Optimal control during feedback failure

摘要

The problem of controlling a perturbed open loop system so as to keep its performance errors within bounds isconsidered. The objective is to maximise the time during which performance errors remain below a prescribedceiling, while the controlled system's parameters are within a specified neighbourhood of their nominal values.It is shown that there is an optimal open loop controller that achieves this objective. Conditions under whichthe optimal controller generates a bang-bang control input signal are characterised. In general, it is shown thatthe performance of the optimal controller can always be approximated by a bang-bang signal.