DATA-BASED ***l1 OPTIMAL ROBUST SYNTHESIS FOR THE FIRST ORDER PLANT

The problem under consideration is the l1 optimal steady-state tracking a bounded reference signal for the first order discrete-time plant. Parameters of the plant and upper bounds for perturbations and exogenous disturbance are assumed to be unknown to controller designer. It is shown that associated nonconvex problem of optimal identification is computationally tractable and can be used for data-based optimal steady-state tracking.