| 二次型最优控制系统鲁棒特征结构配置设计 |
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| 引用本文： | 涂健,周军. 二次型最优控制系统鲁棒特征结构配置设计[J]. 华中科技大学学报(自然科学版), 1987, 0(4) |
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| 作者姓名： | 涂健 周军 |
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| 作者单位： | 华中工学院自动控制工程系(涂健)，华中工学院自动控制工程系(周军) |
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| 摘 要： | 本文根据系统极点的鲁棒性与特征向量的关系,构造了一个以配置鲁棒特征结构为目标,以具有线性二次型最优控制为约束条件的最优化问题。解此最优化问题,即可得到具有鲁棒特征结构的二次型最优状态反绩。本算法无需首先确定二次型性能指标中的加权阵Q,R.由此算法确定的状态反馈阵所构成的闭环系统的极点,将位于设计者所指定的希望极点附近,并具有较强的鲁棒性。
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| 关 键 词： | 最优控制 状态反馈 鲁棒性 特征结构 最优化问题 计算机辅助设计 |
Robust Eigenstructure Assignment for a Quadratic Optimal Control System |
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| Tu Jian Zhou Jun. Robust Eigenstructure Assignment for a Quadratic Optimal Control System[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1987, 0(4) |
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| Authors: | Tu Jian Zhou Jun |
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| Affiliation: | Tu Jian Zhou Jun |
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| Abstract: | Based on the relationship between the robustness of system poles and eigenvectors, an optimization problem with the robust eigenstructure assignment as the objective and the linear quadratic optimal control as the constraint is constructed. Solving this optimization problem will yield an optimal state feedback with robust eigenstructure. In the algorithm the weighted matrix Q, R need not be determined first. The poles of the closed-loop system formed with the state feedback will be located near the desired poles and with sufficiently strong robustness. |
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| Keywords: | Optimal control State feedback Robustness Eigenstructure assign-ment Optimization problem Computer aided design. |
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