Robust Control pp 210-217 | Cite as

Nash games and mixed H2/H control

  • D. J. N. Limebeer
  • B. D. O. Anderson
  • B. Hendel
Conference paper
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 183)


The established theory of non-zero sum games is used to solve a mixed H 2/H control problem. Our idea is to use the two pay-off functions associated with a two player Nash game to represent the H 2 and H criteria separately. We treat the state feedback problem, and we find necessary and sufficient conditions for the existence of a solution. A full stability analysis is available in the infinite horizon case [13], and the resulting controller is a constant state feedback law which is characterised by the solution to a pair of cross-coupled Riccati differential equations.


Nash Equilibrium Riccati Equation Nash Equilibrium Strategy Nash Solution Nash Game 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • D. J. N. Limebeer
    • 1
  • B. D. O. Anderson
    • 2
  • B. Hendel
    • 1
  1. 1.Department of Electrical EngineeringImperial CollegeLondon
  2. 2.Department of Systems EngineeringAustralian National UniversityCanberraAustralia

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