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Learning-Based Adaptive Control for Stochastic Linear Systems With Input Constraints

Learning-Based Adaptive Control for Stochastic Linear Systems With Input Constraints

We propose a certainty-equivalence scheme for adaptive control of scalar linear systems subject to additive, i.i.d. Gaussian disturbances and bounded control input constraints, without requiring prior knowledge of the bounds of the system parameters, nor the control direction. Assuming that the system is at-worst marginally stable, mean square boundedness of …