On a class of switched, robustly stable, adaptive systems

A class of switched algorithms for adaptive control of SISO linear systems is described. The systems considered are assumed to belong to one among a finite number of classes of admissible process models, and each class is robustly stabilizable by some linear time-invariant controller. The control used is chosen in real time by a tuner or supervisor, according to observations of suitably defined “identification errors.” The method preserves the robustness properties of the linear control design in an adaptive context. One motivating application is fault-tolerant control