Robust H∞ control for linear discrete-time systems with norm-bounded nonlinear uncertainties
Shi, Peng Shue, Shyh-Pyng
Shi, Peng
Shue, Shyh-Pyng
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1999-01-31
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Article
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Keywords
H<sub>∞</sub> control,Nonlinear uncertainty,Riccati inequality,Robust stability
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Citation
Peng Shi and Shyh-Pyng Shue, "Robust H∞ control for linear discrete-time systems with norm-bounded nonlinear uncertainties," in IEEE Transactions on Automatic Control, vol. 44, no. 1, pp. 108-111, Jan. 1999, doi: 10.1109/9.739084
Abstract
This paper studies the problem of robust control of a class of uncertain discrete-time systems. The class of uncertain systems is described by a state-space model with linear nominal parts and norm-bounded nonlinear uncertainties in the state and output equations. The authors address the problem of robust H∞ control in which both robust stability and a prescribed H∞ performance are required to be achieved, irrespective of the uncertainties. It has been shown that instead of the nonlinear uncertain system, one may only consider a related linear uncertain system and thus a linear static state feedback control law is designed, which is in terms of a Riccati inequality.
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This is an open access article under the CC BY license.
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IEEE / Institute of Electrical and Electronics Engineers Incorporated
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IEEE Transactions on Automatic Control
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00189286