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分数阶线性定常系统的状态反馈镇定 被引量:3

State Feedback Stabilization of Fractional Order Linear System
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摘要 研究了在分数阶受控系统中稳定性的问题。假定分数阶系统是在线性定常的情况下,利用状态反馈的方法,构造状态反馈矩阵以实现对系统的稳定性控制;给出了分数阶系统由状态反馈镇定的条件及其证明,并给出了状态反馈镇定的综合算法。仿真实例证明了采用状态反馈实现系统镇定的可行性和有效性。 The stabilization problem of fractional order linear system is researched.Supposing the fractional order system is linear,using the state feedback method,a state feedback matrix is constructed to realize stability control of the system.Conditions for the existence of state feedback to guarantee stability of the system and general algorithm of state feedback stability are given.Simulation result shows the feasibility and effectiveness of using state feedback stability.
出处 《控制工程》 CSCD 2008年第S1期38-41,共4页 Control Engineering of China
关键词 分数阶 状态反馈 稳定性 fractional order state feedback stability
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  • 7AHN H S, CHEN Yang quart, PODLUBNYI. Robust stability test of a class of linear time invariant interval fractional - order system using Lyapunov inequality[ J]. Applied Mathematics and Computation ,2007,187 (1) :27 -34.
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