Use of integrator in nonlinear H∞ design for disturbance rejection |
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Authors: | Steven W. Su Brian D.O. AndersonThomas S. Brinsmead |
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Affiliation: | RSISE, Australian National University, Australian ACT, 0200 Acton, Australia |
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Abstract: | 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 Hamilton-Jacobi (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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Keywords: | Nonlinear control H&infin control Disturbance rejection |
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