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Integrable Functional and Delay Differential Equations. Major challenges such as predicting epidemics or modelling the dynamics of human movement, rely on our understanding of functional and delay differential equations. This research will provide new methods for prediction and analysis of such models.
Decentralized Control Problems for Networked Systems. The conceptual advances to be made in the area decentralized control of networked systems.
New design rules for decentralized control in networked systems will be developed and published in the top international journals and major international conferences.
Also, a contribution of the project will be to produce high quality Ph.D. graduates in this area of control theory.
New mathematical and statistical methods that inform the control of infectious disease outbreaks. Emerging infectious diseases are an ever-present threat to our community, as highlighted by the recent SARS epidemic and current fears concerning avian influenza. The research proposed by this project will help policy makers implement effective border control and outbreak control against a variety of emerging and re-emerging infectious diseases, including SARS, influenza and the deliberate release o ....New mathematical and statistical methods that inform the control of infectious disease outbreaks. Emerging infectious diseases are an ever-present threat to our community, as highlighted by the recent SARS epidemic and current fears concerning avian influenza. The research proposed by this project will help policy makers implement effective border control and outbreak control against a variety of emerging and re-emerging infectious diseases, including SARS, influenza and the deliberate release of an infectious disease such as smallpox. The project will enhance preparedness through a better understanding of the relative merits of different control strategies, and provide new methodology that can dynamically guide border and outbreak control in the midst of an outbreak by making effective use of data. Read moreRead less
Nonlinear systems with disturbances: analysis, controller design and tradeoffs. A range of classical asymptotic methods (averaging, singular perturbations and slowly varying techniques) have been recently generalized to deal with nonlinear systems with disturbances. The goal of this proposal is the activation of these methods in analysis, controller design and understanding the design tradeoffs of nonlinear system with disturbances. Application areas are in adaptive, vibrational and gain schedul ....Nonlinear systems with disturbances: analysis, controller design and tradeoffs. A range of classical asymptotic methods (averaging, singular perturbations and slowly varying techniques) have been recently generalized to deal with nonlinear systems with disturbances. The goal of this proposal is the activation of these methods in analysis, controller design and understanding the design tradeoffs of nonlinear system with disturbances. Application areas are in adaptive, vibrational and gain scheduling control.Read moreRead less
Tools for analysis and controller design for nonlinear systems with disturbances. Control engineers often need to deal with nonlinear systems with disturbances (NSD). Analysis and controller design for NSD requires the use of a range of different tools including singular perturbations, averaging, slowly varying systems methods and large scale systems methods. However, often these tools are inadequate as they are only applicable to systems without disturbances. We propose to extend these tools to ....Tools for analysis and controller design for nonlinear systems with disturbances. Control engineers often need to deal with nonlinear systems with disturbances (NSD). Analysis and controller design for NSD requires the use of a range of different tools including singular perturbations, averaging, slowly varying systems methods and large scale systems methods. However, often these tools are inadequate as they are only applicable to systems without disturbances. We propose to extend these tools to NSD and apply them to a range of problems arising in analysis and controller design for NSD. These applications include vibrational control, gain scheduling, H-infinity control and adaptive control.Read moreRead less
Modelling and estimation techniques for the transmission and control of Tuberculosis with new and existing vaccines. Most Tuberculosis in Australia is seen in foreign-born people. Australia has an important role in providing leadership in the Asia-Pacific region in Tuberculosis control, which will have flow-on benefits to TB control in this country. Using mathematical models, this project will assess the use of vaccines for Tuberculosis in the developing world. Rising levels of extremely drug r ....Modelling and estimation techniques for the transmission and control of Tuberculosis with new and existing vaccines. Most Tuberculosis in Australia is seen in foreign-born people. Australia has an important role in providing leadership in the Asia-Pacific region in Tuberculosis control, which will have flow-on benefits to TB control in this country. Using mathematical models, this project will assess the use of vaccines for Tuberculosis in the developing world. Rising levels of extremely drug resistant infections make this a timely and important study with significant policy implications, both externally and in the Australian context. Read moreRead less
Stochastic methods for studying models of infection and abundance. The outcomes of this project will have immense benefit to Australia. They impact upon two areas of national importance, namely ensuring an environmentally sustainable Australia, and safeguarding Australia. In particular, the project will provide models, methodology and optimal strategies for sustainable use of Australia's biodiversity, for protecting Australia from invasive diseases and pests, and for protecting Australia from te ....Stochastic methods for studying models of infection and abundance. The outcomes of this project will have immense benefit to Australia. They impact upon two areas of national importance, namely ensuring an environmentally sustainable Australia, and safeguarding Australia. In particular, the project will provide models, methodology and optimal strategies for sustainable use of Australia's biodiversity, for protecting Australia from invasive diseases and pests, and for protecting Australia from terrorism and crime. Special focus will be given to the control of invasive species, the control of emerging infections, and the optimal allocation of resources. The current risks posed by invasive diseases and pests, and the alarming rate of destruction of biodiversity, warrant urgent funding of this project.Read moreRead less
Foundations of Vision Based Control of Robotic Vehicles. Automated and partially automated robotic vehicles are an emerging technology in society. The safety and performance of such systems depends crucially on their sensing and control algorithms. Vision sensing is one of the few sensor modalities that has the potential to adequately represent the complexity of a real world environment. By providing simple and effective vision based control algorithms this project develops Frontier Technologi ....Foundations of Vision Based Control of Robotic Vehicles. Automated and partially automated robotic vehicles are an emerging technology in society. The safety and performance of such systems depends crucially on their sensing and control algorithms. Vision sensing is one of the few sensor modalities that has the potential to adequately represent the complexity of a real world environment. By providing simple and effective vision based control algorithms this project develops Frontier Technologies for Building and Transforming Australian Industries by enabling a wide range of robotic vehicle applications, including aerial, submersible, and wheeled vehicles.Read moreRead less
A novel approach to controlling boundary-layer separation. This project will involve fundamental research into the control of the fluid dynamical phenomena of boundary-layer separation and transition to turbulence. The project will be built upon a firm foundation of mathematical modelling of the complex behaviour of fluid flows that are near the onset of flow separation or turbulence. The project will produce results that will permit the development of control strategies that can be implemented ....A novel approach to controlling boundary-layer separation. This project will involve fundamental research into the control of the fluid dynamical phenomena of boundary-layer separation and transition to turbulence. The project will be built upon a firm foundation of mathematical modelling of the complex behaviour of fluid flows that are near the onset of flow separation or turbulence. The project will produce results that will permit the development of control strategies that can be implemented in a wide variety of important technological applications, such as drag reduction in the aerospace and ship industries as well as the control of stall (or loss of lift) in modern aircraft.Read moreRead less
State observers for control systems with symmetry. Automated and partially automated systems are ubiquitous in society. The safety and performance of such systems depend crucially on the algorithms that govern the control of the system, as well as on the physical sensors and actuators of the system. By providing computationally tractable algorithms that are more robust and more stable, this project directly contributes to the safety and performance of a wide range of mechatronic control systems. ....State observers for control systems with symmetry. Automated and partially automated systems are ubiquitous in society. The safety and performance of such systems depend crucially on the algorithms that govern the control of the system, as well as on the physical sensors and actuators of the system. By providing computationally tractable algorithms that are more robust and more stable, this project directly contributes to the safety and performance of a wide range of mechatronic control systems. Improved control algorithms will also provide a competitive edge for Australian companies and agencies with mechatronic products.Read moreRead less