Discovery Early Career Researcher Award - Grant ID: DE210101056
Funder
Australian Research Council
Funding Amount
$395,775.00
Summary
Realising the potential of hyperbolic programming. This project aims to develop and analyse new mathematical and algorithmic methods for polynomial optimisation and decision problems. In doing so it expects to generate knowledge and tools in mathematical optimisation that build on recent developments in the theory of hyperbolic polynomials. Expected outcomes include more scalable and/or reliable methods for polynomial optimisation and safety verification of dynamical systems, and theory explain ....Realising the potential of hyperbolic programming. This project aims to develop and analyse new mathematical and algorithmic methods for polynomial optimisation and decision problems. In doing so it expects to generate knowledge and tools in mathematical optimisation that build on recent developments in the theory of hyperbolic polynomials. Expected outcomes include more scalable and/or reliable methods for polynomial optimisation and safety verification of dynamical systems, and theory explaining the power and limitations of these methods when compared with existing approaches. Possible benefits include safer and more reliable complex engineered systems, such as the power grid or interacting autonomous vehicles, verified by methods built on those developed in the project.Read moreRead less
Optimisation of piezoelectric metamaterials: Towards robotic stress sensors. This project aims to design new piezoelectric material microstructures that can enhance the measurement of complex local stress states within robotic limbs. The project expects to generate new knowledge of the achievable properties of multi-poled piezoelectric materials and develop computational tools for the analysis and structural optimisation of such materials. The designed microstructures may revolutionise piezoelec ....Optimisation of piezoelectric metamaterials: Towards robotic stress sensors. This project aims to design new piezoelectric material microstructures that can enhance the measurement of complex local stress states within robotic limbs. The project expects to generate new knowledge of the achievable properties of multi-poled piezoelectric materials and develop computational tools for the analysis and structural optimisation of such materials. The designed microstructures may revolutionise piezoelectric sensor technology. Expected outcomes include manufactured proof-of-concept sensors that enable measurement of local stress fields. This should provide significant benefits, such as improved future robot capability and reliability, and research training for next-generation Australian computational mathematicians. Read moreRead less
Optimal control of nonlinear delay systems: theory, algorithms, and applications. Time delays are present in many engineering systems, including robots, irrigation canals, and chemical reactors. This project aims to develop state-of-the-art techniques for controlling systems with time delays in an optimal manner.
Porous beta-titanium bone implants optimised for strength and bio-compatibility: design and fabrication. The project aims to develop the scaffold-design and manufacturing techniques that will underpin the next generation of bone implants. The scaffolds will be specifically designed to match the key biomechanical properties of bone, and fabricated from novel titanium alloys using the latest generation of advanced manufacturing technologies.
Development of methods and algorithms to support multidisciplinary optimisation. This project will aim to develop a number of novel and computationally efficient schemes to deal with the key challenges facing multidisciplinary optimisation. These advancements will allow us to solve a number of challenging and intractable problems in science and engineering.
Relays and robustness: achieving optimal efficiency in wireless sensor networks. Wireless sensor networks consist of coordinated sensing and relay devices that offer us new ways to observe and interact with the physical world, with direct applications to national security and environmental monitoring. We aim to develop powerful new methods to get the best performance from a planned sensor network through smart relay deployment.
Optimal maintenance planning for critical mining and energy infrastructure. This project aims to develop cutting-edge mathematical algorithms for optimising maintenance activities in the mining and energy sectors. Such maintenance activities are prone to budget and time overruns due to poor planning - the result of outdated, inefficient manual processes. The project is expected to result in new maintenance planning methods, underpinned by rigorous mathematical theory, for reducing manual interve ....Optimal maintenance planning for critical mining and energy infrastructure. This project aims to develop cutting-edge mathematical algorithms for optimising maintenance activities in the mining and energy sectors. Such maintenance activities are prone to budget and time overruns due to poor planning - the result of outdated, inefficient manual processes. The project is expected to result in new maintenance planning methods, underpinned by rigorous mathematical theory, for reducing manual intervention and optimising both short- and long-term maintenance based on real-time sensor data. These new methods will be powerful tools for tackling the complexity of large-scale, time-critical maintenance projects, driving productivity in the resources industry and fostering collaboration between mathematicians and engineers.Read moreRead less
Maximising value in underground mine planning. Mining is crucial to Australia’s economy, contributing 8 per cent of GDP and 55 per cent of the value of goods exported. Working with mining companies Rand and Tribune, this project tackles issues faced in underground mine planning. While integrated optimisation of design and production in open cut mining is well established, no equivalent capability is available for underground mines. This project aims to develop innovative techniques to optimise t ....Maximising value in underground mine planning. Mining is crucial to Australia’s economy, contributing 8 per cent of GDP and 55 per cent of the value of goods exported. Working with mining companies Rand and Tribune, this project tackles issues faced in underground mine planning. While integrated optimisation of design and production in open cut mining is well established, no equivalent capability is available for underground mines. This project aims to develop innovative techniques to optimise the design of the access network and the production scheduling in an underground mine in order to maximise value over the life of the operation. The outcome intends to be a new strategic software tools for the sector, underpinning increased efficiency and sustainability of Australian mines as well as international competitiveness.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
Maximisation of value in underground mine access design. This project represents a major advance in the problem of optimising the mine value associated with the access infrastructure of underground mines and providing powerful planning tools for management. The usefulness to the mining industry of the methods and algorithms the project is pioneering lies in their accuracy, flexibility and generality. Not only can they be used for benchmarking value in the design of specific mines, but they can ....Maximisation of value in underground mine access design. This project represents a major advance in the problem of optimising the mine value associated with the access infrastructure of underground mines and providing powerful planning tools for management. The usefulness to the mining industry of the methods and algorithms the project is pioneering lies in their accuracy, flexibility and generality. Not only can they be used for benchmarking value in the design of specific mines, but they can also determine the profitability or viability of mines under the use of new technologies. This is an important project for ensuring that Australia's mining industry remains efficient and internationally competitive. Given Australia’s economic dependence on mineral resources, it will also benefit the country as a whole.Read moreRead less