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quadratic stabilization control
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quadratic stabilization control
Encyclopedia
工学
鲁棒控制理论
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quadratic stabilization control
二次镇定控制
考虑由状态空间模型描述的线性时变系统: (1) 式中为维状态向量;为维控制输入向量;,是时间变量;和,分别表示各系数矩阵不确定性的参数向量,和分别是和的有界闭集合。在式(1)中,若存在连续的状态反馈控制: (2) 以及维常数矩阵0">和常数 0">,而且对应于闭环控制系统: 函数对时间的导数不依赖于和的值而满足: (3) 式中;是时间变量。则称式(1)是可二次镇定的。特别地,如果上述是线性函数,有: (4) 那么称式(1)是可通过线性控制实现二次镇定的。这时,式(2)或式(4)称为二次镇定控制。
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