A Modified Minimum Energy Regulator Problem and Feedback Stabilization of a Linear System.

摘要

This paper considers a feedback control law for linear time-varying and time invariant systems based on a modified minimum energy problem with fixed terminal constraints. The modified control laws are shown to be optimal for a certain cost function, asmyptotically stable, and to result in a new method for stabilizing linear time-varying systems as well as extending some well known methods for stabilizing time invariant systems. In particular, the stabilizing gains of the feedback control laws are obtained from the solution of a Riccati equation over an arbitrary finite time interval, which is relatively easy to compute. (Author)