分数阶广义线性系统观测器设计

Abstract

Abstract:

The paper discussed the Caputo fractional derivatives of impulse function $\delta(t) $, i.e., ${^C_0}{D}_t^\alpha\delta(t) $ and its Laplace transform, the distributional solution of Fractional Singular Linear Systems (FSLS) was consequently obtained. Based on the distributional solution of the system, the asymptotic stability theorem for FSLS was given, and the existence theorem of state observer for FSLS was proved. A simplified design method of full state observer for FSLS was investigated and summarized by pole assignment only for the slow subsystem. Finally, a state observer as an example was designed to verify the effectiveness of the proposed method.

Key words: Fractional singular linear system, Caputo fractional derivatives, Distributional solution, Asymptotic stability, State observer

CLC Number:

TP13

Zaiyong Feng,Ning Chen,Yongpeng Tai,Zhengrong Xiang. On the Observer Design for Fractional Singular Linear Systems[J].Acta mathematica scientia,Series A, 2021, 41(5): 1529-1544.

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References 26

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On the Observer Design for Fractional Singular Linear Systems

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