Performance verification for the interval cost based safe switching control: the case of TCP/AQM congestion control

摘要

The safe switching adaptive control (SSC) based on unfalsified control paradigm has emerged as an effective means of controlling plants (linear, nonlinear) with non-neglectable uncertainties. For example, SSC schemes can adaptively deal with the change in the number of connections and heterogeneous delays present in communication network connections. A theoretical stability verification for the cost-detectable hysteresis switching law with the interval cost function (introduced in [1]) is presented in this work. This algorithm was previously shown in simulation to improve the performance while saving the computational cost in long fat networks and in particular multi-layer satellite networks. Further, a complete algorithm for finding the stable region of controller gains in the candidate pool of PI controllers for a system subject to time delays is presented. Finally, we discuss the possibility of reducing the hysteresis constant to zero while preserving controller convergence via a modification of the cost function.