### 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. We show how unstable pole-zero cancellations can be avoided. This approximate inverse system can be used in the same manner for both minimum and nonminimum phase systems. Moreover, the degrees of the controller polynomials do not depend on the approximate inverse system. We just need an extra FIR filter in the feedforward path.

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

Pages (from-to) | 2176-2184 |

Number of pages | 9 |

Journal | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |

Volume | E79-A |

Issue number | 12 |

Publication status | Published - 1996 |

### Fingerprint

### Keywords

- Approximate inverse system
- Nonminimum phase system
- Self-tuning control
- Stochastic system

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Hardware and Architecture
- Information Systems

### Cite this

*IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences*,

*E79-A*(12), 2176-2184.

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

Research output: Contribution to journal › Article

*IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences*, vol. E79-A, no. 12, pp. 2176-2184.

}

TY - JOUR

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. We show how unstable pole-zero cancellations can be avoided. This approximate inverse system can be used in the same manner for both minimum and nonminimum phase systems. Moreover, the degrees of the controller polynomials do not depend on the approximate inverse system. We just need an extra FIR filter in the feedforward path.

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. We show how unstable pole-zero cancellations can be avoided. This approximate inverse system can be used in the same manner for both minimum and nonminimum phase systems. Moreover, the degrees of the controller polynomials do not depend on the approximate inverse system. We just need an extra FIR filter in the feedforward path.

KW - Approximate inverse system

KW - Nonminimum phase system

KW - Self-tuning control

KW - Stochastic system

UR - http://www.scopus.com/inward/record.url?scp=0030378046&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030378046&partnerID=8YFLogxK

M3 - Article

VL - E79-A

SP - 2176

EP - 2184

JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

SN - 0916-8508

IS - 12

ER -