Adaptive suboptimal stabilization of discrete-time minimum-phase plant under output uncertainty

He problem of optimal stabilization of discrete- time minimum-phase plant with unknown parameters and unknown bounds on external disturbance and output uncertainty is considered. Minimization of the worst-case output in steady-state is based on treating the control criterion as the identification criterion and optimal set-membership estimation in closed-loop. Optimal estimation is reduced to lin- ear programs due to the fact that the control criterion is linear-fractional in the upper bounds on the external disturbance and the uncertainty. Simulations of adaptive suboptimal control are presented for set-membership estimation algorithms of different memory.