### Abstract

Chaos control is stabilizing the state of a chaotic system into the peculiar unstable periodic orbit (UPO). In chaos control proposed until today, the; target system is known in many cases. However, when the generating mechanism of chaos is unknown, the control only based on time series data observed from the system is also required. Delayed feedback control (DFC) applies control input based on the difference between the T-time delayed state and the current state. Where r denotes the periods of UPO. Although this method needs correctly no chaos orbit if the periods of UPO is known, there exists the limitation of the odd number property. As the method to compensate this fault, there is predict ion-based feedback control (PFC) using the prediction value of T-time future state. However, PFC needs to calculate this prediction value analytically by using the known mathematical model dftlie target system. Then, in this paper, chaos control for unknown chaotic systems is proposed. This technique has the hybrid type control input to improve faults of DFC and PFC. The prediction value to be used in the control input is determined by using neural network or fuzzy neural network. The control inputs are impressed only near periodic points of the target UPO using the concept of the unstable periodic region.

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

Pages (from-to) | 26-34 |

Number of pages | 9 |

Journal | IEEJ Transactions on Electronics, Information and Systems |

Volume | 123 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2003 |

Externally published | Yes |

### Fingerprint

### Keywords

- chaos control
- delayed feedback control
- fuzzy neural network
- neural network
- prediction-based feedback control
- unknown system

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*IEEJ Transactions on Electronics, Information and Systems*,

*123*(1), 26-34. https://doi.org/10.1541/ieejeiss.123.26

**Hybrid Type Chaos Control Using DFC and PFC for Unknown System.** / Shiimzu, Yoshimasa; Miyazaki, Michio; Lee, HeeHyol; Akizuki, Kageo.

Research output: Contribution to journal › Article

*IEEJ Transactions on Electronics, Information and Systems*, vol. 123, no. 1, pp. 26-34. https://doi.org/10.1541/ieejeiss.123.26

}

TY - JOUR

T1 - Hybrid Type Chaos Control Using DFC and PFC for Unknown System

AU - Shiimzu, Yoshimasa

AU - Miyazaki, Michio

AU - Lee, HeeHyol

AU - Akizuki, Kageo

PY - 2003

Y1 - 2003

N2 - Chaos control is stabilizing the state of a chaotic system into the peculiar unstable periodic orbit (UPO). In chaos control proposed until today, the; target system is known in many cases. However, when the generating mechanism of chaos is unknown, the control only based on time series data observed from the system is also required. Delayed feedback control (DFC) applies control input based on the difference between the T-time delayed state and the current state. Where r denotes the periods of UPO. Although this method needs correctly no chaos orbit if the periods of UPO is known, there exists the limitation of the odd number property. As the method to compensate this fault, there is predict ion-based feedback control (PFC) using the prediction value of T-time future state. However, PFC needs to calculate this prediction value analytically by using the known mathematical model dftlie target system. Then, in this paper, chaos control for unknown chaotic systems is proposed. This technique has the hybrid type control input to improve faults of DFC and PFC. The prediction value to be used in the control input is determined by using neural network or fuzzy neural network. The control inputs are impressed only near periodic points of the target UPO using the concept of the unstable periodic region.

AB - Chaos control is stabilizing the state of a chaotic system into the peculiar unstable periodic orbit (UPO). In chaos control proposed until today, the; target system is known in many cases. However, when the generating mechanism of chaos is unknown, the control only based on time series data observed from the system is also required. Delayed feedback control (DFC) applies control input based on the difference between the T-time delayed state and the current state. Where r denotes the periods of UPO. Although this method needs correctly no chaos orbit if the periods of UPO is known, there exists the limitation of the odd number property. As the method to compensate this fault, there is predict ion-based feedback control (PFC) using the prediction value of T-time future state. However, PFC needs to calculate this prediction value analytically by using the known mathematical model dftlie target system. Then, in this paper, chaos control for unknown chaotic systems is proposed. This technique has the hybrid type control input to improve faults of DFC and PFC. The prediction value to be used in the control input is determined by using neural network or fuzzy neural network. The control inputs are impressed only near periodic points of the target UPO using the concept of the unstable periodic region.

KW - chaos control

KW - delayed feedback control

KW - fuzzy neural network

KW - neural network

KW - prediction-based feedback control

KW - unknown system

UR - http://www.scopus.com/inward/record.url?scp=85024740520&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85024740520&partnerID=8YFLogxK

U2 - 10.1541/ieejeiss.123.26

DO - 10.1541/ieejeiss.123.26

M3 - Article

AN - SCOPUS:85024740520

VL - 123

SP - 26

EP - 34

JO - IEEJ Transactions on Electronics, Information and Systems

JF - IEEJ Transactions on Electronics, Information and Systems

SN - 0385-4221

IS - 1

ER -