Livada, M. (2017). Implicit network descriptions of RLC networks and the problem of reengineering. (Unpublished Doctoral thesis, City, University of London)
Abstract
The thesis deals with aspects of Systems Reengineering specialised to the case of passive electrical networks. Reengineering is a problem different from traditional control problems and this emerges when it is realised that the systems designed in the past cannot perform according to the new performance requirements and such performance cannot be improved by traditional control activities. Reengineering implies that we intervene in early stages of system design involving subprocesses, values of physical elements, interconnection topology, selection of systems of inputs and outputs and of course retuning of control structures. This is a very challenging problem which has not been addressed before in a systematic way and needs fundamental new thinking, based on understanding of structure evolution during the stages of integrated design. A major challenge in the study of this problem is to have a system representation that allows study of evolution of system properties as well as structural invariants. For linear systems the traditional system representations, such as transfer functions, state space models and polynomial type models do not provide a suitable framework for study structure and property evolutions, since for every change we need to compute again these models and the transformations we have used do not appear in an explicit form in such models. It is for this reason, for a general system, such system representations are not suitable for study of system representations on reengineering.
It has been recognized that for the special family of systems defined by the passive electrical networks (RLC), there exists a representation introduced by the loop/ nodal analysis, expressed by the impedance/admittance integraldifferential models, which have the property of reengineering transformations of the following type:
1. Changing the values or possible nature of existing elements without changing the network topology,
2. Modifying the network topology without changing network cardinality, that is number of independent loops or nodes,
3. Augmenting or reducing the network by addition or deletion of subnetworks,
4. Combination of all the above transformations.
These kinds of transformations may be represented as perturbations on the original impedance/admittance models. The above indicates that impedance/admittance integraldifferential models, which from now on will be referred to as Implicit Network Descriptions is the natural vehicle for studying reengineering on electrical networks. Although issues related to realisation of impedance/admittance transfer functions within RLC topologies, has been the topic of classical network synthesis, the system aspects of such descriptions have not been properly considered. Addressing problems of network reengineering requires the development of the fundamental system aspects of such new descriptions in terms of McMillan degree, regularity and a number of other properties. Certain problems of evolution (of system properties) are linked to Frequency Assignment, as far as natural frequencies under reengineering and this requires use of techniques developed within control theory for Frequency Assignment Problems.
Publication Type:  Thesis (Doctoral) 

Subjects:  T Technology > TK Electrical engineering. Electronics Nuclear engineering 
Departments:  School of Mathematics, Computer Science & Engineering Doctoral Theses Doctoral Theses > School of Mathematics, Computer Science and Engineering Doctoral Theses 
URI:  http://openaccess.city.ac.uk/id/eprint/17916 

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