A Game Theory Polynomial Solution to the H∞ Control Problem

  • D. Fragopoulos
  • M. J. Grimble


A new solution is given to the H∞ multivariable control synthesis problem. The system is represented in polynomial matrix form and the derivation follows a game theory approach. This provides physical intuition regarding the form of the solution obtained. Moreover, the polynomial equations can be solved by a straightforward numerical algorithm even in the multivariable case. The links to LQG optimal control are also apparent by comparison with the LQG polynomial equations.


Imaginary Axis Optimal Controller Full Column Rank Game Problem Polynomial Matrice 
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© Springer-Verlag London Limited 1996

Authors and Affiliations

  • D. Fragopoulos
  • M. J. Grimble

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