### Abstract

An overview of a number of approaches to the multiobjective control problem is given. In practice, this problem usually boils down to a mixed-norm optimization, where traditionally the norms of interest are H2, H8 and l1. To capture different, often conflicting, design specifications a single-norm form is usually not enough and therefore a mixed-norm formalism combining these norms would be of considerable interest. Although it would be nice to have all three norms present, most approaches focus on the two-norm problem. Frequently encountered is the H2/H8 mixed-norm optimization problem, but combinations of l1 and the other two norms are starting to get more attention. It will be seen that the solution to the mixed-norm optimization problem has not yet reached a final shape, since most methods still exhibit problems, like not being able to find a solution if performance specifications are tight, or generating high-order or too conservative controllers, etc

Original language | English |
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Title of host publication | Proceedings of the 36th IEEE Conference on Decision and Control (San Diego CA, USA, December 10-12, 1997) |

Place of Publication | Piscataway (NJ) |

Publisher | Institute of Electrical and Electronics Engineers |

Pages | 440-445 |

ISBN (Print) | 0-7803-4187-2 |

DOIs | |

Publication status | Published - 1997 |

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## Cite this

Vroemen, B. G., & Jager, de, A. G. (1997). Multiobjective control : an overview. In

*Proceedings of the 36th IEEE Conference on Decision and Control (San Diego CA, USA, December 10-12, 1997)*(pp. 440-445). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.1997.650664