Adaptive internal model control: H infinity optimization for stable plants Academic Article

abstract

• This paper considers the design of a robust adaptive Hoptimal controller based on the IMC structure. Specific attention is focused on the practically important class of stable plants with one open right half-plane zero. The certainty equivalence principle of adaptive control is used to combine a robust adaptive law with a robust Hinternal model controller to obtain an adaptive Hinternal model control scheme with provable guarantees of stability and robustness. The approach used earlier for designing and analyzing adaptive H2optimal control schemes is seen to carry over in a natural fashion to the adaptive Hoptimal control case. This attests to the generality of that approach, which not only provides a theoretical basis for analytically justifying some of the reported industrial successes of existing adaptive internal model control schemes, but also opens up the possibility of synthesizing new ones by simply combining a robust adaptive law with a robust internal model controller structure.

authors

• Datta, Aniruddha

published proceedings

• IEEE TRANSACTIONS ON AUTOMATIC CONTROL

author list (cited authors)

• Datta, A., & Xing, L.

citation count

• 13

complete list of authors

• Datta, A||Xing, L

publication date

• January 1999

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Automatic Control  Journal

keywords

• H Infinity Optimal Design
• Internal Model Control
• On-line Adaptation
• Optimal Design
• Robustness To Modeling Errors

Digital Object Identifier (DOI)

• 10.1109/9.802930

start page

• 2130

end page

• 2134

volume

• 44

issue

• 11