TY - JOUR
T1 - Decentralized parametric stabilization of quantized interconnected systems with application to coupled inverted pendulums
AU - Chen, Ning
AU - Zhai, Guisheng
AU - Guo, Yuqian
AU - Gui, Weihua
AU - Shen, Xiaoyu
N1 - Funding Information:
This work was supported in part by National Natural Science Foundation of China (61074001, 61074002), and in part by the Fundamental Research Funds for the Central Universities (2010QZZD016).
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2013
Y1 - 2013
N2 - This paper studies the analysis of parametric stability and decentralized state feedback control of a kind of quantized interconnected systems. The output of each controller is quantized logarithmically before it is input to the subsystem, and the quantized density would affect the stability of the systems. First, a decentralized state feedback controller is designed for interconnected systems without quantization and the corresponding stable region is obtained. Second, for a given controller, the lower bound of the quantization density is evaluated from parameters of local controllers. Finally, the proposed method is applied to coupled inverted pendulums systems which can be viewed as quantized interconnected systems. The simulation results show that by using the proposed quantized controllers, the interconnected inverted pendulum systems are parametrically stabilized.
AB - This paper studies the analysis of parametric stability and decentralized state feedback control of a kind of quantized interconnected systems. The output of each controller is quantized logarithmically before it is input to the subsystem, and the quantized density would affect the stability of the systems. First, a decentralized state feedback controller is designed for interconnected systems without quantization and the corresponding stable region is obtained. Second, for a given controller, the lower bound of the quantization density is evaluated from parameters of local controllers. Finally, the proposed method is applied to coupled inverted pendulums systems which can be viewed as quantized interconnected systems. The simulation results show that by using the proposed quantized controllers, the interconnected inverted pendulum systems are parametrically stabilized.
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U2 - 10.3182/20130708-3-CN-2036.00021
DO - 10.3182/20130708-3-CN-2036.00021
M3 - Conference article
AN - SCOPUS:84885698629
SN - 2405-8963
VL - 13
SP - 43
EP - 50
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
IS - PART 1
T2 - 13th IFAC Symposium on Large Scale Complex Systems: Theory and Applications, LSS 2013
Y2 - 7 July 2013 through 10 July 2013
ER -