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Dynamic gain control with a matrix inequality approach to uncertain systems with triangular and non-triangular nonlinearities

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  • Min-Sung Koo
  • Ho-Lim Choi

Abstract

We consider the global regulation problem of uncertain systems with both triangular and non-triangular nonlinearities. For the global regulation in the presence of non-triangular nonlinearities, we propose a dynamic gain controller designed by using power order conditions and a matrix inequality condition imposed on non-triangular nonlinearities. Compared with the existing results, the proposed control method allows a class of nonlinear systems that have not been treated before. Analysis and examples are given to prove the general applicability of our control method.

Suggested Citation

  • Min-Sung Koo & Ho-Lim Choi, 2016. "Dynamic gain control with a matrix inequality approach to uncertain systems with triangular and non-triangular nonlinearities," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1453-1464, April.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1453-1464
    DOI: 10.1080/00207721.2014.934749
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