Optimal control of affine connection control systems from the point of view of Lie algebroids

The purpose of this paper is to use the framework of Lie algebroids to study optimal control problems for affine connection control systems (ACCSs) on Lie groups. In this context, the equations for critical trajectories of the problem are geometrically characterized as a Hamiltonian vector field.

On the application of optimal control techniques in lossy fieldbuses

The performance of real-time networks is under continuous improvement as a result of several trends in the digital world. However, these tendencies not only cause improvements, but also exacerbates a series of unideal aspects of real-time networks such as communication latency, jitter of the latency and packet drop rate. This Thesis focuses on the communication errors that appear on such realtime networks, from the point-of-view of automatic control. Specifically, it investigates the effects of packet drops in automatic control over fieldbuses, as well as the architectures and optimal techniques for their compensation. Firstly, a new approach to address the problems that rise in virtue of such packet drops, is proposed. This novel approach is based on the simultaneous transmission of several values in a single message. Such messages can be from sensor to controller, in which case they are comprised of several past sensor readings, or from controller to actuator in which case they are comprised of estimates of several future control values. A series of tests reveal the advantages of this approach. The above-explained approach is then expanded as to accommodate the techniques of contemporary optimal control. However, unlike the aforementioned approach, that deliberately does not send certain messages in order to make a more efficient use of network resources; in the second case, the techniques are used to reduce the effects of packet losses. After these two approaches that are based on data aggregation, it is also studied the optimal control in packet dropping fieldbuses, using generalized actuator output functions. This study ends with the development of a new optimal controller, as well as the function, among the generalized functions that dictate the actuator’s behaviour in the absence of a new control message, that leads to the optimal performance. The Thesis also presents a different line of research, related with the output oscillations that take place as a consequence of the use of classic co-design techniques of networked control. The proposed algorithm has the goal of allowing the execution of such classical co-design algorithms without causing an output oscillation that increases the value of the cost function. Such increases may, under certain circumstances, negate the advantages of the application of the classical co-design techniques. A yet another line of research, investigated algorithms, more efficient than contemporary ones, to generate task execution sequences that guarantee that at least a given number of activated jobs will be executed out of every set composed by a predetermined number of contiguous activations. This algorithm may, in the future, be applied to the generation of message transmission patterns in the above-mentioned techniques for the efficient use of network resources. The proposed task generation algorithm is better than its predecessors in the sense that it is capable of scheduling systems that cannot be scheduled by its predecessor algorithms. The Thesis also presents a mechanism that allows to perform multi-path routing in wireless sensor networks, while ensuring that no value will be counted in duplicate. Thereby, this technique improves the performance of wireless sensor networks, rendering them more suitable for control applications. As mentioned before, this Thesis is centered around techniques for the improvement of performance of distributed control systems in which several elements are connected through a fieldbus that may be subject to packet drops. The first three approaches are directly related to this topic, with the first two approaching the problem from an architectural standpoint, whereas the third one does so from more theoretical grounds. The fourth approach ensures that the approaches to this and similar problems that can be found in the literature that try to achieve goals similar to objectives of this Thesis, can do so without causing other problems that may invalidate the solutions in question. Then, the thesis presents an approach to the problem dealt with in it, which is centered in the efficient generation of the transmission patterns that are used in the aforementioned approaches.

Iluminação em ambientes fabris: otimização e análise técnica-e-económica

Esta Dissertação aborda a temática da eficiência energética em sistemas de iluminação fabris. Desde os primórdios da história da humanidade que a iluminação tem representado um papel importante. Não só garante condições de segurança, como começou por ser o intuito primordial das fogueiras pré-históricas, traduzindo-se num elemento de conforto. Atualmente seria impensável conceber as mais diversas atividades económicas e produtivas de um país sem iluminação. Nesse sentido a iluminação representa também um elemento fomentador de produtividade. Não é bem conhecido o impacto que a iluminação tem nos custos operacionais de uma unidade fabril. Principalmente por ser difícil de quantificar separadamente na fatura de eletricidade qual a percentagem correspondente à iluminação. Tipicamente estes custos podem ascender a 20% do orçamento global da autarquia em países desenvolvidos. Por esse motivo, o sector da iluminação tem investido esforço no sentido de promover melhores soluções de iluminação capazes de por um lado de satisfazer os requisitos do espaço a iluminar, e por outro propiciar soluções eficientes do ponto de vista energético. Estas soluções assentam essencialmente no uso de dispositivos mais eficientes (como por exemplo os LED´s ou as lâmpadas compactas fluorescentes) bem como em estratégias de controlo eficientes baseadas em dados sensoriais (como por exemplo deteção de movimento/presença). A combinação destas estratégias permite reduzir os consumos em cerca de 80% quando comparadas com soluções passivas. A empresa Amorim Cork Research Lda. é uma empresa prestadora de serviços ao universo das empresas da Corticeira Amorim, uma das maiores multinacionais de origem portuguesa. Teve origem no negócio da cortiça, em 1870, sendo hoje líder destacada no sector a nível mundial. Dada a dimensão da empresa e a sua subdivisão em várias Unidades Industriais com requisitos individuais, será expectável que a iluminação represente uma parte significativa da fatura de eletricidade. Atualmente, os vários setores encontram-se equipados com soluções de iluminação diferentes, na sua maioria empregando tecnologias passivas, noutros casos com dispositivos eficientes. Há algum interesse em migrar para soluções mais eficientes, em parte suportadas em DALI (com interface de comunicação PLC ou Zigbee).