Application of game theory to the sensitivity design of optimal systems

The theory of games is applied to the design of systems with unknown plant parameters. It is assumed that a controller structure is known and furthermore that this controller is optimal when the controller parameters are equal to the plant parameters. The performance index then becomes a function of plant and controller parameters. This function is treated as a pay-off function with the antagonists represented by the controller and plant parameters. The theory is illustrated with some simple samples.