A Mathematical Approach to Flexible Management of Open Pit Mines with Uncertain Geology and Unpredictable Demand. This project will create new mathematical algorithms to flexibly manage open pit mining projects. The development of strategic plans for mining operations is a highly complex task, based on incomplete geological information and uncertain future commodity demand. The smart mathematics we create will allow Australia to capitalise on upturns in international demand, while limiting unavo ....A Mathematical Approach to Flexible Management of Open Pit Mines with Uncertain Geology and Unpredictable Demand. This project will create new mathematical algorithms to flexibly manage open pit mining projects. The development of strategic plans for mining operations is a highly complex task, based on incomplete geological information and uncertain future commodity demand. The smart mathematics we create will allow Australia to capitalise on upturns in international demand, while limiting unavoidable negative outcomes, by flexibly adjusting the mining operation to prevailing geological and economic conditions. Australia's mineral exports are worth over $50b annually to the Australian economy. Our techniques will better manage Australia's mining projects and capture new, emerging markets, significantly impacting on Australia's balance of trade.Read moreRead less
Joint System Identification for Point Processes and Time-series. In various application areas such as neurophysiology, earthquake modeling, price spikes in electricity markets, the data of interest are point processes (aka sequences of events) or combinations of point processes and analog signals. To understand the underlying subject of interest we need to be able to extract the maximum information from these observation sequences. The current tools for doing this are very limited. This resear ....Joint System Identification for Point Processes and Time-series. In various application areas such as neurophysiology, earthquake modeling, price spikes in electricity markets, the data of interest are point processes (aka sequences of events) or combinations of point processes and analog signals. To understand the underlying subject of interest we need to be able to extract the maximum information from these observation sequences. The current tools for doing this are very limited. This research program will develop the complex signal processing and system methodology needed to create a suitable tool set.Read moreRead less
Real-time scheduling of trains to control peak electricity demand. This project aims to develop new scheduling and control methods that will enable railways to reduce their demand for electricity during peak demand periods, without undue disruption to the timetable.
These new methods and systems will integrate with—and expand the capabilities of—an Australian train control system that is used by railways around the world. This will enable better management of electricity within a region and be ....Real-time scheduling of trains to control peak electricity demand. This project aims to develop new scheduling and control methods that will enable railways to reduce their demand for electricity during peak demand periods, without undue disruption to the timetable.
These new methods and systems will integrate with—and expand the capabilities of—an Australian train control system that is used by railways around the world. This will enable better management of electricity within a region and better use of renewable energy sources, with significant cost savings for railways and the wider community.Read moreRead less
Competitive supplier bidding in supply chains. This project will use mathematical modelling to contribute to better management practice in dealing with procurement. With the increasing use of auctions and sophisticated bidding procedures it is essential to improve our understanding of this important area.
Towards a unified theory of constrained control and estimation. The project will investigate the implications of duality and other connections between constrained control and estimation. We believe that the research will result in a richer understanding of these problems. In particular, we envisage an impact in at least four areas: (i) Computational issues, i.e., development of more efficient algorithms for constrained problems. (ii) Geometry of constrained problems, by extending recent results ....Towards a unified theory of constrained control and estimation. The project will investigate the implications of duality and other connections between constrained control and estimation. We believe that the research will result in a richer understanding of these problems. In particular, we envisage an impact in at least four areas: (i) Computational issues, i.e., development of more efficient algorithms for constrained problems. (ii) Geometry of constrained problems, by extending recent results pertaining to constrained control to estimation problems. (iii) Problems with mixed constraints, for example, interval and finite set constraints. (iv) Fundamental limitations imposed by constraints to filtering and control problems.Read moreRead less
A Bayesian framework for frequency domain identification. The national and social benefits of the project will be reflected
through the application recognition of the research work in the various industry and research community; and also through our international collaboration. The national and social benefits are also delivered by producing specialized researchers and engineers in systems and control engineering. These people include the research students who will participate in and learn f ....A Bayesian framework for frequency domain identification. The national and social benefits of the project will be reflected
through the application recognition of the research work in the various industry and research community; and also through our international collaboration. The national and social benefits are also delivered by producing specialized researchers and engineers in systems and control engineering. These people include the research students who will participate in and learn from the proposed project.Read moreRead less
Parsimonious Quantization in Signal Processing and Control. In today's society there is an abundance of data. Indeed, it could be argued that we suffer from data 'overload'. Thus to turn 'data' into actions, the need for parsimony in signal processing and control arises. For that purpose, the data must be sampled (in time) and quantized (in space). Within this context, the current project is aimed at understanding aspects of sampled parsimonious quantization. The results have widespread practica ....Parsimonious Quantization in Signal Processing and Control. In today's society there is an abundance of data. Indeed, it could be argued that we suffer from data 'overload'. Thus to turn 'data' into actions, the need for parsimony in signal processing and control arises. For that purpose, the data must be sampled (in time) and quantized (in space). Within this context, the current project is aimed at understanding aspects of sampled parsimonious quantization. The results have widespread practical uses including digital cameras, video compression, audio quantization, control over communication networks, switching of electronic devices and many others.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
Constrained Receding Horizon Control of Nonlinear Systems. Most real world control problems involve the design of strategies that
achieve performance goals in the presence of constraints on the system variables. Receding horizon control is a strategy that addresses this problem by directly optimising performance under the appropriate constraints. This project will address theoretical and computational issues associated with this methodology. The expected outcomes include:
* New finitely p ....Constrained Receding Horizon Control of Nonlinear Systems. Most real world control problems involve the design of strategies that
achieve performance goals in the presence of constraints on the system variables. Receding horizon control is a strategy that addresses this problem by directly optimising performance under the appropriate constraints. This project will address theoretical and computational issues associated with this methodology. The expected outcomes include:
* New finitely parameterised solutions for nonlinear systems.
* Implementations of reduced computational complexity.
* New insights into analytical properties of the methodology.
These outcomes are expected to add to Australian scientific recognition and to bring significant economic benefit to Australian industry.
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lll-conditioned and constrained inverse problems in Signal Processing, Telecommunications and Control. Aims: To carry out fundamental research on methods for understanding and solving inverse problems in signal processin, telecommunications and control. To translate these fundamental results into practical outcomes of importance to Australian Industry.
Significance: Signal Processing, Telecommunications and Control are core technologies for all modern societies. The research proposed here ....lll-conditioned and constrained inverse problems in Signal Processing, Telecommunications and Control. Aims: To carry out fundamental research on methods for understanding and solving inverse problems in signal processin, telecommunications and control. To translate these fundamental results into practical outcomes of importance to Australian Industry.
Significance: Signal Processing, Telecommunications and Control are core technologies for all modern societies. The research proposed here will generate new methods for designing and understanding key algorithms in these areas. Particular emphasis will be placed on difficult problems involving ill-conditioned inverses or those having hard constraints that must be satisfied.
Expected Outcomes: A prime outcome will be fundamental research results at the highest international level. This will be accompanied by top level refereed publications and books. There will also be direct and tangible benefits to Australian industry.Read moreRead less