### Abstract

This paper presents a new approach with non-common linear matrix inequality (LMI) solutions to the multiobjective state-feedback control design problem. A conventional approach is adopting common LMI solutions to avoid a difficulty of non-convex constraints at the sacrifice of conservatism. To get around the conservatism, in this paper, we perform a standard procedure called change of variables and represent the resulting variables as a set of affine functions of new variables. These affine functions are such that they satisfy the non-convex constraints regardless of the new variables. With these affine functions, we readily derive a set of LMI conditions that allow non-common LMI solutions.

Original language | English |
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Pages (from-to) | 848-853 |

Number of pages | 6 |

Journal | Proceedings of the American Control Conference |

Volume | 2 |

Publication status | Published - Jan 1 2001 |

Externally published | Yes |

Event | 2001 American Control Conference - Arlington, VA, United States Duration: Jun 25 2001 → Jun 27 2001 |

### All Science Journal Classification (ASJC) codes

- Electrical and Electronic Engineering

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## Cite this

*Proceedings of the American Control Conference*,

*2*, 848-853.