The role of invariant manifold in nonlinear control theory is reviewed. First, stable, center-stable and center manifold algorithms to compute flows on these manifolds are presented. Next, application results of the computational methods are illustrated for optimal stabilization, optimal output regulation and periodic orbit design problems.
CITATION STYLE
Sakamoto, N. (2015). Nonlinear controller design based on invariant manifold theory. In Lecture Notes in Control and Information Sciences (Vol. 461, pp. 221–235). Springer Verlag. https://doi.org/10.1007/978-3-319-20988-3_12
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