### Abstract

Linear n-dimensional discrete-time systems are considered with feedback delay r at the m-dimensional input. These systems have n+mr poles. The act-and-wait control concept is introduced: the feedback is periodically switched on and off during the control with period k. It is switched on for one step (act) and switched off for (k-1) number of steps (wait). It is shown that if the act-and-wait period is larger than the time delay (i.e. k>r), then mr poles of the system are equal to zero, and the remaining poles can be placed arbitrarily if the system matrices satisfy certain controllability conditions.

Original language | English |
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Pages (from-to) | 553-557 |

Number of pages | 5 |

Journal | IET Control Theory and Applications |

Volume | 1 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2007 |

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### ASJC Scopus subject areas

- Control and Systems Engineering
- Electrical and Electronic Engineering
- Human-Computer Interaction
- Computer Science Applications
- Control and Optimization

### Cite this

**Act-and-wait control concept for discrete-time systems with feedback delay.** / Insperger, T.; Stépán, G.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Act-and-wait control concept for discrete-time systems with feedback delay

AU - Insperger, T.

AU - Stépán, G.

PY - 2007

Y1 - 2007

N2 - Linear n-dimensional discrete-time systems are considered with feedback delay r at the m-dimensional input. These systems have n+mr poles. The act-and-wait control concept is introduced: the feedback is periodically switched on and off during the control with period k. It is switched on for one step (act) and switched off for (k-1) number of steps (wait). It is shown that if the act-and-wait period is larger than the time delay (i.e. k>r), then mr poles of the system are equal to zero, and the remaining poles can be placed arbitrarily if the system matrices satisfy certain controllability conditions.

AB - Linear n-dimensional discrete-time systems are considered with feedback delay r at the m-dimensional input. These systems have n+mr poles. The act-and-wait control concept is introduced: the feedback is periodically switched on and off during the control with period k. It is switched on for one step (act) and switched off for (k-1) number of steps (wait). It is shown that if the act-and-wait period is larger than the time delay (i.e. k>r), then mr poles of the system are equal to zero, and the remaining poles can be placed arbitrarily if the system matrices satisfy certain controllability conditions.

UR - http://www.scopus.com/inward/record.url?scp=34248343797&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34248343797&partnerID=8YFLogxK

U2 - 10.1049/iet-cta:20060051

DO - 10.1049/iet-cta:20060051

M3 - Article

VL - 1

SP - 553

EP - 557

JO - IET Control Theory and Applications

JF - IET Control Theory and Applications

SN - 1751-8644

IS - 3

ER -