### Abstract

In this paper, we consider analysis and design of ℋ_{∞} feedback control systems with two quantized signals. We assume that a state feedback has been designed for a continuous-time LTI (linear time-invariant) system so that the closed-loop system is Hurwitz stable and a desired ℋ_{∞}, disturbance attenuation level is achieved. However, the states are quantized before they are passed to the controller, and the control inputs are quantized before they reach the system. For such quantized feedback control systems, we propose a state-dependent strategy for updating the quantizers' parameters, so that the system is asymptotically stable and achieves the same ℋ_{∞} disturbance attenuation level. We also extend the discussion to the case of static output feedback where the measured outputs are quantized.

Original language | English |
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Title of host publication | Proceedings of the 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06 |

Pages | 346-350 |

Number of pages | 5 |

Publication status | Published - 2006 |

Event | 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06 - Ft. Lauderdale, FL Duration: 2006 Apr 23 → 2006 Apr 25 |

### Other

Other | 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06 |
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City | Ft. Lauderdale, FL |

Period | 06/4/23 → 06/4/25 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Networks and Communications
- Control and Systems Engineering

### Cite this

_{∞}feedback control systems with two quantized signals. In

*Proceedings of the 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06*(pp. 346-350). [1673170]

**Analysis and design of ℋ _{∞} feedback control systems with two quantized signals.** / Zhai, Guisheng; Chen, Xinkai; Imae, Joe; Kobayashi, Tomoaki.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

_{∞}feedback control systems with two quantized signals. in

*Proceedings of the 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06.*, 1673170, pp. 346-350, 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06, Ft. Lauderdale, FL, 06/4/23.

_{∞}feedback control systems with two quantized signals. In Proceedings of the 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06. 2006. p. 346-350. 1673170

}

TY - GEN

T1 - Analysis and design of ℋ∞ feedback control systems with two quantized signals

AU - Zhai, Guisheng

AU - Chen, Xinkai

AU - Imae, Joe

AU - Kobayashi, Tomoaki

PY - 2006

Y1 - 2006

N2 - In this paper, we consider analysis and design of ℋ∞ feedback control systems with two quantized signals. We assume that a state feedback has been designed for a continuous-time LTI (linear time-invariant) system so that the closed-loop system is Hurwitz stable and a desired ℋ∞, disturbance attenuation level is achieved. However, the states are quantized before they are passed to the controller, and the control inputs are quantized before they reach the system. For such quantized feedback control systems, we propose a state-dependent strategy for updating the quantizers' parameters, so that the system is asymptotically stable and achieves the same ℋ∞ disturbance attenuation level. We also extend the discussion to the case of static output feedback where the measured outputs are quantized.

AB - In this paper, we consider analysis and design of ℋ∞ feedback control systems with two quantized signals. We assume that a state feedback has been designed for a continuous-time LTI (linear time-invariant) system so that the closed-loop system is Hurwitz stable and a desired ℋ∞, disturbance attenuation level is achieved. However, the states are quantized before they are passed to the controller, and the control inputs are quantized before they reach the system. For such quantized feedback control systems, we propose a state-dependent strategy for updating the quantizers' parameters, so that the system is asymptotically stable and achieves the same ℋ∞ disturbance attenuation level. We also extend the discussion to the case of static output feedback where the measured outputs are quantized.

UR - http://www.scopus.com/inward/record.url?scp=34250209187&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250209187&partnerID=8YFLogxK

M3 - Conference contribution

SN - 1424400651

SN - 9781424400652

SP - 346

EP - 350

BT - Proceedings of the 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06

ER -