A diagonal dominance condition for robust decentralized variable structure control

The robust tracking control of MIMO systems by means of simple decentralized variable-structure controllers is considered. The model of the system that is assumed to be available is a linear I/O map (e.g., a transfer function matrix) affected by bounded uncertainties and subject to bounded input disturbances. A sufficient condition is derived there to exist the possibility of exact tracking by decentralized sliding-mode control. The condition can be seen as a time-domain counterpart to Rosenbrock´s diagonal dominance criterion (1974). The structure of a simple controller implementing the technique is presented along with simulation results