Stability for Discrete Event Max-Min-Plus (MMP) and Max-Min-Plus-Scaling (MMPS) Systems: Max-Plus Lyapunov Functions for Stability Analysis and Control

This research presents a framework for analysing the stability and control of discrete-event systems, specifically emphasising max-min-plus (MMP) and max-min-min-plus-scaling (MMPS) systems. These systems are valuable modelling tools for various applications, including production systems and urban railway traffic management, respectively....

Scheduling of Periodic Event-Triggered Control to balance Control Performance and Average Inter-Sample Times

Traditionally, Event-Triggered Control (ETC) methods are sample-and-hold control schemes that implement a triggering condition in order to reduce the number of control updates. Given a decay rate of the Lyapunov function, they focus on minimizing the (average) Inter-Sample Time (IST). In this thesis, we focused on the scheduling of Periodic...

Revolutionizing MTDC Networks: Unlocking the Power of FPGA-based MMCs with Grid Forming Control on RSCAD through Model Predictive Control

Integrating renewable offshore wind generation into global power grids is a critical issue in the energy industry. Modular Multilevel Converter (MMC)-based High Voltage Direct Current (HVDC) grids are the most effective and promising technical solution for the new offshore wind energy power system connections. These grids offer scalability,...

Max-plus-algebraic hybrid automata: Beyond synchronisation and linearity

Man-made systems, such as manufacturing and transportation networks, and their interactions with the environment are driven by human-designed operational rules. These rules are most often based on the asynchronous occurrence of discrete events over time, such as the arrival and departure of trains at a station. The modelling, analysis, and...

Deep reinforcement learning control approach to mitigating actuator attacks

This paper investigates the deep reinforcement learning based secure control problem for cyber–physical systems (CPS) under false data injection attacks. We describe the CPS under attacks as a Markov decision process (MDP), based on which the secure controller design for CPS under attacks is formulated as an action policy learning using data....

Robust Adaptive Back-Stepping Control Approach Using Quadratic Lyapunov Functions for MMC-Based HVDC Digital Twins

Due to its excellent performance, VSC-based high voltage direct current (HVDC) power systems draw significant attention. They are being heavily used in modern industrial applications, such as onshore and offshore wind farms, and for interconnection between asynchronous networks. However, the traditional proportional-integral (PI) control...

Lyapunov Stable Path Planning and Control for Autonomous Vehicles

In modern society cars are one of the most important means of transportation. Unfortunately, many people die in car accidents around the world. Research shows that the number of fatal casualties in car accidents has been increasing for the past decade and that the largest cause of these accidents is the human driver. For this reason, research on...

Controlled synchronization of mechanical systems with a unilateral constraint

This paper addresses the controlled synchronization problem of mechanical systems subjected to a geometric unilateral constraint as well as the design of a switching coupling law to obtain synchronization. To define the synchronization problem, we propose a distance function induced by the quotient metric, which is based on an equivalence...

Laser-Based Control of Rotary-Wing UAVs

Unmanned Aerial Vehicles (UAVs) present a high technological development rate nowadays. These vehicles can be used to perform dangerous and costly inspection procedures in structures with difficult access instead of human operators, but they still need a close monitoring. This thesis addresses the problem of using exclusively sensors on board...

Stability of Cascaded Fuzzy Systems and Observers

A large class of nonlinear systems can be well approximated by Takagi-Sugeno (TS) fuzzy models with linear or affine consequents. It is well known that the stability of these consequent models does not ensure the stability of the overall fuzzy system. Therefore, several stability conditions have been developed for TS fuzzy systems. We study a...

Model predictive control for Max-Plus-Linear and piecewise affine systems

This Ph.D. thesis considers the development of new analysis and control techniques for special classes of hybrid systems and discrete event systems. Two particular classes of hybrid systems (piecewise affine systems and max-min-plus-scaling systems), and two particular classes of discrete event systems (max-plus-linear systems and switching max...