Adaptive control of time‐varying plants: Simple examples

The design and properties of an adaptive model reference scheme and an adaptive pole placement control scheme for linear time‐varying plants are demonstrated via two simple examples. The two new schemes combine new control laws that are appropriate for time‐varying plants with estimators that can utilize any available a prior; information on the structure of the parameter variations and are applicable to plants which are not necessarily slowly time‐varying. As illustrated by simulations, the new adaptive controllers exhibit good performance even in cases of fast plant parameter variations.