Stability analysis of variable sampled-data control systems with control inputs missing

In this paper, we study the stability analysis problem for variable sampled-data control systems with control inputs missing. Sufficient conditions for exponential stability are developed for a class of switching signals with average dwell time. The sampling period is not required to be a constant, and the only assumption is that the sampling intervals are less than a given upper bound. By using the input delay approach, the variable sampled-data control system with control inputs missing is transformed into switched systems with varying-time delay consisting of two subsystems. A class of switching signals with average dwell time approach is identified to guarantee the exponentially stable. The state decay estimate is explicitly given. An example of satellite yaw control system is given to show the effectiveness of the proposed result.