### Abstract

This paper considers a decentralized ℋ_{2} control problem for multichannel linear time-invariant (LTI) descriptor systems. Our interest is to design a low order dynamic output feedback controller. The control problem is reduced to a feasibility problem of a bilinear matrix inequality (BMI) with respect to variables of a coefficient matrix defining the controller, a Lyapunov matrix and a matrix related to the descriptor matrix. Under a matching condition between the descriptor matrix and the measurement output matrix (or the control input matrix), we propose to set the Lyapunov matrix in the BMI as block diagonal appropriately so that the BMI is reduced to LMIs.

Original language | English |
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Title of host publication | IFAC Proceedings Volumes (IFAC-PapersOnline) |

Pages | 51-56 |

Number of pages | 6 |

Volume | 16 |

Publication status | Published - 2005 |

Externally published | Yes |

Event | 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague Duration: 2005 Jul 3 → 2005 Jul 8 |

### Other

Other | 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 |
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City | Prague |

Period | 05/7/3 → 05/7/8 |

### Fingerprint

### Keywords

- ℋ control
- Bilinear matrix inequality (BMI)
- Decentralized control
- Linear matrix inequality (LMI)
- Multi-channel descriptor system

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

_{2}controller design for descriptor systems: An LMI approach. In

*IFAC Proceedings Volumes (IFAC-PapersOnline)*(Vol. 16, pp. 51-56)

**Decentralized ℋ _{2} controller design for descriptor systems : An LMI approach.** / Zhai, Guisheng; Yoshida, Masaharu; Imae, Joe; Kobayashi, Tomoaki.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

_{2}controller design for descriptor systems: An LMI approach. in

*IFAC Proceedings Volumes (IFAC-PapersOnline).*vol. 16, pp. 51-56, 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005, Prague, 05/7/3.

_{2}controller design for descriptor systems: An LMI approach. In IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16. 2005. p. 51-56

}

TY - GEN

T1 - Decentralized ℋ2 controller design for descriptor systems

T2 - An LMI approach

AU - Zhai, Guisheng

AU - Yoshida, Masaharu

AU - Imae, Joe

AU - Kobayashi, Tomoaki

PY - 2005

Y1 - 2005

N2 - This paper considers a decentralized ℋ2 control problem for multichannel linear time-invariant (LTI) descriptor systems. Our interest is to design a low order dynamic output feedback controller. The control problem is reduced to a feasibility problem of a bilinear matrix inequality (BMI) with respect to variables of a coefficient matrix defining the controller, a Lyapunov matrix and a matrix related to the descriptor matrix. Under a matching condition between the descriptor matrix and the measurement output matrix (or the control input matrix), we propose to set the Lyapunov matrix in the BMI as block diagonal appropriately so that the BMI is reduced to LMIs.

AB - This paper considers a decentralized ℋ2 control problem for multichannel linear time-invariant (LTI) descriptor systems. Our interest is to design a low order dynamic output feedback controller. The control problem is reduced to a feasibility problem of a bilinear matrix inequality (BMI) with respect to variables of a coefficient matrix defining the controller, a Lyapunov matrix and a matrix related to the descriptor matrix. Under a matching condition between the descriptor matrix and the measurement output matrix (or the control input matrix), we propose to set the Lyapunov matrix in the BMI as block diagonal appropriately so that the BMI is reduced to LMIs.

KW - ℋ control

KW - Bilinear matrix inequality (BMI)

KW - Decentralized control

KW - Linear matrix inequality (LMI)

KW - Multi-channel descriptor system

UR - http://www.scopus.com/inward/record.url?scp=79960732015&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79960732015&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:79960732015

SN - 008045108X

SN - 9780080451084

VL - 16

SP - 51

EP - 56

BT - IFAC Proceedings Volumes (IFAC-PapersOnline)

ER -