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Port hamiltonian formulation of a memristive switch circuit represented in bond graph

Under the Internet of Things initiative, networks are designed to incorporate both sensing as well as switching/control action. The need for control action may arise in different physical domains. Bond graphs are a useful tool which provides modeling of multiple processes that simultaneously take place in different physical domains. The current work discusses the need to develop mathematical models of the dynamics associated with non-linear sensing and actuation processes that may take place in several physical domains. As many control solutions are designed in state space, Input-State-Output Port-Hamiltonian (ISO PHS) formulations are the best tool to describe the associated dynamics of the elements in a network. Non-linear switching action can be emulated using memristive devices. This contribution, therefore, focusses on translating bond graph representations accounting for energy exchange across different ports in a network, where the transduction processes take place in a multitude of physical domains. As an example, the ISO PHS of a bond graph of a memristive element embedded in a simple switch circuit is presented. The work is of general interest to the sensors community and has applications in the design of sensor networks.