Multi-tasking optimal control of networked control systems: A delta operator approach

In this paper, the multi-tasking optimal control problem is addressed in the delta-domain for a class of networked control systems (NCSs) with external disturbances. A delta-domain model is proposed to describe the NCSs with random packet dropouts and long-time delay, and the so-called ε-Nash equilibrium is employed to quantify the impacts from the disturbances on the underlying NCSs. The multi-tasking optimal control strategies are developed and the upper bound for the ε-Nash equilibrium is provided explicitly. Some simulation results on the two-area load frequency control system are given to show the validity and applicability of the proposed method.