TY - GEN
T1 - Stability and H∞ control of systems with variable quantization density in both input and output channels
AU - Sun, Weiyang
AU - Zhang, Lixian
AU - Wang, Dongzhe
AU - Cheng, Yiming
AU - Wang, Youshan
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2018/8/6
Y1 - 2018/8/6
N2 - This paper is concerned with the problems of stability analysis and H∞ control for a class of systems with quantized signals in both control input channel and measurement output channel. The quantization density of each quantizer is considered to be variable, and the variations of the quantizers are governed by a Markov chain. With the aid of quantization-error-dependent Lyapunov function approach, a set of H∞ controllers depending on the mode of quantization density are carried out to achieve the stochastic stability and the prescribed H∞ performance of the closed-loop system. Finally, a numerical example is provided to illustrate the effectiveness of the proposed control method and the benefits of the variability of quantization density.
AB - This paper is concerned with the problems of stability analysis and H∞ control for a class of systems with quantized signals in both control input channel and measurement output channel. The quantization density of each quantizer is considered to be variable, and the variations of the quantizers are governed by a Markov chain. With the aid of quantization-error-dependent Lyapunov function approach, a set of H∞ controllers depending on the mode of quantization density are carried out to achieve the stochastic stability and the prescribed H∞ performance of the closed-loop system. Finally, a numerical example is provided to illustrate the effectiveness of the proposed control method and the benefits of the variability of quantization density.
KW - Logarithmic quantizer
KW - Markov chain
KW - quantization-error-dependent Lyapunov function
KW - quantized signal
KW - variable quantization density
UR - https://www.scopus.com/pages/publications/85052398424
U2 - 10.1109/ICIST.2018.8426190
DO - 10.1109/ICIST.2018.8426190
M3 - 会议稿件
AN - SCOPUS:85052398424
SN - 9781538637814
T3 - 8th International Conference on Information Science and Technology, ICIST 2018
SP - 307
EP - 313
BT - 8th International Conference on Information Science and Technology, ICIST 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 8th International Conference on Information Science and Technology, ICIST 2018
Y2 - 30 June 2018 through 6 July 2018
ER -