### Abstract

This paper presents a new method for the model reference adaptive control of nonminimum phase discrete-time systems using approximate inverse systems obtained from the least-squares approximation. Utilizing this approximate inverse system, the gain response of the system can be made approximately unit and the phase response exactly zero. This approximate inverse system can be implemented as an FIR filter. This approximate inverse system can be designed in the same manner for both minimum and nonminimum phase systems. We incorporate an extra FIR filter to approximately cancel the effect of the numerator polynomial upon the output. Using this approximate inverse system the unstable pole-zero cancellation can be avoided, and so there will exist no unstable modes in the closed-loop system. Thus, it is possible to design a two degree of freedom controller such that the output of the plant tracks some arbitrarily chosen reference model output. Several simulation results are presented in the paper to illustrate the effectiveness of the proposed method.

Original language | English |
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Title of host publication | Proceedings of the SICE Annual Conference |

Publisher | Society of Instrument and Control Engineers (SICE) |

Pages | 1295-1300 |

Number of pages | 6 |

Publication status | Published - 1996 |

Event | Proceedings of the 1996 35th SICE Annual Conference, SICE'96 - Tottori, Jpn Duration: Jul 24 1996 → Jul 26 1996 |

### Other

Other | Proceedings of the 1996 35th SICE Annual Conference, SICE'96 |
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City | Tottori, Jpn |

Period | 7/24/96 → 7/26/96 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proceedings of the SICE Annual Conference*(pp. 1295-1300). Society of Instrument and Control Engineers (SICE).

**Model reference adaptive control of nonminimum phase discrete-time systems.** / Shafiq, Muhammad; Lu, Jianming; Yahagi, Takashi.

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

*Proceedings of the SICE Annual Conference.*Society of Instrument and Control Engineers (SICE), pp. 1295-1300, Proceedings of the 1996 35th SICE Annual Conference, SICE'96, Tottori, Jpn, 7/24/96.

}

TY - GEN

T1 - Model reference adaptive control of nonminimum phase discrete-time systems

AU - Shafiq, Muhammad

AU - Lu, Jianming

AU - Yahagi, Takashi

PY - 1996

Y1 - 1996

N2 - This paper presents a new method for the model reference adaptive control of nonminimum phase discrete-time systems using approximate inverse systems obtained from the least-squares approximation. Utilizing this approximate inverse system, the gain response of the system can be made approximately unit and the phase response exactly zero. This approximate inverse system can be implemented as an FIR filter. This approximate inverse system can be designed in the same manner for both minimum and nonminimum phase systems. We incorporate an extra FIR filter to approximately cancel the effect of the numerator polynomial upon the output. Using this approximate inverse system the unstable pole-zero cancellation can be avoided, and so there will exist no unstable modes in the closed-loop system. Thus, it is possible to design a two degree of freedom controller such that the output of the plant tracks some arbitrarily chosen reference model output. Several simulation results are presented in the paper to illustrate the effectiveness of the proposed method.

AB - This paper presents a new method for the model reference adaptive control of nonminimum phase discrete-time systems using approximate inverse systems obtained from the least-squares approximation. Utilizing this approximate inverse system, the gain response of the system can be made approximately unit and the phase response exactly zero. This approximate inverse system can be implemented as an FIR filter. This approximate inverse system can be designed in the same manner for both minimum and nonminimum phase systems. We incorporate an extra FIR filter to approximately cancel the effect of the numerator polynomial upon the output. Using this approximate inverse system the unstable pole-zero cancellation can be avoided, and so there will exist no unstable modes in the closed-loop system. Thus, it is possible to design a two degree of freedom controller such that the output of the plant tracks some arbitrarily chosen reference model output. Several simulation results are presented in the paper to illustrate the effectiveness of the proposed method.

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UR - http://www.scopus.com/inward/citedby.url?scp=0030377785&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0030377785

SP - 1295

EP - 1300

BT - Proceedings of the SICE Annual Conference

PB - Society of Instrument and Control Engineers (SICE)

ER -