Simulation of switched linear differential systems
Başlık çevirisi mevcut değil.
- Tez No: 402435
- Danışmanlar: DR. PAOLO RAPISARDA, PROF. ERIC ROGERS
- Tez Türü: Yüksek Lisans
- Konular: Fizik ve Fizik Mühendisliği, Physics and Physics Engineering
- Anahtar Kelimeler: Belirtilmemiş.
- Yıl: 2015
- Dil: İngilizce
- Üniversite: University of Southampton
- Enstitü: Yurtdışı Enstitü
- Ana Bilim Dalı: Fizik Mühendisliği Ana Bilim Dalı
- Bilim Dalı: Belirtilmemiş.
- Sayfa Sayısı: 65
Özet
Özet yok.
Özet (Çeviri)
This project is based on a simulation of switched systems that consists of subsystems. The main aim of this project is to obtain trajectories, which illustrate the behaviors of switched systems whilst also considering the switching instants in a predefined range of time. In order to achieve this aim, a new state-space-oriented tool was implemented in MATLAB based on this project's concept. According to this concept, the subsystems of a switched system were represented by transfer functions which were, in turn, converted to state-space representations. After transforming the transfer functions, they were checked for their well-definedness and well-posedness. This control process of gluing conditions which was carried out at each transition among the subsystems is the key part of this project since well-definedness and wellposedness identify the existence and uniqueness of the state trajectories which occurred after each switching instant, respectively. Having guaranteed that the gluing conditions were well-defined and well-posed, the gluing conditions were translated into state reset maps. Using these maps, the initial conditions of each state were determined after the switching times were discovered. Afterwards, the state and output values of the subsystems (see Implementation Parts 5.1 or 5.2) were calculated via the lsim command. The obtained results are represented in Tables 5.1-5.6 for the first example and were shown in 5.7-5.15 for the latter one. Finally, the outputs of these implementation examples were illustrated in Figs 5.1 and 5.2, respectively. The largest difference between this study and previous ones is that the subsystems of a switched system in this project do not have to share a common state-space. Since the subsystems have different state spaces in different orders in most real-life applications regarding switched systems, this project might be a crucial step in simulating that type of system with further progress. Index Terms: Gluing conditions, simulation, stability, state reset maps, switched systems, well-definedness, well-posedness.
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