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线性系统的鲁棒H_∞柔性状态反馈控制器设计 被引量:3

Design of Robust H_∞ Flexible Controller for Linear System Using State Feedback and LMI
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摘要 考虑控制器实现中的不确定性,基于LMI方法,给出了系统的鲁棒H∞柔性反馈控制器存在的充分条件,和柔性控制器增益的设计方法。所设计的控制器增益是一范围,从而当控制器增益在容许范围内波动时,均可保证闭环系统的稳定性和性能要求。具有更高的可靠性。算例分析表明文中方法设计的柔性控制器有良好的抗控制器参数偏移和干扰抑制性能,是有效和可行的。 Considering uncertainties in realization of controllers, sufficient conditions under which the robust flexible controller exists are developed based on state feedback and in terms of the method of linear matrix inequality (LMI). A procedure for the design of flexible controller is presented. Different from the commonly used robust control method , in which the controller must be realized exactly, the controller gain obtained by the proposed method is at intervals. Therefore, when parameters of designed controllers vary in permitted ranges, stability and performance of the closed system can be assured, i.e. the designed controller is flexible, robust and reliable. A numerical example shows that the flexible controller designed by the presented method is effective, feasible and excellent in resisting the excursion of parameters of controller and suppressing the external disturbances.
出处 《空军工程大学学报(自然科学版)》 CSCD 北大核心 2005年第1期30-32,共3页 Journal of Air Force Engineering University(Natural Science Edition)
基金 中国博士后科学基金资助项目(2003034410)
关键词 状态反馈 柔性控制器 H∞控制 线性矩阵不等式(LMI) state feedback flexible controller robust control linear matrix inequality (LMI)
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