CHEN, W-H., 2001. Predictive control of nonlinear systems with ill-defined relative degrees: an analytic approach [published as: Analytic predictive controllers for nonlinear systems with Ill-defined relative degree]. IEE proceedings: control theory and applications, 148 (1), pp. 9-16
This paper addresses the problem of control of nonlinear systems with
ill-defined relative degrees. The solution to an optimal tracking problem
in terms of a generalised predictive performance index is presented when
the output tracking error is predicted by Taylor series approximation up
to an arbitrary chosen order. It is shown that the optimal control law for
nonlinear systems with ill-defined relative degrees leads to a switch control
scheme is resulted . It is shown that similar to conventional predictive
control, analytic model predictive control provides a natural tool to deal
with systems with ill-defined relative degrees. A novel scheme is developed
with the frame of model predictive control It is shown that the closed-loop
system is asymptotically stable.
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