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Discrete-Time Extremum-Seeking for Wiener-Hammerstein Plants with Applications to Online Engine Optimisation

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Extremum-Seeking (ES) is a non model-based closed-loop control paradigm for optimising the steady-state output of nonlinear dynamic plants. This talk will introduce a new formulation of ES for discrete-time plants possessing a Wiener-Hammerstein structure, which consists of a static nonlinear map with linear input and output dynamics. A novel method of analysis using Linear Parameter-Varying (LPV) system theory will be applied to demonstrate semi-global stability of the control scheme. Assuming only limited plant knowledge, the stability result ensures convergence of the plant output to a point in an arbitrarily small neighbourhood of the extremum, for appropriately chosen controller parameters. Unlike most schemes in the literature, the result does not rely upon explicit time-scale separation arguments. Experimental results will show how the scheme is able to maximise the output torque of an internal combustion engine in the presence of an uncertain fuel composition, by modifying the spark timing.

This talk is part of the CUED Control Group Seminars series.

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