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Nonlinear H control: a J-dissipative approach

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2 Author(s)
L. Pavel ; Dept. of Electr. & Comput. Eng., Queen's Univ., Kingston, Ont., Canada ; F. W. Fairman

This paper applies the chain-scattering approach for linear H control to input affine nonlinear plants with general output structure. The nonlinear H-control problem is reformulated in terms of the chain representation of a given plant. The state-space characterization of J-dissipative (J-lossless) systems together with two special types of coprime factorizations are used to provide a class of controllers which solve locally the H-control problem. The problems considered correspond to the general two- and four-block problems in the linear case. The results are given in terms of two uncoupled nonlinear partial differential inequalities with a coupling condition on their solutions

Published in:

IEEE Transactions on Automatic Control  (Volume:42 ,  Issue: 12 )