Passive Adaptive Control Strategies in Discrete Time Linear Control Systems

Abstract

In this paper, a passive adaptive control problem is considered from the Bayesian approach. It is shown that the problem can be understood as one of the special cases of a multi-stage decision problem with a non-classical information structure. A suboptimal passive adaptive control problem is formulated, and an algorithm which produces the passive adaptive control strategy is obtained, for the discrete time linear system with some unknown but constant parameters. A numerical example is presented.