Australian Laureate Fellowships - Grant ID: FL110100020
Funder
Australian Research Council
Funding Amount
$3,057,554.00
Summary
Consensus, estimation and control in complex large-scale quantum systems. Australia has considerable strengths in quantum technology research and as these technologies advance, the issue of control becomes a critical one. This project will strengthen Australia's position in quantum technology by developing new methodologies for designing high performance controllers and estimators for complex quantum systems.
Construction of near optimal oscillatory regimes in singularly perturbed control systems via solutions of Hamilton-Jacobi-Bellman inequalities. Problems of optimal control of systems evolving in multiple time scales arise in a great variety of applications (from diet to environmental modelling). This project addresses the challenge of analytically and numerically constructing rapidly oscillating controls that would 'near optimally coordinate' the slow and fast dynamics.
Advanced mathematical modelling and computation of fractional sub-diffusion problems in complex domains. Over the past few decades, researchers have observed numerous biological, physical and financial systems in which some key underlying random motion fails to conform to the classical model of diffusion. The project will extend current macroscopic models describing such anomalous sub-diffusion by correctly incorporating the confounding effects of nonlinear reactions, forcing and irregular geome ....Advanced mathematical modelling and computation of fractional sub-diffusion problems in complex domains. Over the past few decades, researchers have observed numerous biological, physical and financial systems in which some key underlying random motion fails to conform to the classical model of diffusion. The project will extend current macroscopic models describing such anomalous sub-diffusion by correctly incorporating the confounding effects of nonlinear reactions, forcing and irregular geometry. A key aspect of the project is the design of new algorithms that will fundamentally improve the accuracy and efficiency of direct numerical simulations of sub-diffusion in challenging applications. Read moreRead less
Model reduction of open markov quantum systems: theory and algorithms. This project will advance international efforts in quantum technology research by developing methods and tools to find simpler lower complexity models for certain photonic (light based) devices for information processing. Such simplification methods can critically reduce the complexity of designing complex technologies based on these devices.
Stabilisation of nonlinear quantum feedback control systems. One of the most exciting technological developments of this century promises to be the development of quantum technology. Quantum feedback systems will play a key part of this technology and this project will develop the underlying fundamental theory which will be crucial to the systematic design of quantum feedback control systems.
Consensus-based theory of robust and resilient distributed estimation. The invention of cheap sensors, programmable microcontrollers and fast wireless communication protocols has created new opportunities for distributed monitoring and control of resources in many technological areas vital for Australia. The project will develop the fundamental theory which will underpin cutting edge technologies in those areas.
Coherent Feedback Synchronisation and Stabilisation of Quantum Systems. The aim of this project is to address a range of fundamental problems of stabilisation and coherent synchronisation in quantum feedback control systems, leading to new systematic methods of designing controllers for the interacting quantum systems arising in emerging areas of quantum technology. Quantum feedback control systems will be at the heart of emerging areas of quantum technology and stability is essential for their ....Coherent Feedback Synchronisation and Stabilisation of Quantum Systems. The aim of this project is to address a range of fundamental problems of stabilisation and coherent synchronisation in quantum feedback control systems, leading to new systematic methods of designing controllers for the interacting quantum systems arising in emerging areas of quantum technology. Quantum feedback control systems will be at the heart of emerging areas of quantum technology and stability is essential for their operation. Standard control system methods do not take into account the special features of quantum systems and there is a need for new control theories that deal with stabilisation and synchronisation as quantum technologies become more advanced. Read moreRead less
Uncertainty in the social cost of carbon dioxide: control theoretic methods. This project aims to redevelop the most commonly used social cost of carbon dioxide (SC-CO2) modeling framework using the best available scientific data and state-of-the-art uncertainty quantification techniques, providing government and industry decision-makers with a robust tool to tackle a carbon-constrained future. This project will deliver improved, robust estimates of the SC-CO2, a proxy for a price on carbon emis ....Uncertainty in the social cost of carbon dioxide: control theoretic methods. This project aims to redevelop the most commonly used social cost of carbon dioxide (SC-CO2) modeling framework using the best available scientific data and state-of-the-art uncertainty quantification techniques, providing government and industry decision-makers with a robust tool to tackle a carbon-constrained future. This project will deliver improved, robust estimates of the SC-CO2, a proxy for a price on carbon emissions that is used by governments, businesses, and financial bodies. This will enable Australia to play a leading and proactive role in the international pursuit of significant and sustained reductions in greenhouse gas emissions.Read moreRead less
New mathematics for multi-extremal optimization and diffusion tensor imaging. This project aims to establish numerically certifiable mathematical theory and methods for semi-algebraic optimisation problems. Numerically certifiable optimisation principles and techniques are vital for the practical use of optimisation technologies because they can be readily implemented by common computer models and algorithms. Yet no such methodologies exist for multi-extremal, semi-algebraic optimisation problem ....New mathematics for multi-extremal optimization and diffusion tensor imaging. This project aims to establish numerically certifiable mathematical theory and methods for semi-algebraic optimisation problems. Numerically certifiable optimisation principles and techniques are vital for the practical use of optimisation technologies because they can be readily implemented by common computer models and algorithms. Yet no such methodologies exist for multi-extremal, semi-algebraic optimisation problems which are common in modern science and medicine. The expected outcomes of this project include enhanced optimisation methods for diffusion tensor imaging, an emerging technology in brain sciences.Read moreRead less
Activating Lyapunov-Based Feedback - Nonsmooth Control Lyapunov Functions. This project aims to provide a novel high-performance feedback control design methodology, applicable in a wide range of areas from power to aerospace to biological systems. A general approach of feedback design based on so-called Lyapunov methods has been available for many years. However, this approach has suffered from several drawbacks including the inability to account for constrained system actions (eg where certain ....Activating Lyapunov-Based Feedback - Nonsmooth Control Lyapunov Functions. This project aims to provide a novel high-performance feedback control design methodology, applicable in a wide range of areas from power to aerospace to biological systems. A general approach of feedback design based on so-called Lyapunov methods has been available for many years. However, this approach has suffered from several drawbacks including the inability to account for constrained system actions (eg where certain system variables must remain within certain constraints) and the inability to specify desired system performance. This project intends to leverage recent developments in Lyapunov methods, including novel numerical techniques, to develop a high-performance feedback control methodology for nonlinear dynamical systems competitive with the best currently available techniques.Read moreRead less