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Controlled invariance for discrete-time nonlinear systems with an application to the disturbance decoupling problems

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1 Author(s)
J. Grizzle ; University of Illinois at Urbana-Champaign, Urbana, IL, USA

Invariant distributions are defined for discrete-time nonlinear control systems, and necessary and sufficient conditions are given for their controlled invariance. This extends to discrete-time systems the basic tool which has been so important in solving the various synthesis problems for continuous-time systems. To indicate their utility in the discrete-time setting, they are used to locally solve the disturbance decoupling problem.

Published in:

IEEE Transactions on Automatic Control  (Volume:30 ,  Issue: 9 )