Application of a Game Theoretic Controller to a Benchmark Problem

The game theoretic controller whose structure is idential to that of both the linear-exponential-Gaussian and H¿ controller is applied to the problem of controlling a mass-spring system which approximates the dynamics of a flexible structure. By viewing the plant parameter variation as an internal feedback loop, plant uncertainties of the system, input, and output matrices can be decomposed into a fictitious input-output system with unknown gains. These fictitious input-output directions due to uncertainty are used in constructing the gains for the game theoretic controller which reduces the effect of uncertainty on system performance.