Invariant approximations of the minimal robust positively invariant set
Rakovic S. V. and Kerrigan E. C. and Kouramas K. I. and Mayne D. Q.
IEEE Transactions on Automatic Control, Volume 50, Number 3, Pages 406--410, 2005Abstract
This paper provides results on approximating the minimal robust positively invariant (mRPI) set (also known as the 0-reachable set) of an asymptotically stable discrete-time linear time-invariant system. It is assumed that the disturbance is bounded, persistent and acts additively
on the state and that the constraints on the disturbance are polyhedral. Results are given that allow for the computation of a robust positively invariant, outer approximation of the mRPI set. Conditions are also given that allow one to a priori specify the accuracy of this approximation.
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- @Article{rakovic:kerrigan:kouramas:mayne:inpress,
- author = {Rakovic S. V. and Kerrigan E. C. and Kouramas K. I. and Mayne D. Q.},
- journal = {IEEE Transactions on Automatic Control},
- title = {Invariant approximations of the minimal robust positively invariant set},
- year = {2005},
- bibkey = {rakovic:kerrigan:kouramas:mayne:inpress},
- number = {3},
- pages = {406--410},
- volume = {50}
- }
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