"Automatic assembly machines have many cam-driven linkages that provide motion to tooling. Newer machines are typically designed to operate at higher speeds and may need to handle products with small and delicate features that must be assembled precisely every time. In order to design a good tooling mechanism linkage, the dynamic behavior of the components must be considered; this includes both the gross kinematic motion and self-induced vibration motion. Current simulations of cam-follower system dynamics correlate poorly to the actual dynamic behavior because they ignore two events common in these machines: impact and over-travel. A new dynamic model was developed with these events. From this model, an insight into proper design of systems with deliberate impact was developed through computer modeling. To attain more precise representations of these automatic assembly machines, a simplified industrial cam-follower system model was constructed in SolidWorks CAD software. A two-mass, single-degree-of-freedom dynamic model was created in Simulink, a dynamic modeling tool, and validated by comparing to the model results from the cam design program, DYNACAM. After the model was validated, a controlled impact and over-travel mechanism was designed, manufactured, and assembled to a simplified industrial cam-follower system, the Cam Dynamic Test Machine (CDTM). Then, a new three-mass, two-degree-of-freedom dynamic model was created. Once the model was simulated, it was found that the magnitude and the frequency of the vibration, in acceleration comparison, of the dynamic model matched with the experimental results fairly well. The two maximum underestimation errors, which occurred where the two bodies collided, were found to be 119 m/s2 or 45% and 41 m/s2 or 30%. With the exception of these two impacts, the simulated results predicted the output with reasonable accuracy. At the same time, the maximum simulated impact force overestimated the maximum experimental impact force by 2 lbf or 1.3%. By using this three-mass, two-DOF impact model, machine design engineers will be able to simulate and predict the behavior of the assembly machines prior to manufacturing. If the results found through the model are determined to be unsatisfactory, modifications to the design can be made and the simulation rerun until an acceptable design is obtained."

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This thesis studies formation control for a class of general leader-follower multi-agent systems with Control Barrier Functions (CBFs) such that connectivity maintenance is fulfilled for all the neighboring agents. In leader-follower multi-agent systems, only the leader agents are controlled by the externally designed input, while the followers are guided through their dynamic couplings with the neighboring agents. The main problem is how to keep all adjacent agents maintain within the communication distance during the formation process. In this thesis, Control Barrier Functions (CBFs) are utilized in order to maintain connectivity among the neighboring agents. This thesis firstly introduces a general first-order leader-follower multi-agent systems with proper connectivity constrains. All edges in the system are divided into three categories: follower-follower edges, leader-follower edges and leader-leader edges. Three different kinds of edges are discussed individually. For each category, the relevant topological conditions and control barrier functions are defined and proved for both tree graphs and general graphs. Several simulation examples are implemented to verify the developed results. Both theory and simulation results show that the developed results are a strong support for the formation control of leader-follower system in order to achieve connectivity maintenance. / Denna avhandling studerar formationskontroll för en klass av generella ledare-följare multi-agent-system med kontrollbarriärfunktioner (CBFs) så att anslutningsunderhållet uppfylls för alla angränsande agenter. I ledar-följare multi-agent-system är det bara ledaragenterna som styrs av den externt utformade ingången, medan följaren guidas genom sina dynamiska kopplingar med grannagenterna. Huvudproblemet är hur man kan hålla alla intilliggande agenter inom kommunikationsavståndet under bildningsprocessen. I det här examensarbetet används kontrollbarriärfunktioner (CBF) för att upprätthålla förbindelser mellan angränsande agenter. Detta examensarbete introducerar först ett allmänt första ordningens ledare-följare multi-agentsystem med korrekta anslutningsbegränsningar. Alla kanter i systemet är indelade i tre kategorier: efterföljarkanter, ledare-följarkanter och ledare-ledarkanter. Tre olika sorters kanter diskuteras individuellt. För varje kategori definieras och bevisas de relevanta topologiska förhållandena och kontrollbarriärfunktionerna för både trädgrafer och allmänna grafer. Flera simuleringsexempel implementeras för att verifiera de framtagna resultaten. Både teori- och simuleringsresultat visar att de utvecklade resultaten är ett starkt stöd för bildandet av ledare-följare-system för att uppnå anslutningsunderhåll