Journal of Jilin University(Information Science Ed
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ZHANG Huizhen, LIU Baojiang, SHAO Keyong, REN Weijian
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Abstract: In order to solve the problem of the stability analysis of the linear descriptor fractional-order systems, the continuous frequency distributed equivalent model and the indirect Lyapunov approach are applied in the research of the linear descriptor fractional-order systems, an PD(Proportional-Derivative) controller is proposed to normalize the descriptor fractional order system. A novel sufficient condition for asymptotic stability of the descriptor fractional-order system with the order α(0<α<1) is presented. LMI(Linear Matrix Inequalities) techniques and matrix’s SVD (Singular Value Decomposition) are used to obtain the results. A numerical example is provided to demonstrate the effectiveness of the proposed methods.
Key words: robust control, singular value decomposition(SVD), linear matrix inequalities(LMI), descriptor fractional-order system
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ZHANG Huizhen, LIU Baojiang, SHAO Keyong, REN Weijian. Robust Control and Stability Analysis of Uncertain Descriptor Fractional Order Systems[J].Journal of Jilin University(Information Science Ed, 2017, 35(4): 392-397.
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http://xuebao.jlu.edu.cn/xxb/EN/Y2017/V35/I4/392
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