## Abstract

A solution is derived for the H_{∞}-optimization problem that arises in multivariable optimal discrete-time regulation when the controller has full access to the state vector. Two different approaches to the solution of the problem are presented. The first, which is more direct, minimizes the H_{∞}-norm of the transfer function matrix from the input disturbance signal to a linear combination of the states and the plant input. The second approach applies known results from the theory of difference games. It is found that the solution by the first approach yields a constant state feedback controller whose gain matrix is identical to the one used by the minimizer in the corresponding difference game.

Original language | English |
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Pages (from-to) | 942-947 |

Number of pages | 6 |

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

Volume | 2 |

State | Published - 1989 |

Event | Proceedings of the 28th IEEE Conference on Decision and Control. Part 2 (of 3) - Tampa, FL, USA Duration: 13 Dec 1989 → 15 Dec 1989 |

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