Decentralized Adaptive Sliding Mode Control of Large Scale Systems with Mismatched Uncertainties and Interconnections

Abstract

The decentralized robust control problem is considered for a class of large scale interconnected dynamical systems with both matched and mismatched perturbations and interconnections. It is assumed that the bounds of perturbations and the strength of interconnections are unknown. For such an uncertain large scale system, a class of decentralized robust sliding mode controllers is proposed by designing the sliding surface in consideration of the influence of mismatched uncertainties. The proposed decentralized sliding mode controller can guarantee that the solution of a large scale system converges asymptotically to zero. Finally, a numerical example is given to demonstrate the validity of the results.