### Abstract

Language | English |
---|---|

Pages | 59-89 |

Number of pages | 30 |

Journal | Optimal Control Applications and Methods |

Volume | 23 |

Issue number | 2 |

DOIs | |

Publication status | Published - Apr 2002 |

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### 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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**Polynomial matrix solution of H2 optimal control problem for state-space systems.** / Grimble, M.J.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Polynomial matrix solution of H2 optimal control problem for state-space systems

AU - Grimble, M.J.

PY - 2002/4

Y1 - 2002/4

N2 - 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.

AB - 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.

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

UR - http://dx.doi.org/10.1002/oca.703

U2 - 10.1002/oca.703

DO - 10.1002/oca.703

M3 - Article

VL - 23

SP - 59

EP - 89

JO - Optimal Control Applications and Methods

T2 - Optimal Control Applications and Methods

JF - Optimal Control Applications and Methods

SN - 0143-2087

IS - 2

ER -