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Field of Research : Applied Mathematics
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  • Funded Activity

    Discovery Projects - Grant ID: DP0345779

    Funder
    Australian Research Council
    Funding Amount
    $374,000.00
    Summary
    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.
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    Funded Activity

    Discovery Projects - Grant ID: DP0881419

    Funder
    Australian Research Council
    Funding Amount
    $135,000.00
    Summary
    Fault tolerant multisensor feedback control. This project will advance knowledge by deepening the theoretical understanding of the interplay between multisensory data and feedback control mechanisms. It will also expand the tool sets of control engineering with innovative multisensory control designs. We see major benefits for Australia arising from this project both by enhancing its scientific reputation and by promoting technological advances in its industries and services. The project has pot .... Fault tolerant multisensor feedback control. This project will advance knowledge by deepening the theoretical understanding of the interplay between multisensory data and feedback control mechanisms. It will also expand the tool sets of control engineering with innovative multisensory control designs. We see major benefits for Australia arising from this project both by enhancing its scientific reputation and by promoting technological advances in its industries and services. The project has potential to contribute to the National Research Priority area: Frontier Technologies for Building and Transforming Australian Industries, since it has direct impact on the relevant areas of biotechnology, information, communication technology, nanotechnology and sensor technology.
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    Funded Activity

    Linkage Projects - Grant ID: LP0562455

    Funder
    Australian Research Council
    Funding Amount
    $144,888.00
    Summary
    Development of a Multi Threat Risk Assessment Model for Critical Infrastructure Using Scripted Agent Computer Technology. Current risk assessment paradigms are not suited to the control of catastrophic events such as terrorism. An advanced approach to risk assessment will be developed in this project for rare high impact events such as bomb blasts, where critical infrastructure is threatened. A new software platform based on scripted agent modelling will be constructed that will allow for state .... Development of a Multi Threat Risk Assessment Model for Critical Infrastructure Using Scripted Agent Computer Technology. Current risk assessment paradigms are not suited to the control of catastrophic events such as terrorism. An advanced approach to risk assessment will be developed in this project for rare high impact events such as bomb blasts, where critical infrastructure is threatened. A new software platform based on scripted agent modelling will be constructed that will allow for state of the art models to be used as agents providing a dynamic risk evaluation and necessary information for actions to infrastructure owners and emergency responders as a threat develops. Both the developed scripted agent and the risk assessment technologies can be applied to other technologies and complex risks, such as waste disposal and biotechnology.
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    Funded Activity

    Discovery Projects - Grant ID: DP0209268

    Funder
    Australian Research Council
    Funding Amount
    $487,202.00
    Summary
    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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    Funded Activity

    Linkage Projects - Grant ID: LP0349134

    Funder
    Australian Research Council
    Funding Amount
    $550,000.00
    Summary
    Control and safety monitoring systems for large scale irrigation networks. The water losses in irrigation channels in Australia are large, but they can be substantially reduced by employing advanced control and monitoring systems, leading to significant environmental benefits. Due to the large size of the irrigation networks, design of control and monitoring systems represents technical challenges for which there are currently no good methodologies. In this project we will develop design methodo .... Control and safety monitoring systems for large scale irrigation networks. The water losses in irrigation channels in Australia are large, but they can be substantially reduced by employing advanced control and monitoring systems, leading to significant environmental benefits. Due to the large size of the irrigation networks, design of control and monitoring systems represents technical challenges for which there are currently no good methodologies. In this project we will develop design methodologies, and in particular we will focus on issues relating to the communication constraints arising since data are transmitted over a radio network and the trade off between robustness and performance in centralised and decentralised designs.
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    Funded Activity

    Linkage Projects - Grant ID: LP0882474

    Funder
    Australian Research Council
    Funding Amount
    $153,762.00
    Summary
    Development of a Multi Threat Risk Assessment Model for Critical Infrastructure Using Scripted Agent Computer Technology. The project will develop a distributed risk network capable of real time assessment of multiple threats to critical infrastructure, which will guide decision making on the appropriate response as the nature of the threat changes. This will assist all stakeholders and allow an integrated response across industry and government agencies. The developed technology will find read .... Development of a Multi Threat Risk Assessment Model for Critical Infrastructure Using Scripted Agent Computer Technology. The project will develop a distributed risk network capable of real time assessment of multiple threats to critical infrastructure, which will guide decision making on the appropriate response as the nature of the threat changes. This will assist all stakeholders and allow an integrated response across industry and government agencies. The developed technology will find ready application in other areas where integration of science and technology is required to solve complex problems. For example, risk network technology has application to natural hazards, waste disposal and financial markets while the scripted agent has application to communication technologies and sensor networks.
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    Funded Activity

    Discovery Projects - Grant ID: DP0663082

    Funder
    Australian Research Council
    Funding Amount
    $669,945.00
    Summary
    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.
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    Funded Activity

    Federation Fellowships - Grant ID: FF0241203

    Funder
    Australian Research Council
    Funding Amount
    $1,417,500.00
    Summary
    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.
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    Funded Activity

    Discovery Projects - Grant ID: DP0986696

    Funder
    Australian Research Council
    Funding Amount
    $150,000.00
    Summary
    Duality, singular perturbations and numerical analysis in infinite dimensional linear programming problems related to problems of control of nonlinear dynamical systems. Problems of control of nonlinear dynamical systems attract continued interest of eminent researchers motivated by important applications and by the fact that analytical and/or numerical analysis of a general nonlinear control problem presents a challenging task. The outcomes of the project will be both fundamental theoretical re .... Duality, singular perturbations and numerical analysis in infinite dimensional linear programming problems related to problems of control of nonlinear dynamical systems. Problems of control of nonlinear dynamical systems attract continued interest of eminent researchers motivated by important applications and by the fact that analytical and/or numerical analysis of a general nonlinear control problem presents a challenging task. The outcomes of the project will be both fundamental theoretical results and readily applicable (linear programming based) algorithms that will equip researchers and engineers with new tools for analysis and numerical solution of nonlinear control problems (including problems that have been intractable so far). The project will further enhance Australia's international reputation in Control Theory and its Applications.
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    Funded Activity

    Discovery Projects - Grant ID: DP1095123

    Funder
    Australian Research Council
    Funding Amount
    $220,000.00
    Summary
    Robust Dynamical System Identification. Innovative robust system identification methods are a Frontier Technology for Transforming Australian Industries. Robust system identification will provide a technology for generating high fidelity models by the use of breakthrough science. With the majority of advanced industrial control systems reliant on accurate models significant savings could be made due to the implicit improvement in process control. Furthermore, system identification is a key enabl .... Robust Dynamical System Identification. Innovative robust system identification methods are a Frontier Technology for Transforming Australian Industries. Robust system identification will provide a technology for generating high fidelity models by the use of breakthrough science. With the majority of advanced industrial control systems reliant on accurate models significant savings could be made due to the implicit improvement in process control. Furthermore, system identification is a key enabling technology in most modern systems (e.g. in aerospace, manufacturing, mining, minerals processing and telecommunications) and is also important in the emerging areas of nanotechnology and systems biology.
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