Robust Design Strategy of Quantized Feedback Control

• Published in: IEEE transactions on circuits and systems. II, Express briefs Vol. 67; no. 4; pp. 730 - 734
• Main Authors: Chang, Xiao-Heng, Huang, Rui, Wang, Huanqing, Liu, Liang
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Attenuation; Closed loop systems; Control systems; dynamic quantization; Feedback control; Linear matrix inequalities; Mathematical analysis; Parameters; Performance analysis; Quantization (signal); Robust design; robust design strategy; Strategy; System performance; Uncertain systems
• ISSN: 1549-7747; 1558-3791
• DOI: 10.1109/TCSII.2019.2922311

This brief studies the quantized feedback control problem for uncertain systems. A novel two-step design strategy with on-line updating the quantizer's dynamic parameter is proposed to guarantee the prescribed H ∞ performance attenuation level for the quantized closed-loop system. The design strategy allows the controlled output to include the control input signal and the external disturbance. The design condition for the feedback controller and the quantizer's parameter is given based on the linear matrix inequality technique. Finally, an application on the two-mass system is provided to illustrate the feasibility and effectiveness of the proposed theoretical results.