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arXiv · 1504.06488

A One-step Approach to Computing a Polytopic Robust Positively Invariant Set

Paul Trodden
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Abstract

A procedure and theoretical results are presented for the problem of determining a minimal robust positively invariant (RPI) set for a linear discrete-time system subject to unknown, bounded disturbances. The procedure computes, via the solving of a single LP, a polytopic RPI set that is minimal with respect to the family of RPI sets generated from a finite number of inequalities with pre-defined normal vectors.

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Paul Trodden. 2015-04-24. A One-step Approach to Computing a Polytopic Robust Positively Invariant Set. https://doi.org/10.1109/tac.2016.2541300

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