A globally stable APCS in the presence of bounded noises and disturbances

This paper presents a globally stable adaptive predictive control system (APCS) for discrete linear processes with pure time delays in the presence of bounded measurement and process noise plus unmeasured disturbances. The main contribution is the proof of stability in the context of discrete adaptive control schemes. This proof is based on the minimization of the a posteriori estimation error and the convergence of the estimated parameters.