Computing danger zones for provably safe closely spaced parallel approaches: Theory and experiment

In poor visibility, paired approaches to airports with closely spaced parallel runways are not permitted, thus halving the arrival rate. With Global Positioning System technology, datalinks and cockpit displays, this could be averted. One important problem is ensuring safety during a blundered approach by one aircraft. This is on-going research. A danger zone around the blunderer is required. If the correct danger zone could be calculated, then it would be possible to get 100% of clear-day capacity in poor-visibility days even on 750 foot runways. The danger zones vary significantly (during an approach) and calculating them in real time would be very significant. Approximations (e.g. outer bounds) are not good enough. This thesis presents a way to calculate these danger zones in real time for a very broad class of blunder trajectories.; The approach in this thesis differs from others in that it guarantees safety for any possible blunder trajectory as long as the speeds and turn rates of the blunder are within certain bounds. In addition, the approach considers all emergency evasive maneuvers whose speeds and turn rates are within certain bounds about a nominal emergency evasive maneuver. For all combinations of these blunder and evasive maneuver trajectories, it guarantees that the evasive maneuver is safe. For more than 1 million simulation runs, the algorithm shows a 100% rate of Successful Alerts and a 0% rate of Collisions Given an Alert.; As an experimental testbed, two 10-ft wingspan fully autonomous unmanned aerial vehicles and a ground station are developed together with J. S. Jang. The development includes the design and flight testing of automatic controllers. The testbed is used to demonstrate the algorithm implementation through an autonomous closely spaced parallel approach, with one aircraft programmed to blunder. The other aircraft responds according to the result of the algorithm on board it and evades autonomously when required. This experimental demonstration is successfully conducted, showing the implementation of the algorithm, in particular, demonstrating that it can run in real time.; Finally; with the necessary sensors and datalink, and the appropriate procedures in place, the algorithm developed in this thesis will enable 100% of clear-day capacity in poor-visibility days even on 750 foot runways.