Reliable and efficient algorithms for modelling dynamical systems from data. Mathematical and computational models are increasingly important in diverse areas of science and engineering including aircraft and automotive design, robotics, medical sensing, and biology. However, finding an accurate model remains a difficult task. This project will develop new methods to reliably find highly accurate models from recorded data.
New mathematics for multi-extremal optimization and diffusion tensor imaging. This project aims to establish numerically certifiable mathematical theory and methods for semi-algebraic optimisation problems. Numerically certifiable optimisation principles and techniques are vital for the practical use of optimisation technologies because they can be readily implemented by common computer models and algorithms. Yet no such methodologies exist for multi-extremal, semi-algebraic optimisation problem ....New mathematics for multi-extremal optimization and diffusion tensor imaging. This project aims to establish numerically certifiable mathematical theory and methods for semi-algebraic optimisation problems. Numerically certifiable optimisation principles and techniques are vital for the practical use of optimisation technologies because they can be readily implemented by common computer models and algorithms. Yet no such methodologies exist for multi-extremal, semi-algebraic optimisation problems which are common in modern science and medicine. The expected outcomes of this project include enhanced optimisation methods for diffusion tensor imaging, an emerging technology in brain sciences.Read moreRead less
Innovations in sparse optimisation: big data nonsmooth optimisation. This project aims to produce innovative optimisation methods capable of solving a wide range of practical problems that are currently too complex to be solved. Optimisation involving huge data sets is ubiquitous. Sparse optimisation has emerged as a challenging frontier of modern optimisation because it effectively computes an optimal solution with desired low complexity structure so that a resulting solution can be efficiently ....Innovations in sparse optimisation: big data nonsmooth optimisation. This project aims to produce innovative optimisation methods capable of solving a wide range of practical problems that are currently too complex to be solved. Optimisation involving huge data sets is ubiquitous. Sparse optimisation has emerged as a challenging frontier of modern optimisation because it effectively computes an optimal solution with desired low complexity structure so that a resulting solution can be efficiently stored, implemented and utilised, and is robust to the data inexactness. This project aims at developing innovative mathematical techniques and efficient numerical schemes for solving sparse optimisation problems. The intended outcomes will have significant impact on many areas of science, medicine and engineering, where sparse optimisation is used, including cancer radiotherapy optimal planning.Read moreRead less
A New Approach to High-Performance Control of Nonlinear Systems. The coming generation of robots are highly mobile and will interact significantly with their environment, each other, and human collaborators. However, this leads to highly coupled nonlinear dynamical behaviour, and achieving accurate and reliable control of these systems is pushing current control theory to breaking point. This project aims to develop a new approach to control of nonlinear systems based on contraction theory and c ....A New Approach to High-Performance Control of Nonlinear Systems. The coming generation of robots are highly mobile and will interact significantly with their environment, each other, and human collaborators. However, this leads to highly coupled nonlinear dynamical behaviour, and achieving accurate and reliable control of these systems is pushing current control theory to breaking point. This project aims to develop a new approach to control of nonlinear systems based on contraction theory and convex optimisation, extending the power of optimisation-based control from linear to non-linear systems. The project is expected to lead to new theoretical developments, constructive algorithms and software, and experimental demonstrations on a range of platforms including bipedal walking robots and underwater robots.Read moreRead less
Estimation of Complex Networked Dynamic Systems. An essential part of science and engineering is the development of mathematical models to describe how observed quantities relate to one another. For example, such models have proven to be extremely powerful in predicting the value of financial instruments, in providing high performance control of robots, and in detecting faults or changes in petrochemical processing plants. Constructing these models based on measurements from the system itself is ....Estimation of Complex Networked Dynamic Systems. An essential part of science and engineering is the development of mathematical models to describe how observed quantities relate to one another. For example, such models have proven to be extremely powerful in predicting the value of financial instruments, in providing high performance control of robots, and in detecting faults or changes in petrochemical processing plants. Constructing these models based on measurements from the system itself is known as system identification. This project is directed at developing new system identification methods for situations that, on the one hand, have previously been considered unsolvable, and on the other, are acknowledged as being of high practical interest.Read moreRead less
Exploring new tools in nonlinear filtering and control. The conceptual advances with new design rules to be developed in the area of nonlinear filtering and control. Major benefits of this project will be its direct applications to state estimation and control problems in automobile, manufacturing, military hardware and medical device industries, and its increased capacity of contact research.
Cooperative control of networked systems with constraints. This project aims to address the challenge of networked systems in deploying teams of robotic agents. Control of the networked system is extremely difficult due to real world constraints imposed on each agent. This project will focus on motion constraints, equipment/capability constraints, and spatial constraints. In addition to theoretical advances, the wider scientific community will benefit directly, because the control algorithms dev ....Cooperative control of networked systems with constraints. This project aims to address the challenge of networked systems in deploying teams of robotic agents. Control of the networked system is extremely difficult due to real world constraints imposed on each agent. This project will focus on motion constraints, equipment/capability constraints, and spatial constraints. In addition to theoretical advances, the wider scientific community will benefit directly, because the control algorithms developed are expected to allow straightforward deployment of robotic teams. There are myriad applications for cooperative robotic agents, ranging from surveillance, to environmental monitoring using underwater and aerial drone formations – with an array of benefits and impacts including economic, commercial and societal. The results are intended to ensure and cement Australia’s front-line position in the current technological revolution known as “Industry 4.0”.Read moreRead less
Information consensus and coordination of multiagent systems. Revolutions in information and communication technologies create a complex 'network of everything'. This project will develop advanced control techniques for such networks, to make the nation's power systems safer, to fly formations of unmanned airborne vehicles, and to extract key information from networks of environmental monitoring sensors.
Signal separation and tracking for augmented hearables and wearables. This project aims to develop augmentation technology in hearables, via solutions for source separation and tracking. Hearing is one of the five human senses. Augmented hearables or wearable devices with augmented hearing would extend and enhance hearing. New hearables could enable clear and natural hearing aids, suppress a partner’s snores, alert the wearer to the sounds of pending danger, and even perform automatic in-ear lan ....Signal separation and tracking for augmented hearables and wearables. This project aims to develop augmentation technology in hearables, via solutions for source separation and tracking. Hearing is one of the five human senses. Augmented hearables or wearable devices with augmented hearing would extend and enhance hearing. New hearables could enable clear and natural hearing aids, suppress a partner’s snores, alert the wearer to the sounds of pending danger, and even perform automatic in-ear language translation.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE220101527
Funder
Australian Research Council
Funding Amount
$420,000.00
Summary
Real-time control with safety guarantees: theory and applications . Modern network control systems, such as transport systems with self-driving cars, are becoming bigger, more complex and human-involved. The systems are usually equipped with intelligent devices, such as numerous sensing, fast processors and communication components. To adapt to this change and to benefit from these new intelligent devices, efficient algorithms for control and management need to be developed. This project aims to ....Real-time control with safety guarantees: theory and applications . Modern network control systems, such as transport systems with self-driving cars, are becoming bigger, more complex and human-involved. The systems are usually equipped with intelligent devices, such as numerous sensing, fast processors and communication components. To adapt to this change and to benefit from these new intelligent devices, efficient algorithms for control and management need to be developed. This project aims to develop novel optimisation-based control techniques, as well as efficient optimisation algorithms, for future control systems with an emphasis on distributed implementations, taking safety and real-time constraints such as limited computation and communication resources into consideration. Read moreRead less