systems to achieve improved control performance. The coherent controller is realized by adding a control Hamiltonian to the quantum system and its performance is demonstrated by an example.