Design of Real-time Optimisation Methods with Guaranteed Performance. The project aim is the development of a framework for the advancement of optimisation algorithms operating in real-time applications. This project expects to generate new knowledge in the area of systems theory and optimisation, and its application to time-varying problems. Expected outcomes of this project should lead to a new theoretical and practical framework that aims to ameliorate the shortcomings of the existing approac ....Design of Real-time Optimisation Methods with Guaranteed Performance. The project aim is the development of a framework for the advancement of optimisation algorithms operating in real-time applications. This project expects to generate new knowledge in the area of systems theory and optimisation, and its application to time-varying problems. Expected outcomes of this project should lead to a new theoretical and practical framework that aims to ameliorate the shortcomings of the existing approaches that struggle to rapidly respond to new information. This should provide significant benefits. Specifically, this project aims to facilitate a technological leap that generates smaller, faster, and more powerful embedded systems such as broadband services, mobile phones, medical imagining, radar and avionics.Read moreRead less
Digitally networked dynamical systems: Performance and robustness analysis. The project aim is to advance mathematical and computational tools for analyzing collections of dynamical systems that interact with each other by the digital exchange of information. The significance of this aim stems from the emergence and growing complexity and scale of such cyber-physical networks in diverse domains, including agriculture, manufacturing, transport, and infrastructure management. The expected outcomes ....Digitally networked dynamical systems: Performance and robustness analysis. The project aim is to advance mathematical and computational tools for analyzing collections of dynamical systems that interact with each other by the digital exchange of information. The significance of this aim stems from the emergence and growing complexity and scale of such cyber-physical networks in diverse domains, including agriculture, manufacturing, transport, and infrastructure management. The expected outcomes will broaden the scope for exploring achievable performance in the design and deployment of systems that leverage networked interaction for operational gains. Beyond the technical advances, benefits will include sustaining Australia's strong reputation in systems engineering research and researcher training in this area.Read moreRead less
Optimisation Geometry. Signal processing is an enabling technology for multi-billion dollar industries including broadband connections, medical imaging devices and automotive collision avoidance systems. A key component is real-time optimisation. While various aspects of real-time optimisation have been studied extensively, especially under the banner of adaptive signal processing, the general (non-adaptive) problem will be studied here from a geometric viewpoint. Morse theory and other tools fr ....Optimisation Geometry. Signal processing is an enabling technology for multi-billion dollar industries including broadband connections, medical imaging devices and automotive collision avoidance systems. A key component is real-time optimisation. While various aspects of real-time optimisation have been studied extensively, especially under the banner of adaptive signal processing, the general (non-adaptive) problem will be studied here from a geometric viewpoint. Morse theory and other tools from differential topology will be used to understand the inherent complexity of real-time optimisation problems and to develop novel numerical algorithms for classes of real-time optimisation problems having widespread applicability.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE120102601
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
Distribution-free system identification: building models from experimental data under minimal statistical assumptions. In fields with strict safety or quality requirements, such as production control, communication and navigation, there is a great need for methods that can build models with guaranteed performance. However, there is a lack of efficient solutions that can work under minimal assumptions on the disturbances; the project aims at developing such methods.
Certified evaluation of uncertainty in models of dynamical systems. The purpose of this project is to develop methods which will aid engineers to better analyse the accuracy of models created using experimental data. To support the use of the methods, a toolbox with software implementations will also be developed.
The Role of Information in Game-Theoretic Decisions on Distributed Systems. Game theory is an important instrument for analysis and design of resource allocation algorithms on distributed systems. In many real-world problems, information available to agents is incomplete in contrast to the perfect information assumption often made. This project will investigate game-theoretic decisions and quantify information analytically using concepts from information theory. A better understanding and quanti ....The Role of Information in Game-Theoretic Decisions on Distributed Systems. Game theory is an important instrument for analysis and design of resource allocation algorithms on distributed systems. In many real-world problems, information available to agents is incomplete in contrast to the perfect information assumption often made. This project will investigate game-theoretic decisions and quantify information analytically using concepts from information theory. A better understanding and quantitative modelling of information will lead to distributed systems that are optimal and robust with respect to communication constraints. Project outcomes will be applicable to electrical power grids, renewable energy generation and storage, water irrigation networks, and communication systems.Read moreRead less
Stability and performance analysis for uncertain time-varying interconnected systems. This project will deliver new mathematical tools for the study of interconnected systems. This will broaden the scope for rigorously certifying engineered systems and understanding interactions in the natural world. Potential application areas include telecommunications, transport, water distribution, smart-grids, neuroscience and cell biology.
Feedback entropy in dynamical systems. This project aims to use the fundamental concept of entropy to help evaluate the decision-making effort in a variety of feedback control systems in science and engineering. This understanding will help develop smarter technologies and algorithms in areas such as manufacturing, vehicular technology and automated irrigation.
Nonstochastic information flows in networked dynamical systems. Feedback control is a crucial element of manufacturing, vehicular and energy systems, and is needed to guarantee hard performance bounds in safety- and mission-critical environments. When these control systems are implemented over communication networks, the amount of information flowing through them becomes a critical determinant of performance. However, the nonprobabilistic control objectives make standard information theory inapp ....Nonstochastic information flows in networked dynamical systems. Feedback control is a crucial element of manufacturing, vehicular and energy systems, and is needed to guarantee hard performance bounds in safety- and mission-critical environments. When these control systems are implemented over communication networks, the amount of information flowing through them becomes a critical determinant of performance. However, the nonprobabilistic control objectives make standard information theory inapplicable. This project aims to develop a novel, nonstochastic theory of information in order to analyse and design networked dynamical systems that obey worst-case performance limits. This will yield robust, probability-free algorithms for distributed control, filtering and causality inference.Read moreRead less
Extremum seeking control: a systematic design framework. Design of engineered systems whose operation is "best" or optimal in some sense is essential in tackling a range of socio-economic problems facing our society. This project will provide a methodology for design of such systems that would improve performance of various irrigation, optical communications, economics and power generation systems.