Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control?
Abstract
We are introducing a model-free control and a control with a restricted model for finite-dimensional complex systems. This control design may be viewed as a contribution to "intelligent'' PID controllers, the tuning of which becomes quite straightforward, even with highly nonlinear and/or time-varying systems. Our main tool is a newly developed numerical differentiation. Differential algebra provides the theoretical framework. Our approach is validated by several numerical experiments.
Keywords
differential algebra
linear systems
nonlinear systems
model-free control
control with a restricted model
predictive control
delay systems
PID
intelligent PID controllers
universal control
robustness
diagnosis
large-scale systems
anti-windup
numerical differentiators
frictions
non-minimum phase systems
differential algebra.
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