Variational methods in partial differential equations. Research in partial differential equations is a very active area of modern mathematics linking nonlinear functional analysis, calculus of variations and differential geometry to applied sciences. This project will enable Australia-based researchers to participate in the forefront of mathematical research with leading international mathematicians by establishing new collaborations, strengthening on-going collaborations and providing internat ....Variational methods in partial differential equations. Research in partial differential equations is a very active area of modern mathematics linking nonlinear functional analysis, calculus of variations and differential geometry to applied sciences. This project will enable Australia-based researchers to participate in the forefront of mathematical research with leading international mathematicians by establishing new collaborations, strengthening on-going collaborations and providing international research experience for early career researchers. As a result, this proposal will enhance Australia's distinguished reputation in analysis and further link the UQ group with a number of mathematical institutes in USA and China.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
A New Approach to Sampled-Data Control Design for Nonlinear Systems. This project aims to exploit new sampling and sampled-data modelling insights to bridge the continuous/sampled-data gap in the control of nonlinear systems. The goal is to investigate the impact of these insights on the control design problem and provide a new class of digital control laws for continuous time non-linear systems.
Robust control of power electronics and drives: a synthesis of traditional and model predictive control approaches. This project aims to generate high-performance strategies for the control of power converters. Through the combination of traditional and modern approaches, the project will develop methods which are more reliable and give better energy efficiency than current state of the art techniques.
Robust control of mobile networked systems. The conceptual advances with new design rules are to be developed in the area of robust control of mobile networked systems. A major benefit of the research to be carried out in this project will be its direct application to industrial control problems in the defence, communications and robotics industries and to the management of the environment.
Efficient and high-precision system identification in quantum cybernetics. This project aims to develop new theories and algorithms to enhance system identification capabilities in quantum cybernetics from the perspective of systems and control. The project is anticipated to advance key knowledge and provide effective methods to enable identification of microsystems for wide applications arising in this emerging technology revolution. The intended outcomes are fundamental theories, and efficient ....Efficient and high-precision system identification in quantum cybernetics. This project aims to develop new theories and algorithms to enhance system identification capabilities in quantum cybernetics from the perspective of systems and control. The project is anticipated to advance key knowledge and provide effective methods to enable identification of microsystems for wide applications arising in this emerging technology revolution. The intended outcomes are fundamental theories, and efficient estimation methods for identifying these systems. This project will make important contributions to accelerating practical applications of new technology, and deliver new knowledge and skills for Australia's future industries, which will benefit Australia's economic growth.Read moreRead less
Optimal Control of Stochastic Partial Differential Equations. The problem to control a stochastic process so as to minimize a certain cost functional arises in many areas of Applied Sciences, Engineering and Mathematical Finance. An important practical question is to find, for a given cost functional, the optimizing control in a feedback form. We propose new tools to construct such optimal controls for a class of stochastic processes which are solutions to stochastic partial differential equati ....Optimal Control of Stochastic Partial Differential Equations. The problem to control a stochastic process so as to minimize a certain cost functional arises in many areas of Applied Sciences, Engineering and Mathematical Finance. An important practical question is to find, for a given cost functional, the optimizing control in a feedback form. We propose new tools to construct such optimal controls for a class of stochastic processes which are solutions to stochastic partial differential equations. As an outcome of this project we will obtain methods to determine the optimal control policies for a large variety of cost functionals and degenerated stochastic partial differential equations, in particular those arising in modelling of volatility in Finance.Read moreRead less