Controller Design for Robust Invariance From Noisy Data

For an unknown linear system, starting from noisy open-loop input-state data collected during a finite-length experiment, we directly design feedback controller that guarantees robust invariance of given polyhedral set the state in presence disturbances. The main result is necessary and sufficient condition for existence such controller, amounts to solution program. benefits large rich sets problem are discussed. A numerical example about simplified platoon two vehicles illustrates method.