A Class of Modified Decentralized Adaptive Robust Controllers for Large Scale Interconnected Dynamical Systems with Uncertainties

Abstract

The problem of the decentralized robust control for a class of large scale interconnected systems with uncertainties is considered. Here, the bounds of uncertainties and interconnections are assumed to be some unknown constants. For such a class of uncertain systems, we propose a class of decentralized adaptive robust controllers which can guarantee that the solution of the large scale dynamical system decreases asymptotically to zero. The proposed decentralized controller needs not the parameters in terms of interconnections, that is, the decentralized controller which is completely isolated is constructed. Furthermore, the adaptive laws are modified by introducing the decreasing function so that we can avoid the high gain controller. Finally, an illustrative example is given to demonstrate the validity of our results.