The problem of finite-time H∞-tracking for linear, discrete, time -varying systems is considered. No a priori knowledge of the dynamics of the reference signal is assumed. A distinction between three cases is made, depending on whether the reference signal is perfectly known in advance, measured on-line, or previewed in a fixed interval of time ahead. The tracking problem is formulated as a game, where the controller plays against nature that may choose the initial condition of the system and any energy bounded driving disturbance and measurement noise inputs. Necessary and sufficient conditions are derived for the existence of saddle-point equilibrium solutions to the three different information structures of the reference, and the corresponding tracking controllers are derived.
|Number of pages
|Proceedings of the IEEE Conference on Decision and Control
|Published - 1995
|Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA
Duration: 13 Dec 1995 → 15 Dec 1995