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Control of Stochastic Hybrid Systems based on Probabilistic Reachable Set Computation
This thesis proposes an algorithmic controller synthesis based on the computation of probabilistic reachable sets for stochastic hybrid systems. Hybrid systems consist in general of a composition of discrete and continuous valued dynamics, and are able to capture a wide range of physical phenomena. The stochasticity is considered in form of normally distributed initial continuous states and normally distributed disturbances, resulting in stochastic hybrid systems. The reachable sets describe all states, which are reachable by a system for a given initialization of the system state, inputs, disturbances, and time horizon. For stochastic hybrid systems, these sets are probabilistic, since the ...
Accelerating MATLAB Performance
The MATLAB® programming environment is often perceived as a platform suitable for prototyping and modeling but not for "serious" applications. One of the main complaints is that MATLAB is just too slow. Accelerating MATLAB Performance aims to correct this perception by describing multiple ways to greatly improve MATLAB program speed. Packed with thousands of helpful tips, it leaves no stone unturned, discussing every aspect of MATLAB. Ideal for novices and professionals alike, the book describes MATLAB performance in a scale and depth never before published. It takes a comprehensive approach to MATLAB performance, illustrating numerous ways to attain the desired speedup. The book covers MAT...
Robust Model Predictive Control for Large-Scale Manufacturing Systems subject to Uncertainties
Large scale manufacturing systems are often run with constant process parameters although continuous and abrupt disturbances influence the process. To reduce quality variations and scrap, a closed-loop control of the process variables becomes indispensable. In this thesis, a modeling and control framework for multistage manufacturing systems is developed, in which the systems are subject to abrupt faults, such as component defects, and continuous disturbances. In this context, three main topics are considered: the development of a modeling framework, the design of robust distributed controllers, and the application of both to the models of a real hot stamping line. The focus of all topics is on the control of the product properties considering the available knowledge of faults and disturbances.
Zum Verbund von Stahlbeton und Stahlfaserbeton bei Beachtung des Arbeitsprinzips
Das Verbundverhalten zwischen Beton und Betonstahl hat einen maßgebenden Einfluss auf das Tragverhaltens von Stahlbeton. Ein grundlegender Schritt hierzu gelang seinerzeit mit der Formulierung der Differentialgleichung des verschieblichen Verbundes (DGL). Diese erfordert eine Beziehung zwischen der ertragbaren lokalen Verbundspannung bei stattfindender Relativbewegung (Schlupf) zwischen Stahl und Beton. Diese Beziehung ist von geometrischen und materialbehafteten Faktoren abhängig. Somit werden zunächst grundlegende Zusammenhänge zu Stahl und Beton sowie dem Verbundverhalten zwischen beiden zusammengetragen und die Einflüsse einzelner Parameter dargestellt. Zur Auflösung der DGL werden...
