Time-Optimal Control of a Bounded Phase-Coordinate Process II: High-Order Systems with Multiple Control Inputs

This paper considers the problem arising from the design of an autopilot for a large booster. The motion-controlling actuators of the booster have both position and rate limits. The problem is formulated as a bounded phase-coordinate problem and analyzed by the ``backing out of the target' procedure. A method of constructing the optimal control is presented. An example of an oscillatory system with two control inputs is given, and the optimal control is expressed as an explicit time function.     

On mapping a tracking algorithm onto parallel processors

The problem of mapping the tasks of a multitarget tracking algorithm onto parallel computing architectures to maximize speedup is considered. An asymptotically optimal mapping algorithm is developed and applied to study the effects of task granularity and processor architectures on the speedup. From the simulation results, it is concluded that task granularity and the parallelization of clustering and global hypotheses formation stages of the tracking algorithm are major determinants of speedup     

Minimum Trajectory Sensitivity of a Large Launch Booster Control System

An optimal closed-loop control scheme is developed for a linear timevarying system. The system has two independent parameters which may deviate from their nominal values. The problem is motivated by the possible failure of the control system of the large launch booster after takeoff. The computational scheme involves an iterative algorithm and requires the solution to a matrix Riccati equation. An example is given as an illustration.