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2003 year, number 4

Moving modes in one-channel extremum control systems

Pages: 40–48


The possibility of applying the sliding mode method to synthesis of an automatic extremum seeking control system for dynamic plants with a static extreme characteristic is discussed. It is recommended to transform preliminary the control plant model by adding a new variable. For the variable it is proposed to use an estimate of the output characteristic gradient. It is shown that this transformation makes it possible to reduce the initial problem of synthesizing the extremum seeking system to a stabilization problem usual for the automatic control theory. The main properties of a closed-loop system are considered and some advises for control algorithm implementation are presented.