Due to the increased thermodynamical efficiency of a constant-volume combustion compared to a constant-pressure mode, the former one represents an attractive alternative for future gas turbines. The shockless explosion combustion is a method to create a detonation without pressure peaks due to a simultaneous autoignition of the fuel. This method leads to high requirements regarding the filling process. Considering disturbances in the detonation tube these requirements can only be met using closed-loop control. In this paper two adaptive control algorithms are tested on a non-reactive surrogate set-up. One of these control schemes is a novel formulation of a discrete extremum seeking controller. By estimating the first derivative and Hessian matrix of the system, this controller is able to use steps of the Newton method to converge to the optimal control trajectory. This controller is compared to an iterative learning controller using a black-box model with a Hammerstein compensation.

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