### Abstract

The authors consider a decentralized H_{∞} control problem for multichannel linear time-invariant (LTI) descriptor systems. The aim 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. There is no globally effective method for solving general BMIs. In this article, under a matching condition between the descriptor matrix and the measurement output matrix (or the control input matrix), the authors propose to set the Lyapunov matrix in the BMI as block diagonal appropriately so that the BMI is reduced to LMIs.

Original language | English |
---|---|

Pages (from-to) | 158-165 |

Number of pages | 8 |

Journal | Control and Intelligent Systems |

Volume | 33 |

Issue number | 3 |

Publication status | Published - 2005 |

Externally published | Yes |

### Fingerprint

### Keywords

- Bilinear matrix inequality (BMI)
- Decentralized H control
- Linear matrix inequality (LMI)
- Low order
- Multichannel LTI descriptor system

### ASJC Scopus subject areas

- Hardware and Architecture
- Control and Systems Engineering

### Cite this

_{∞}controller design for descriptor systems.

*Control and Intelligent Systems*,

*33*(3), 158-165.

**Decentralized H _{∞} controller design for descriptor systems.** / Zhai, Guisheng; Koyama, N.; Yoshida, M.; Murao, S.

Research output: Contribution to journal › Article

_{∞}controller design for descriptor systems',

*Control and Intelligent Systems*, vol. 33, no. 3, pp. 158-165.

_{∞}controller design for descriptor systems. Control and Intelligent Systems. 2005;33(3):158-165.

}

TY - JOUR

T1 - Decentralized H∞ controller design for descriptor systems

AU - Zhai, Guisheng

AU - Koyama, N.

AU - Yoshida, M.

AU - Murao, S.

PY - 2005

Y1 - 2005

N2 - The authors consider a decentralized H∞ control problem for multichannel linear time-invariant (LTI) descriptor systems. The aim 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. There is no globally effective method for solving general BMIs. In this article, under a matching condition between the descriptor matrix and the measurement output matrix (or the control input matrix), the authors propose to set the Lyapunov matrix in the BMI as block diagonal appropriately so that the BMI is reduced to LMIs.

AB - The authors consider a decentralized H∞ control problem for multichannel linear time-invariant (LTI) descriptor systems. The aim 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. There is no globally effective method for solving general BMIs. In this article, under a matching condition between the descriptor matrix and the measurement output matrix (or the control input matrix), the authors propose to set the Lyapunov matrix in the BMI as block diagonal appropriately so that the BMI is reduced to LMIs.

KW - Bilinear matrix inequality (BMI)

KW - Decentralized H control

KW - Linear matrix inequality (LMI)

KW - Low order

KW - Multichannel LTI descriptor system

UR - http://www.scopus.com/inward/record.url?scp=25444488515&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=25444488515&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:25444488515

VL - 33

SP - 158

EP - 165

JO - Mechatronic Systems and Control

JF - Mechatronic Systems and Control

SN - 2561-1771

IS - 3

ER -