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Optimal Force Control of VibroImpact Systems for Autonomous Drilling Applications
 Created: Saturday, 01 September 2012
A method is investigated how to maximize energy transfer to tools used in drilling, and can be applied to regular power tools.
The need to maintain optimal energy efficiency is critical during the drilling operations performed on future and current planetary rover missions (see figure). Specifically, this innovation seeks to solve the following problem. Given a springloaded percussive drill driven by a voicecoil motor, one needs to determine the optimal input voltage waveform (periodic function) and the optimal hammering period that minimizes the dissipated energy, while ensuring that the hammertorock impacts are made with sufficient (userdefined) impact velocity (or impact energy).
Planetary Rover equipped with a rotary percussive drill." class="caption" align="right">To solve this problem, it was first observed that when voicecoilactuated percussive drills are driven at high power, it is of paramount importance to ensure that the electrical current of the device remains in phase with the velocity of the hammer. Otherwise, negative work is performed and the drill experiences a loss of performance (i.e., reduced impact energy) and an increase in Joule heating (i.e., reduction in energy efficiency). This observation has motivated many drilling products to incorporate the standard bangbang control approach for driving their percussive drills. However, the bangbang control approach is significantly less efficient than the optimal energyefficient control approach solved herein.
To obtain this solution, the standard tools of classical optimal control theory were applied. It is worth noting that these tools inherently require the solution of a twopoint boundary value problem (TPBVP), i.e., a system of differential equations where half the equations have unknown boundary conditions. Typically, the TPBVP is impossible to solve analytically for highdimensional dynamic systems. However, for the case of the springloaded vibroimpactor, this approach yields the exact optimal control solution as the sum of four analytic functions whose coefficients are determined using a simple, easytoimplement algorithm. Once the optimal control waveform is determined, it can be used optimally in the context of both openloop and closedloop control modes (using standard realtime control hardware).
Future NASA in situ exploration missions increasingly require extensive drilling and coring procedures that stress the demand for more energy efficient methods to accomplish these tasks. For example, when roverbased autonomous drills are controlled nonoptimally for long periods of time, the energy loss can grow at a rate that cannot be sustained by the rover’s internal energy supply. Motorized percussive units can be especially energydraining (when controlled nonoptimally), making this technology especially relevant to this type of future NASA work.
This work was done by Jack B. Aldrich and Avi B. Okon of Caltech for NASA’s Jet Propulsion Laboratory. NPO48467
This Brief includes a Technical Support Package (TSP).
Optimal Force Control of VibroImpact Systems for Autonomous Drilling Applications (reference NPO48467) is currently available for download from the TSP library.
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