Abstract: A method and system of maintaining electrical power to one or more designated loads connected to an electrical bus that is selectively connected to an electric power grid as a first source of power and to an inverter for providing power to the bus from a second source of electrical power. A controller receives an input indicating if the bus is connected to the grid. The inverter is operated to be synchronized with the grid and provide a selected amount of active and reactive electrical power from the second source of electrical power while the one or more designated loads receive electrical power from the grid. Connection of the bus to the grid is monitored and at the time the electrical bus is no longer receiving power from the grid, the inverter is operated to provide required power without interruption to the one or more designated loads of the bus.

Abstract: Methods, systems, and apparatus, including computer programs encoded on a computer storage medium, for shaping grid currents output from parallel inverters in a power distribution system with virtual impedances. In one aspect, a method includes receiving a measurement of the current output from the inverter, processing the measurement of the current to extract a first current component having a particular frequency, obtaining a second current component based on the measurement of the current and the extracted first current component, weighing the first and second current components with respective first and second impedances to obtain respective first and second component voltages, the first impedance having a lower impedance amplitude than the second impedance, obtaining a shaped voltage based on the first and second component voltages, and outputting a control signal to the inverter, the control signal causing the inverter to output the shaped voltage to the power distribution bus.

Abstract: An observer based Q control method for a cantilever in an atomic force microscopy is provided that provides for a “dual” Q behavior such that a particular effective Q is achieved when a sample is present and another effective Q when a sample is absent. In the control method, the transfer function from dither input to photo-diode output is independent of the observer so that the cantilever effectively behaves like a spring-mass-damper system. The effective quality factor and stiffness of the cantilever can be changed by appropriately choosing the state feedback gain. The method provides sample-imaging using transient atomic force microscopy.

Abstract: An approach to determine cantilever movement is presented. An observer based state estimation and statistical signal detection and estimation techniques are applied to Atomic Force Microscopes. A first mode approximation model of the cantilever is considered and an observer is designed to estimate the dynamic states. The cantilever-sample interaction is modeled as an impulsive force applied to the cantilever in order to detect the presence of sample. A generalized likelihood ratio test is performed to obtain the decision rule and the maximum likelihood estimation of the unknown arrival time of the sample profile and unknown magnitude of it. The use of the transient data results in sample detection at least ten times faster than using the steady state characteristics.

Abstract: An approach to detect when a cantilever loses interaction with a sample, thereby detecting when a portion of an image obtained using a cantilever is spurious is presented. An observer based estimation of cantilever deflection is compared to the cantilever deflection and the resulting innovation is used to detect when the cantilever loses interaction. The loss of interaction is determined when the innovation is outside of and/or below a threshold level.

Abstract: An approach to determine cantilever movement is presented. An observer based state estimation and statistical signal detection and estimation techniques are applied to Atomic Force Microscopes. A first mode approximation model of the cantilever is considered and a Kalman filter is designed to estimate the dynamic states. The tip-sample interaction is modeled as an impulsive force applied to the cantilever in order to detect the presence of sample. A generalized likelihood ratio test is performed to obtain the decision rule and the maximum likelihood estimation of the unknown arrival time of the sample profile and unknown magnitude of it. The use of the transient data results in sample detection at least ten times faster than using the steady state characteristics.