Abstract
In this paper, we present design methods for finite-dimensional adaptive controllers of general distributed-parameter systems using the theory of variable structure systems (VSS). First, we state a new basic design method. Secondly, we propose two kinds of design methods in order to improve convergence characteristics, i.e. to perfectly achieve model following in an arbitrary finite time. Furthermore, we show that control systems with these proposed design methods can completely reject any bounded input and output disturbances in an arbitrary finite time. Main characteristics of the others are the globally uniform boundedness of the sliding mode and the construction of two (or one) dimensional adaptive controller. Finally, we make sure of the effectiveness of our proposed methods using a simple example.
