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.
New Frontiers and Advances in Discrete Integrable Systems. Integrable systems boast a long and venerable history, and have such famous members as the Kepler system, the Korteweg-de Vries equation, and the sine-Gordon equation. More recently, interest in integrable systems has expanded to include systems with discrete time, that is, ordinary difference equations (or maps) and integrable partial difference equations. These discrete integrable systems are arguably more fundamental than the continuo ....New Frontiers and Advances in Discrete Integrable Systems. Integrable systems boast a long and venerable history, and have such famous members as the Kepler system, the Korteweg-de Vries equation, and the sine-Gordon equation. More recently, interest in integrable systems has expanded to include systems with discrete time, that is, ordinary difference equations (or maps) and integrable partial difference equations. These discrete integrable systems are arguably more fundamental than the continuous-time ones. Based upon recent breakthroughs this study will combine analysis, geometry, and computer algebra to expand and systematise this new interdisciplinary field of discrete integrable systems.Read moreRead less
Development of a multivariate physiologic state space analysis framework for characterising functional properties of the cardiovascular system. Pathologies of the cardiovascular system arising from heart diseases make a major contribution to morbidity and mortality in the Australian community. This project will provide new diagnostic modalities based on advanced noninvasive bioinstrumentation, signal processing and model-based analytical methods to identify early signs of developing disease or t ....Development of a multivariate physiologic state space analysis framework for characterising functional properties of the cardiovascular system. Pathologies of the cardiovascular system arising from heart diseases make a major contribution to morbidity and mortality in the Australian community. This project will provide new diagnostic modalities based on advanced noninvasive bioinstrumentation, signal processing and model-based analytical methods to identify early signs of developing disease or the acute exacerbation of existing disease. The impact of these new technologies on the early diagnosis and improved triaging of patients in emergency departments is potentially profound and could result in improved healthcare outcomes for the patients and reduced admissions to hospital as well as the development of a substantial international market.Read moreRead less
Decision-making in social insects and nature-inspired optimisation algorithms. Insect societies are ideal for the study of complex systems. Contrary to other complex systems, insect colonies can be modified without destroying the system. Computer scientists have found a source of inspiration in the behaviour of social insects for solving optimisation problems. Here we will study the influence of information flow on decision-making in real insect societies using:
1) Experiments aimed at investig ....Decision-making in social insects and nature-inspired optimisation algorithms. Insect societies are ideal for the study of complex systems. Contrary to other complex systems, insect colonies can be modified without destroying the system. Computer scientists have found a source of inspiration in the behaviour of social insects for solving optimisation problems. Here we will study the influence of information flow on decision-making in real insect societies using:
1) Experiments aimed at investigating how storage and transfer of information affects individual decision-making within a honey bee colony (University of Sydney)
2) Design of a new class of 'bee' algorithms that incorporate direct information transfer and are aimed at solving dynamic multicriterion optimisation problems (University of Leipzig).
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Discovery Early Career Researcher Award - Grant ID: DE120101113
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
Mathematical modelling of breast cancer immunity: guiding the development of preventative breast cancer vaccines. The project will apply various methods from mathematical modelling to simulate anti-breast cancer immune responses to incipient tumours. Results from simulation and analysis will help develop, assess, and optimise preventative breast cancer vaccines for further testing in future experimental studies.
Geometric methods in mathematical physiology. This project will develop new geometric methods for the analysis of multiple-scales models of physiological rhythms and patterns, and will design diagnostic tools to identify key parameters that cause and control these signals. Thus, this project will deliver powerful mathematics for detecting and understanding fundamental issues of physiological systems.
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
Algebraic and geometric methods in switched control system analysis and design. The theory of switched control systems underpins complex network technologies that enable cleaner, more efficient and sustainable energy, transport and industry. The research aims to extend the fundamental knowledge base in systems and control, contributing to maintain the solid world-class reputation of Australia in the field.
How can cultural innovations trigger the emergence of new diseases? This project aims to develop new mathematical and computational models to examine whether cultural innovations creates conditions for the emergence of new diseases. It will combine elements of microbial evolution and cultural evolution to advance a new modelling framework to consider their joint dynamics. The expected outcome is an enhanced understanding of how human behaviour influences the emergence of infections. This will br ....How can cultural innovations trigger the emergence of new diseases? This project aims to develop new mathematical and computational models to examine whether cultural innovations creates conditions for the emergence of new diseases. It will combine elements of microbial evolution and cultural evolution to advance a new modelling framework to consider their joint dynamics. The expected outcome is an enhanced understanding of how human behaviour influences the emergence of infections. This will bring benefits of computational models for broad use in understanding complex population processes, and training to maintain mathematical and computational skills in the Australian workforce.
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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.