The goal of control theory is to make a given dynamical system (the “plant”)
behave in a user-specified manner as accurately as possible. This objective
may be broken down into three separate tasks: stabilization of the plant
dynamics; control of the plant dynamics; and control of plant disturbance.
Conventionally, one uses feedback to treat all three problems simultaneously.
Compromises are necessary to achieve good solutions.
Adaptive inverse control is a method to treat the three control tasks
separately. First, the plant is stabilized; secondly, the plant is controlled
using a feedforward controller; thirdly, a disturbance canceller is used to
reject plant disturbances. Adaptive filters are used as controller and
disturbance canceller, and algorithms adapt the transfer functions of the
filter to achieve excellent control.
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