Issues in Achievement of Haptic Realism

This paper deals with haptic realism related to Kinematic capabilities of the devices used in manipulation of virtual objects in virtual assembly environments and its effect on achieving haptic realism. Haptic realism implies realistic touch sensation. In virtual world all the operations are to be performed in the same way and with same level of accuracy as in the real world .In order to achieve realism there should be a complete mapping of real and virtual world dimensions. Experiments are conducted to know the kinematic capabilities of the device by comparing the dimensions of the object in the real and virtual world. Registered dimensions in the virtual world are found to be approximately 1.5 times that of the real world. Dimensional variations observed were discrepancy due to exoskeleton and discrepancy due to real and virtual hands. Experiments are conducted to know the discrepancy due to exoskeleton and this discrepancy can be taken care of by either at the hardware or software level. A Mathematical model is proposed to know the discrepancy between real and virtual hands. This could not give a fixed value and can not be taken care of by calibration. Experiments are conducted to figure out how much compensation can be given to achieve haptic realism.

A mean-reverting stochastic model for the political business cycle

In this article, we look at the political business cycle problem through the lens of uncertainty. The feedback control used by us is the famous NKPC with stochasticity and wage rigidities. We extend the New Keynesian Phillips Curve model to the continuous time stochastic set up with an Ornstein-Uhlenbeck process. We minimize relevant expected quadratic cost by solving the corresponding Hamilton-Jacobi-Bellman equation. The basic intuition of the classical model is qualitatively carried forward in our set up but uncertainty also plays an important role in determining the optimal trajectory of the voter support function. The internal variability of the system acts as a base shifter for the support function in the risk neutral case. The role of uncertainty is even more prominent in the risk averse case where all the shape parameters are directly dependent on variability. Thus, in this case variability controls both the rates of change as well as the base shift parameters. To gain more insight we have also studied the model when the coefficients are time invariant and studied numerical solutions. The close relationship between the unemployment rate and the support function for the incumbent party is highlighted. The role of uncertainty in creating sampling fluctuation in this set up, possibly towards apparently anomalous results, is also explored.