Convergence of Stochastic PDMM

In recent years, the large increase in connected devices and the data that are collected by these devices have caused a heightened interest in distributed processing. Many practical distributed networks are of heterogeneous nature, because different devices in the network can have different specifications. Because of this, it is highly desirable...

Optimisation of Speed Trajectories to Improve the Energy Economy of Electric Vehicles

Electric vehicles are a cleaner and more efficient means of transport. However, the sub-energy-optimal acceleration and deceleration inputs of drivers result in speed trajectories that cause superfluous expenditure of the stored electrical energy in battery. Optimising the speed trajectories to minimise the consumption of stored energy is a...

Mass-conserving diffusion-based dynamics on graphs

An emerging technique in image segmentation, semi-supervised learning and general classification problems concerns the use of phase-separating flows defined on finite graphs. This technique was pioneered in Bertozzi and Flenner (2012, Multiscale Modeling and Simulation 10(3), 1090-1118), which used the Allen-Cahn flow on a graph, and was then...

Solving convex optimization problems on FPGA using OpenCL

The application of accelerators in HPC applications has seen enormous growth in the last decade. In the field of HPC demands on throughput are steadily growing. <br/>Not all of the algorithms used have a clear HW architecture which performs the best. Our work explores the performance of different HW architectures in solving a convex optimization...

Optimum On-board Abort Guidance based on Successive Convexification for Atmospheric Re-Entry Vehicles

Space safety and hazards reduction techniques are each day becoming more important in the design and operation of space transportation vehicles. One way to mitigate risks is to use advanced guidance strategies to centralise mission planning and guidance-navigation and control. Successive convexification is a technique suitable for this purpose...

Convex Optimisation-Based Privacy-Preserving Distributed Average Consensus in Wireless Sensor Networks

In many applications of wireless sensor networks, it is important that the privacy of the nodes of the network be protected. Therefore, privacy-preserving algorithms have received quite some attention recently. In this paper, we propose a novel convex optimization-based solution to the problem of privacy-preserving distributed average consensus....

Checking Structural Stability of BDC-Decomposable Systems via Convex Optimisation

In this letter we show how the problem of assessing structural local stability of BDC-decomposable systems, left open in recent literature, can be solved via convex optimisation. First we give a simple test, based on a sufficient condition, that requires checking the strict co-positivity of a multivariate polynomial. Then we provide a...

Autonomous Guidance for Asteroid Descent using Successive Convex Optimisation: Dual Quaternion Approach

With the onset of the age of space travel, asteroid missions have been steadily gaining interest. The pristine nature of asteroids due to their preserved state since the formation of the Solar System is an opportunity to unravel many mysteries about the Solar System. Also with the ever-growing need for resources, asteroids prove to be a...

Convex Guidance, Navigation, and Control for Pin-Point Lunar Landing

Convex guidance is a developing guidance algorithm that seeks to unify the trajectory optimisation for pin-point landings. The unification would mean the elimination of the need of different optimisation techniques for different stages of the landing. Using convex optimisation, convex guidance is guaranteed to find the global-optimum of the design...

Mitigating Strategic Bidding in Transmission-constrained Electricity Markets: A Multi-level Optimisation Approach

In the last few decades, the European Union has directed most of its efforts towards the creation of an internal market, free of internal borders, where competition reigns and the invisible hand guides the market to a social optimum. The assumptions on which this ideal is based, however, do not always hold in practice, especially when it...