## Abstract

The 2-Riccati H^{∞} controller formulas and their derivations are simplified via various loop-shifting transformations that are naturally expressed in terms of a degree-one polynomial system matrix closely related to the Luenberger descriptor form of a system. The technique enables one, without loss of generality, to restrict attention to a simple case. Matrix fraction descriptions for the algebraic Riccati equation solutions afford another change of variables which brings the 2-Riccati H^{∞} controller formulas into a cleaner, more symmetric descriptor form, with the important practical advantage that it eliminates the numerical difficulties that can occur in cases where one or both of the Riccati solutions blowup.

Original language | English |
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Pages (from-to) | 1399-1404 |

Number of pages | 6 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

Publication status | Published - 1988 |

Externally published | Yes |

Event | Proceedings of the 27th IEEE Conference on Decision and Control - Austin, TX, USA Duration: 7 Dec 1988 → 9 Dec 1988 |

## ASJC Scopus subject areas

- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization

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