Distributed Simulation of Differential Algebraic Systems Using Optimal Sliding-Mode Control

Abstract

In this paper, the optimal solution of differential algebraic equation (DAE) systems over a network of processors is investigated. A sliding-mode control (SMC) approach is used to enforce the algebraic constraints of the DAEs. Time delays associated with network communication give rise to a sliding-control problem with sensor time delays. A new approach is presented that decouples this problem into two independent problems. Using this property, a mixed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> optimization approach is applied to minimize errors. The results are applied to solve the problem of the optimal bandwidth allocation between the processors under the constraint of limited communication bandwidth. Experimental results for a distributed simulation application on a TDMA network demonstrate the validity of the approach