Discrete-time Prescribed Performance Control and Maximum Allowable Transmission Interval

In this paper, we consider a discrete-time imple-mentation of prescribed performance control (PPC), focusing on its robustness and operability. Specifically, given a prescribed performance controller that guarantees prescribed performance attributes, in terms of maximum overshoot, minimum conver-gence rate and maximum steady-state error, when operating in continuous-time, the task is to derive sufficient conditions on the maximum allowable transmission interval to enable PPC to preserve its performance characteristics. Interestingly, the maximum allowable transmission interval is directly related with the performance achieved at steady-state. Simulations clarify and verify the theoretical findings.