Polynomial matrix solution of H2 optimal control problem for state-space systems

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Abstract

A polynomial matrix solution to the H2 output feedback optimal control problems is obtained for systems represented in state-equation form. The proof does not invoke the separation principle but is obtained in the z-domain. The cost function includes weighted states, which allows the so-called standard system model problem to be solved. This encompasses the class of inferential control problems. The results also enable the two-degree-of-freedom optimal control solution properties to be explored.
Original languageEnglish
Pages (from-to)59-89
Number of pages30
JournalOptimal Control Applications and Methods
Volume23
Issue number2
DOIs
Publication statusPublished - Apr 2002

Keywords

  • polynomial matrix solutions
  • discrete-time systems
  • H2 output
  • feedback optimal control
  • linear controller design
  • space systems
  • power systems
  • control systems

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