### Abstract

Language | English |
---|---|

Pages | 1-17 |

Number of pages | 17 |

Journal | International Journal of Control |

DOIs | |

State | Accepted/In press - 5 Dec 2017 |

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### Keywords

- quantized control
- stochastic systems
- Markov chain
- Brownian motion
- mean-square exponential stability

### Cite this

*International Journal of Control*, 1-17. DOI: 10.1080/00207179.2017.1414310

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**Robust quantised control of hybrid stochastic systems based on discrete-time state and mode observations.** / Song, Gongfei; Mao, Xuerong; Li, Tao.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Robust quantised control of hybrid stochastic systems based on discrete-time state and mode observations

AU - Song,Gongfei

AU - Mao,Xuerong

AU - Li,Tao

PY - 2017/12/5

Y1 - 2017/12/5

N2 - In this paper, the problems of robust quantized feedback control are studied for hybrid stochastic systems based on discrete-time observations of state and mode. All of the existing results in this area design the quantized feedback control based on continuous observations of the state and mode for all time t ≥ 0 (see [23–25]). This is the first paper where we propose to use the quantized feedback control based on discrete-time observations of the state and mode. The key reason for this is to reduce the burden of communication by using not only the quantization (i.e. in the direction of state axis), but also discrete-time observations of state and mode (i.e. in the direction of time axis). Thus, the designed quantized feedback controllers have to be based on the discrete-time observations of state and mode. Clearly, the new quantized feedback controllers are more realistic and cost less in practice. Two examples with computer simulations will be provided to illustrate the effectiveness of the proposed control method.

AB - In this paper, the problems of robust quantized feedback control are studied for hybrid stochastic systems based on discrete-time observations of state and mode. All of the existing results in this area design the quantized feedback control based on continuous observations of the state and mode for all time t ≥ 0 (see [23–25]). This is the first paper where we propose to use the quantized feedback control based on discrete-time observations of the state and mode. The key reason for this is to reduce the burden of communication by using not only the quantization (i.e. in the direction of state axis), but also discrete-time observations of state and mode (i.e. in the direction of time axis). Thus, the designed quantized feedback controllers have to be based on the discrete-time observations of state and mode. Clearly, the new quantized feedback controllers are more realistic and cost less in practice. Two examples with computer simulations will be provided to illustrate the effectiveness of the proposed control method.

KW - quantized control

KW - stochastic systems

KW - Markov chain

KW - Brownian motion

KW - mean-square exponential stability

UR - http://www.tandfonline.com/toc/tcon20/current

U2 - 10.1080/00207179.2017.1414310

DO - 10.1080/00207179.2017.1414310

M3 - Article

SP - 1

EP - 17

JO - International Journal of Control

T2 - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

ER -