Solutions of continuous-time preview two-player differential games

The continuous-time two-player preview game problems are studied in this pa per. A preview game problem is formulated when the input signals generated by one of the two players are delayed (e.g., by actuator dynamics), and are previewed by the other player. In accordance with the control terminology, these two players are referred to as the control player and the disturbanc e player, respectively. Both control-advantaged and disturbance-advantaged game solutions are presented. When the solution of an infinite horizon prob lem exists, the response of the closed-loop system can be analyzed in the f requency domain. A vehicle handling problem is used as an example for the a nalysis. It is shown that the preview action of the advantaged player effec tively reduces the authority of the disadvantaged player, and results in si gnificantly improved performance compared with feedback-only game algorithm s.