### Abstract

The purpose of this study is to design a gain-scheduled feedback compensator for a system constrained on the input. Description of the input saturation by the hyperbolic tangential function transfers the system description to a form of a linear parameter-dependent system. This formulation allows applying the gain-scheduling control synthesis via linear matrix inequalities (LMI). In order to avoid the windup phenomena caused by input limitation suppression of the input derivatives is employed. While the input derivatives could not be taken into account in the previous studies because of using the discontinuous functions as the input limitations, in this study it is available to take account of the input derivatives in the controller design. This means that the designed controller includes integrators and constructs a type-one control system. Consideration of input derivatives may mitigate sudden change of the input even if there is no feedback loop of error between input and output of the nonlinear function. Simulation results show usefulness of the proposed design method.

Original language | English |
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Title of host publication | IEEE Conference on Control Applications - Proceedings |

Publisher | IEEE |

Pages | 1698-1703 |

Number of pages | 6 |

Volume | 2 |

Publication status | Published - 1999 |

Externally published | Yes |

Event | Proceedings of the 1999 IEEE International Conference on Control Applications (CCA) and IEEE International Symposium on Computer Aided Control System Design (CACSD) - Kohala Coast, HI, USA Duration: 1999 Aug 22 → 1999 Aug 27 |

### Other

Other | Proceedings of the 1999 IEEE International Conference on Control Applications (CCA) and IEEE International Symposium on Computer Aided Control System Design (CACSD) |
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City | Kohala Coast, HI, USA |

Period | 99/8/22 → 99/8/27 |

### Fingerprint

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

*IEEE Conference on Control Applications - Proceedings*(Vol. 2, pp. 1698-1703). IEEE.

**Gain-scheduled control of a system with input constraint by suppression of input derivatives.** / Nishimura, Hidekazu; Takagi, Kiyoshi; Yamamoto, Kohei.

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

*IEEE Conference on Control Applications - Proceedings.*vol. 2, IEEE, pp. 1698-1703, Proceedings of the 1999 IEEE International Conference on Control Applications (CCA) and IEEE International Symposium on Computer Aided Control System Design (CACSD), Kohala Coast, HI, USA, 99/8/22.

}

TY - GEN

T1 - Gain-scheduled control of a system with input constraint by suppression of input derivatives

AU - Nishimura, Hidekazu

AU - Takagi, Kiyoshi

AU - Yamamoto, Kohei

PY - 1999

Y1 - 1999

N2 - The purpose of this study is to design a gain-scheduled feedback compensator for a system constrained on the input. Description of the input saturation by the hyperbolic tangential function transfers the system description to a form of a linear parameter-dependent system. This formulation allows applying the gain-scheduling control synthesis via linear matrix inequalities (LMI). In order to avoid the windup phenomena caused by input limitation suppression of the input derivatives is employed. While the input derivatives could not be taken into account in the previous studies because of using the discontinuous functions as the input limitations, in this study it is available to take account of the input derivatives in the controller design. This means that the designed controller includes integrators and constructs a type-one control system. Consideration of input derivatives may mitigate sudden change of the input even if there is no feedback loop of error between input and output of the nonlinear function. Simulation results show usefulness of the proposed design method.

AB - The purpose of this study is to design a gain-scheduled feedback compensator for a system constrained on the input. Description of the input saturation by the hyperbolic tangential function transfers the system description to a form of a linear parameter-dependent system. This formulation allows applying the gain-scheduling control synthesis via linear matrix inequalities (LMI). In order to avoid the windup phenomena caused by input limitation suppression of the input derivatives is employed. While the input derivatives could not be taken into account in the previous studies because of using the discontinuous functions as the input limitations, in this study it is available to take account of the input derivatives in the controller design. This means that the designed controller includes integrators and constructs a type-one control system. Consideration of input derivatives may mitigate sudden change of the input even if there is no feedback loop of error between input and output of the nonlinear function. Simulation results show usefulness of the proposed design method.

UR - http://www.scopus.com/inward/record.url?scp=0033312727&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033312727&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0033312727

VL - 2

SP - 1698

EP - 1703

BT - IEEE Conference on Control Applications - Proceedings

PB - IEEE

ER -