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A study on backstepping boundary control for two classes of linear port-Hamiltonian systems

Meer, E.M van der (2020) A study on backstepping boundary control for two classes of linear port-Hamiltonian systems.

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Abstract:For two classes of linear port-Hamiltonian systems with constant parameters backstepping boundary control is investigated. An exponentially stable port-Hamiltonian system with homogeneous boundary conditions is for both classes the target system and the goal is to use linear multiplicative coordinate transformations. For the first class a coordinate transformation based on a multiplicative operator suffices and the condition for its existence is algebraic. Using this a boundary controller is constructed. For the second class it shown that a multiplication mapping does not suffice.
Item Type:Essay (Bachelor)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics
Programme:Applied Mathematics BSc (56965)
Link to this item:https://purl.utwente.nl/essays/80514
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