Explicit methods in number theory: Computation, theory and application. This project aims to use explicit estimates to unify three problems in number theory: primitive roots, Diophantine quintuples, and linear independence of zeroes of the Riemann zeta-function. It will use computational and analytic number theory to reduce the quintuples problem to a soluble level. Pursuing relations between the zeta zeroes will overhaul many current results. This project will apply its findings about primitive ....Explicit methods in number theory: Computation, theory and application. This project aims to use explicit estimates to unify three problems in number theory: primitive roots, Diophantine quintuples, and linear independence of zeroes of the Riemann zeta-function. It will use computational and analytic number theory to reduce the quintuples problem to a soluble level. Pursuing relations between the zeta zeroes will overhaul many current results. This project will apply its findings about primitive roots to signal processing, cryptography and cybersecurity.Read moreRead less
Optimal discrete-valued control strategies: A new direction in nonlinear optimal control. The field of optimal control is concerned with finding ways to manipulate systems in the best possible manner. The latest research in optimal control focuses primarily on systems in which the input variables are continuous-valued, yet many real-world systems are controlled via discrete input variables that assume values from a finite set - such as "On/Off", "Open/Closed", "Gear 1/2/3". This project will rev ....Optimal discrete-valued control strategies: A new direction in nonlinear optimal control. The field of optimal control is concerned with finding ways to manipulate systems in the best possible manner. The latest research in optimal control focuses primarily on systems in which the input variables are continuous-valued, yet many real-world systems are controlled via discrete input variables that assume values from a finite set - such as "On/Off", "Open/Closed", "Gear 1/2/3". This project will revolutionise the field of optimal control through the development of new theory and computational tools for optimising discrete input variables in constrained nonlinear systems. The new results will be applied to solve critical problems in the areas of shale-gas extraction, chromatography, pipeline transportation, and micro-robots.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
Safe, Plug and Play, Multi Agent Dynamic Systems. From driverless cars, to networks of nano satellites, and complex biological networks, the modern world has many examples of multi agent dynamic systems that need careful coordination and control to perform correctly. In many cases, these systems are built up using designs based on intuition, computer simulations and empirical testing. However, there is a clear need to advance the fundamental understandings of such systems: (i) Verifiable overall ....Safe, Plug and Play, Multi Agent Dynamic Systems. From driverless cars, to networks of nano satellites, and complex biological networks, the modern world has many examples of multi agent dynamic systems that need careful coordination and control to perform correctly. In many cases, these systems are built up using designs based on intuition, computer simulations and empirical testing. However, there is a clear need to advance the fundamental understandings of such systems: (i) Verifiable overall dynamic system properties need to be derived to give assurance of performance in situations not previously envisaged; (ii) It is also critical to understand stable system behaviours not just with fixed configurations, but with agile configurations such as splitting, merging, and morphingRead moreRead less
Improving the operation of large-scale irrigation networks through automation. Channel networks for irrigation are critical infrastructure. Efficient operation is important in terms of sustainability and food security. This project aims to deliver automatic control techniques for improving system-wide performance. The research outcomes will secure Australia's place at the forefront of irrigation network automation technology.
Robustness, resilience and security of networked dynamic systems. This project will develop advanced digital control techniques to address security, resilience and robustness in complex networks and deliver fundamental advances in the technology for secure and reliable networks. The project will advance the theory on consensus of networked multi-agent systems to facilitate the fast adoption of the internet of things and the continuous growth of cyber-physical systems These systems in many cases ....Robustness, resilience and security of networked dynamic systems. This project will develop advanced digital control techniques to address security, resilience and robustness in complex networks and deliver fundamental advances in the technology for secure and reliable networks. The project will advance the theory on consensus of networked multi-agent systems to facilitate the fast adoption of the internet of things and the continuous growth of cyber-physical systems These systems in many cases work with high efficiency, stability, and low communication overheads. However, there are cases where disturbance amplification and cascading failures can arise from relatively small unforeseen events. The theoretical work will be complemented by detailed nonlinear networked simulations, using intelligent vehicle systems as a case study.Read moreRead less
Distributed Estimation, Control and Optimisation for Networked Systems. This project aims to study large scale networked systems in major infrastructures including power networks, transportation networks, internet of things, and other cyber-physical systems. This project is expected to develop new methodology and algorithms for distributed estimation, control and optimisation of these systems. Distributed solutions are essential because traditional techniques which were designed for small system ....Distributed Estimation, Control and Optimisation for Networked Systems. This project aims to study large scale networked systems in major infrastructures including power networks, transportation networks, internet of things, and other cyber-physical systems. This project is expected to develop new methodology and algorithms for distributed estimation, control and optimisation of these systems. Distributed solutions are essential because traditional techniques which were designed for small systems are not suitable for efficient operations of large scale systems. Application examples include distributed state estimation for power networks, control of multi-agent systems and optimal scheduling of transportation networks. The outcomes of this project are vital to the understanding and management of these systems. Read moreRead less