Semi-adaptive control of convexly parametrized systems with application to temperature regulation of chemical reactors

摘要

In this paper, we are interested in the problem of adaptive control of non-linearly parametrized systems. We investigate the viability of defining a stabilizing parameter update law for the case when the plant models is convex on the uncertain parameters. We show that, when the only prior knowledge is convexity, there does not exist an adaptation law-derivable from the standard separable Lyapunov function technique of Parks-applicable for all the state space. Therefore, we propose a semi-adaptive state feedback controller Where adaptation takes place only in the region of the state space where convexity can be used to reduce Parameter uncertainty.