Model reference adaptive control of nonminimum phase discrete-time systems

Muhammad Shafiq, Jianming Lu, Takashi Yahagi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationProceedings of the SICE Annual Conference
PublisherSociety of Instrument and Control Engineers (SICE)
Pages1295-1300
Number of pages6
Publication statusPublished - 1996
EventProceedings of the 1996 35th SICE Annual Conference, SICE'96 - Tottori, Jpn
Duration: Jul 24 1996Jul 26 1996

Other

OtherProceedings of the 1996 35th SICE Annual Conference, SICE'96
CityTottori, Jpn
Period7/24/967/26/96

Fingerprint

Model reference adaptive control
FIR filters
Least squares approximations
Closed loop systems
Poles
Polynomials
Controllers

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Shafiq, M., Lu, J., & Yahagi, T. (1996). Model reference adaptive control of nonminimum phase discrete-time systems. In 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.

Proceedings of the SICE Annual Conference. Society of Instrument and Control Engineers (SICE), 1996. p. 1295-1300.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Shafiq, M, Lu, J & Yahagi, T 1996, Model reference adaptive control of nonminimum phase discrete-time systems. in 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.
Shafiq M, Lu J, Yahagi T. Model reference adaptive control of nonminimum phase discrete-time systems. In Proceedings of the SICE Annual Conference. Society of Instrument and Control Engineers (SICE). 1996. p. 1295-1300
Shafiq, Muhammad ; Lu, Jianming ; Yahagi, Takashi. / Model reference adaptive control of nonminimum phase discrete-time systems. Proceedings of the SICE Annual Conference. Society of Instrument and Control Engineers (SICE), 1996. pp. 1295-1300
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