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Non-linear discrete-time state-feedback regulators are widely used in passiveunidirectional systems. Offline system identification is required for tuningparameters of these regulators. However, offline system identification ischallenging in some applications. Furthermore, the parameters of a system maybe slowly changing over time, which makes the system identification lesseffective. Many adaptive regulators have been proposed to tune the parametersonline when the offline information is neither accessible nor time-invariant.Stability and convergence of these adaptive regulators are challenging,especially in unidirectional systems. In this paper, a novel adaptive regulatoris proposed for first-order unidirectional passive systems. In this method, anassociated search element checks the eligibility of the update law. Then, astochastic hill-climbing algorithm updates the parameters of the discrete-timestate-feedback regulator. Simulation results demonstrate the effectiveness ofthe proposed method. The experiments on regulating of two passive systems showthe ability of the method in regulating of passive unidirectional system in thepresence of noise and disturbance.

On-Policy Robust Adaptive Discrete-Time Regulator for Passive  Unidirectional System using Stochastic Hill-climbing Algorithm and Associated  Search Element