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Parametric Stabilization of Quantized Interconnected Systems with Application to Coupled Inverted Pendulums
Author(s) -
Chen Ning,
Zhai Guisheng,
Guo Yuqian,
Gui Weihua,
Shen Xiaoyu
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.955
Subject(s) - control theory (sociology) , inverted pendulum , parametric statistics , quantization (signal processing) , controller (irrigation) , decentralised system , state (computer science) , stability (learning theory) , mathematics , computer science , control engineering , engineering , control (management) , physics , nonlinear system , algorithm , statistics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology
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.