Abstract
The extremum seeking control has been proposed to find a set point and/or track a time-varying set point so that a performance index of the system reaches its extremum point. In this paper, the extremum seeking control with sliding mode is extended to solve the Nash equilibrium solution for an n-person linear quadratic dynamic game. For each player, a sliding mode extremum seeking controller is designed to let the player's linear quadratic performance index track a decreasing signal so that the Nash equilibrium point is reached.
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