Use of integrator in nonlinear H infinity design for disturbance rejection

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Journal Article
Automatica, 2002, 38 (11), pp. 1951 - 1957
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The disturbance suppression problem for nonlinear systems is examined in this paper. We review the so-called nonstandard mixed sensitivity problem, which introduces an integrator to a selected weight, as well as the linear classical disturbance suppression problem and the linear H? disturbance suppression problem. We extend this H? problem to the nonlinear case, and present a method to reduce the order of the state feedback HamiltonJacobi (HJ) partial differential equation for this nonlinear H? problem by extending the concept of comprehensive stability (Proceedings of the 36th Conference on Decision and Control, 1997, p. 4653; IEEE Trans. Ind. Electron. (1998) 488). Finally, we investigate the structure of the output feedback H? controller for disturbance suppression, and draw the conclusion that, as in the linear case, there must also be an integrator in the controller.
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