### Abstract

The well-known Disturbance Decoupling Problem with Stability will be investigated in the case of LPV systems and a sufficient condition for its solvability will be given. By using the concept of parameter varying (A, B)-invariant subspace and parameter varying controllability subspace, this paper investigates the disturbance decoupling problem (DDP) for linear parameter varying (LPV) systems. The parameter dependence in the state matrix of these LPV systems is assumed to be in affine form. The question of stability is addressed in the terms of Lyapunov quadratic stability by using an LMI technique. If certain conditions for the parameter functions and matrices are fulfilled a sufficient condition is given for the solvability of the DDP problem with stability (DDPS).

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

Title of host publication | European Control Conference, ECC 2003 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 558-563 |

Number of pages | 6 |

ISBN (Print) | 9783952417379 |

Publication status | Published - Apr 13 2003 |

Event | 2003 European Control Conference, ECC 2003 - Cambridge, United Kingdom Duration: Sep 1 2003 → Sep 4 2003 |

### Other

Other | 2003 European Control Conference, ECC 2003 |
---|---|

Country | United Kingdom |

City | Cambridge |

Period | 9/1/03 → 9/4/03 |

### Fingerprint

### Keywords

- Disturbance Decoupling
- LPV systems
- Stability

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

*European Control Conference, ECC 2003*(pp. 558-563). [7085014] Institute of Electrical and Electronics Engineers Inc..

**Disturbance decoupling problem with stability for LPV systems.** / Stikkel, G.; Bokor, J.; Szabó, Z.

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

*European Control Conference, ECC 2003.*, 7085014, Institute of Electrical and Electronics Engineers Inc., pp. 558-563, 2003 European Control Conference, ECC 2003, Cambridge, United Kingdom, 9/1/03.

}

TY - GEN

T1 - Disturbance decoupling problem with stability for LPV systems

AU - Stikkel, G.

AU - Bokor, J.

AU - Szabó, Z.

PY - 2003/4/13

Y1 - 2003/4/13

N2 - The well-known Disturbance Decoupling Problem with Stability will be investigated in the case of LPV systems and a sufficient condition for its solvability will be given. By using the concept of parameter varying (A, B)-invariant subspace and parameter varying controllability subspace, this paper investigates the disturbance decoupling problem (DDP) for linear parameter varying (LPV) systems. The parameter dependence in the state matrix of these LPV systems is assumed to be in affine form. The question of stability is addressed in the terms of Lyapunov quadratic stability by using an LMI technique. If certain conditions for the parameter functions and matrices are fulfilled a sufficient condition is given for the solvability of the DDP problem with stability (DDPS).

AB - The well-known Disturbance Decoupling Problem with Stability will be investigated in the case of LPV systems and a sufficient condition for its solvability will be given. By using the concept of parameter varying (A, B)-invariant subspace and parameter varying controllability subspace, this paper investigates the disturbance decoupling problem (DDP) for linear parameter varying (LPV) systems. The parameter dependence in the state matrix of these LPV systems is assumed to be in affine form. The question of stability is addressed in the terms of Lyapunov quadratic stability by using an LMI technique. If certain conditions for the parameter functions and matrices are fulfilled a sufficient condition is given for the solvability of the DDP problem with stability (DDPS).

KW - Disturbance Decoupling

KW - LPV systems

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=84949094380&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84949094380&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9783952417379

SP - 558

EP - 563

BT - European Control Conference, ECC 2003

PB - Institute of Electrical and Electronics Engineers Inc.

ER -