Adaptive feedback control for unevenly sampled systems

Abstract

This paper presents an adaptive control algorithm for a new type of discrete-time system that is unknown and is sampled unevenly. Such systems are obtained by unevenly sampling the unknown continuous time plant with two sequential sampling periods (T₁ and T₂), and are therefore referred to as unknown S(T₁, T₂) systems. This paper discusses their representation and stability when that system incorporates a known time delay. A generalized causal adaptive one-step-ahead controller is developed and it is shown to be able to stabilize the unknown S(T₁, T₂) system with respect to a uniformly bounded signal. The application to a typical S(T₁, T₂) system: the cross-directional basis weight control system in a paper making process, is described. Desirable results are obtained.