## Abstract

We discuss a finite horizon H^{∞} control problem for time-varying systems with input delays. Clarifying a relationship between two H^{∞} control problems in input delay case and in measurement delay case, we derive a solution in input delay case based on the known result for the H^{∞} control problem in measurement delay case, and show that the solution has the same predictor-observer structure as the solution in measurement delay case has. Using this structural information on the solution, we also present an elementary proof of the solution to the finite horizon H ^{∞} control problem for systems with input delays, which is based only on completion of squares.

Original language | English |
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Pages (from-to) | 977-984 |

Number of pages | 8 |

Journal | Automatica |

Volume | 40 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2004 Jun |

## Keywords

- Finite horizon H control
- Input delay
- Riccati differential equations
- Time-varying systems

## ASJC Scopus subject areas

- Control and Systems Engineering
- Electrical and Electronic Engineering

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