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A One-step Approach to Computing a Polytopic Robust Positively Invariant Set (1504.06488v3)
Published 24 Apr 2015 in cs.SY and math.OC
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.