H-INFINITY-CONTROL OF NONLINEAR TIME-VARYING SYSTEMS WITH FINITE-TIMEHORIZON

The finite time horizon H-infinity-control problems for nonlinear time -varying systems are considered where the initial state is unknown. Th ey are solved by using both static state feedback and dynamic output f eedback controllers. A class of nonlinear H-infinity- controllers is p arameterized as nonlinear fractional transformation on contractive non linear parameters. The solvability for nonlinear finite time horizon H -infinity-control problem requires suitable solutions to some Hamilton -Jacobi inequalities (equations).