H∞ Control for Discrete-Time Systems with Limited Communication Channel

In this paper, the H-infinity control problem is studied for discrete time systems with limited communication channel. The limited communication includes signal quantization, random data packet dropouts. The random data packet dropouts are modeled as a two-state Markov chain. For different type communication channel: TCP and UDP type channel, we design the mode-dependent jump controller and time-invariant controllerrespectively, such that the closed-loop is stochastically stable, and the prescribed H. performance index is met. In addition, we proposed a parameter-dependent controller design procedure for UDP type channel, which is much less conservative than quadratic approach by introducing an additional slack variables. Finally, an example is provided to demonstrate the effectiveness and applicability of the proposed design approach.