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

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.
LanguageEnglish
Pages59-89
Number of pages30
JournalOptimal Control Applications and Methods
Volume23
Issue number2
DOIs
Publication statusPublished - Apr 2002

Fingerprint

Polynomial Matrices
Optimal Control Problem
State Space
Polynomials
Separation Principle
Output Feedback
State Equation
Feedback Control
Cost Function
Control Problem
Optimal Control
Degree of freedom
Cost functions
Feedback
Model
Form
Class
Standards

Keywords

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

Cite this

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title = "Polynomial matrix solution of H2 optimal control problem for state-space systems",
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.",
keywords = "polynomial matrix solutions, discrete-time systems, H2 output, feedback optimal control, linear controller design, space systems, power systems, control systems",
author = "M.J. Grimble",
year = "2002",
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Polynomial matrix solution of H2 optimal control problem for state-space systems. / Grimble, M.J.

In: Optimal Control Applications and Methods, Vol. 23, No. 2, 04.2002, p. 59-89.

Research output: Contribution to journalArticle

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KW - polynomial matrix solutions

KW - discrete-time systems

KW - H2 output

KW - feedback optimal control

KW - linear controller design

KW - space systems

KW - power systems

KW - control systems

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SN - 0143-2087

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