### Abstract

This paper presents a new method for the self-tuning control of nonminimum phase discrete-time stochastic systems using approximate inverse systems obtained from the least-squares approximation. Using this approximate inverse system the gain response of the system can be made approximately unit and phase response exactly zero. This approximate inverse system can be used in the same manner for both minimum and nonminimum phase systems. Moreover, the order of the feedback controller does not depend upon the approximate inverse system. We just need an extra FIR filter in the feedforward path. There exists no unstable pole-zero cancellation in the system, but the effect of the unstable zeros can be cancelled approximately. Finally, several computer simulation results are presented to illustrate the effectiveness of the proposed method.

Original language | English |
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Title of host publication | IECON Proceedings (Industrial Electronics Conference) |

Editors | Anon |

Publisher | IEEE |

Pages | 340-345 |

Number of pages | 6 |

Volume | 1 |

Publication status | Published - 1996 |

Event | Proceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 3 (of 3) - Taipei, Taiwan Duration: Aug 5 1996 → Aug 10 1996 |

### Other

Other | Proceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 3 (of 3) |
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City | Taipei, Taiwan |

Period | 8/5/96 → 8/10/96 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*IECON Proceedings (Industrial Electronics Conference)*(Vol. 1, pp. 340-345). IEEE.

**On self-tuning control of nonminimum phase discrete-time stochastic systems.** / Shafiq, Muhammad; Lu, Jianming; Yahagi, Takashi.

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

*IECON Proceedings (Industrial Electronics Conference).*vol. 1, IEEE, pp. 340-345, Proceedings of the 1996 IEEE 22nd International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 3 (of 3), Taipei, Taiwan, 8/5/96.

}

TY - GEN

T1 - On self-tuning control of nonminimum phase discrete-time stochastic systems

AU - Shafiq, Muhammad

AU - Lu, Jianming

AU - Yahagi, Takashi

PY - 1996

Y1 - 1996

N2 - This paper presents a new method for the self-tuning control of nonminimum phase discrete-time stochastic systems using approximate inverse systems obtained from the least-squares approximation. Using this approximate inverse system the gain response of the system can be made approximately unit and phase response exactly zero. This approximate inverse system can be used in the same manner for both minimum and nonminimum phase systems. Moreover, the order of the feedback controller does not depend upon the approximate inverse system. We just need an extra FIR filter in the feedforward path. There exists no unstable pole-zero cancellation in the system, but the effect of the unstable zeros can be cancelled approximately. Finally, several computer simulation results are presented to illustrate the effectiveness of the proposed method.

AB - This paper presents a new method for the self-tuning control of nonminimum phase discrete-time stochastic systems using approximate inverse systems obtained from the least-squares approximation. Using this approximate inverse system the gain response of the system can be made approximately unit and phase response exactly zero. This approximate inverse system can be used in the same manner for both minimum and nonminimum phase systems. Moreover, the order of the feedback controller does not depend upon the approximate inverse system. We just need an extra FIR filter in the feedforward path. There exists no unstable pole-zero cancellation in the system, but the effect of the unstable zeros can be cancelled approximately. Finally, several computer simulation results are presented to illustrate the effectiveness of the proposed method.

UR - http://www.scopus.com/inward/record.url?scp=0030401462&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030401462&partnerID=8YFLogxK

M3 - Conference contribution

VL - 1

SP - 340

EP - 345

BT - IECON Proceedings (Industrial Electronics Conference)

A2 - Anon, null

PB - IEEE

ER -