Stability analysis of non-linear sampled data systems with time varying sample period and delay in the feedback loop
Ronald van Nooyen (TU Delft - Water Resources)
A.G. Kolechkina (TU Delft - Team Bart De Schutter)
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Abstract
In almost all practical applications of control, technological and economical consid -erations impose limits on communication speed, frequency of communication, and frequency of actuator adjustment. Such limits turned the analysis of sampled data systems into a flourishing field. Water systems pose a particular challenge: the systems are networks of canals and reservoirs spread over large areas, and the actuators are relatively large and exposed to the elements. In this study, a theorem on the local exponential stability of sampled data systems with variable control time step and variable delay in the communication between the non-linear continuous time process and the non-linear discrete time controller is presented. To illustrate the application of the theorem, it is applied to a simple water system.
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