Discrete time H control

D. J.N. Limebeer, M. Green, D. Walker

Research output: Contribution to journalConference articlepeer-review

79 Citations (Scopus)


A representation formula for all controllers for a given discrete-time system which satisfy an H norm bound is given. The approach is based on the theory of linear quadratic difference games, with the time-varying, finite-horizon version of the problem being the main focus of attention. It is found that the controller representation formula can be specified in terms of a pair of discrete-time game-theoretic Riccati difference equations.

Original languageEnglish
Pages (from-to)392-396
Number of pages5
JournalProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 1989
Externally publishedYes
EventProceedings of the 28th IEEE Conference on Decision and Control. Part 1 (of 3) - Tampa, FL, USA
Duration: 13 Dec 198915 Dec 1989

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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