ROBUST CONTROL IN GAME PROBLEMS WITH LINEAR DYNAMICS

Antagonistic linear differential games of two persons with fixed terminal instant are considered. The objective of the first player is to lead the system to a prescribed terminal set or closely to it at the fixed terminal time. The second player (the disturbance) hinders this. The first player’s control is scalar and bounded. The peculiarity of the formulation is that there is no any prescribed constraint for the second player’s control. The work studies a method for constructing a first player’s feedback control, which should work acceptably for wide-range disturbances and to parry a disturbance of a “low” level by a “low ” level realization. Such a control is called robust in this work. A method for constructing a robust control is suggested and justified. For the case of the phase variable of low dimension, a numerical algorithm and a corresponding computer programs has been worked out. Two model examples are numerically investigated, one of them is a problem of aircraft landing control under wind disturbance. The work can be interesting fo