Abstract: A method and system of compensating wave reflections in transmission lines is provided. The system includes a compensator that transforms a transmission line (which connects an actuator and a motor) into a delay transfer to remove wave reflections, by exploiting a scattering variables representation of the transmission line. The compensator can be a filter with delays that transforms the transmission line into a delay transfer through appropriate linear combinations of delayed or un-delayed voltages and currents. The filter may admit a discrete-time finite-dimensional realization that preserves the wave reflection removal properties for signals. A back-to-back rectifier-inverter or hybrid filter implementation may realize the filter.

Abstract: A control system for output synchronization of a networked communication system comprises a plurality of agents governed by control affine passive dynamics, each of the plurality of agents being coupled to the networked communication system which facilitates data exchange between the plurality of agents with induced delays, and a plurality of controller blocks, each one associated with one of the plurality of agents. Each of the plurality of the controller blocks uses output signals received from the associated agent and from a subset of the plurality of agents to derive a synchronizing control for the associated agent, so that the output signals of the plurality of agents converge asymptotically with time and so that the plurality of agents are synchronized to each other.