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Robust H/sub /spl infin// control for linear discrete-time systems with norm-bounded nonlinear uncertainties

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2 Author(s)
Peng Shi ; Centre for Ind. & Appl. Math., Univ. of South Australia, SA, Australia ; Shyh-Pyng Shue

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.

Published in:

IEEE Transactions on Automatic Control  (Volume:44 ,  Issue: 1 )