Robust Time-Optimal Control: A Frequency Domain Approach

Authors

Singh, T., & Vadali, S. R.

Source

Journal of Guidance, Control and Dynamics, 17(2), 346-353, 1994.

Abstract

The design of nonrobust and robust time-optimal controllers for linear systems in the frequency domain is presented. The bang-bang profile is represented as the superposition of time-delayed step inputs or the output of a time-delay filter subject to a step input. A parameter optimization problem is formulated to minimize the final time of the maneuver with the constraint that the time-delay filter cancels all of the poles of the system. The issue of robustness to errors in the model is addressed by placing multiple zeros of the time-delay filter at the estimated locations of the poles of the system. The design technique is illustrated on representative models of large space structures, for rest-to-rest, time-optimal, and robust time-optimal maneuvers. Spin-up maneuvers are shown to be special cases of the general formulation.

@article{Singh94_JGCD,
   Author = {T. Singh and S. R. Vadali},
   Journal = {Journal of Guidance, Control and Dynamics},
   Month = {Mar.},
   Pages = {346-353},
   Title = {Robust Time-Optimal Control: A Frequency Domain Approach},
   Volume = {17},
   Number = {2},
   Year = {1994}
}