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首页> 外文期刊>Journal of Control Theory and Applications >Robust H_∞, control for discrete-time polytopic uncertain systems with linear fractional vertices
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Robust H_∞, control for discrete-time polytopic uncertain systems with linear fractional vertices

机译：鲁棒H_∞，具有线性分数顶点的离散时间多主题不确定系统的控制

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摘要

The robust H_∞ control problem for discrete-time uncertain systems is investigated in this paper. The uncertain systems are modelled as a polytopic type with linear fractional uncertainty in the vertices. A new linear matrix inequality (LMI) characterization of the H_∞ performance for discrete systems is given by introducing a matrix slack variable which decouples the matrix of a Lyapunov function candidate and the parametric matrices of the system. This feature enables one to derive sufficient conditions for discrete uncertain systems by using parameter-dependent Lyapunov functions with less conservativeness. Based on the result, H_∞ performance analysis and controller design are carried out. A numerical example is included to demonstrate the effectiveness of the proposed results.
机译：研究了离散时间不确定系统的鲁棒H_∞控制问题。将不确定系统建模为在顶点具有线性分数不确定性的多边形类型。通过引入矩阵松弛变量来给出离散系统H_∞性能的新线性矩阵不等式（LMI）表征，该变量将Lyapunov函数候选矩阵与系统的参数矩阵解耦。通过使用具有较少保守性的依赖于参数的Lyapunov函数，此功能使人们能够为离散不确定系统导出足够的条件。基于结果，进行了H_∞性能分析和控制器设计。包括一个数值示例，以证明所提出的结果的有效性。

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