| 引用本文: | 毛剑琴.线性多变量系统最优定常输出反馈设计的一种算法[J].控制理论与应用,1984,1(1):68~78.[点击复制] |
| Mao Jianqin.AN ALGORITHM OF OUTPUT FEEDBACK OF LINEAR SYSTEMS[J].Control Theory and Technology,1984,1(1):68~78.[点击复制] |
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| 线性多变量系统最优定常输出反馈设计的一种算法 |
| AN ALGORITHM OF OUTPUT FEEDBACK OF LINEAR SYSTEMS |
| 摘要点击 837 全文点击 401 投稿时间：1982-11-30 修订日期：1983-06-21 |
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| DOI编号 |
| 1984,1(1):68-78 |
| 中文关键词 |
| 英文关键词 |
| 基金项目 |
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| 中文摘要 |
| 本文在Levine-Ahtans 方法基础上提出了一种输出反馈最优化设计的算法。这一算法采用了函数最优化技术，比Levine-Ahtans 算法在计算上大为简化，收敛性也得到了保证。
求梯度矩阵是这一算法的关键。文中给出了一种求梯度矩阵的方法，较其他方法更为直观和简单。
将共轭斜量法及Armijo法则推广运用到矩阵函数最优化问题。采用符号函数法求解矩阵Lyapunov方程。从而市现率这一算法的各主要步骤。
在CDC-6500上编制了实现这个算法的程序。
作为例子，文中对M=2.7超音速运输机的侧向增温控制系统进行了设计。 |
| 英文摘要 |
| In this paper an algorithm is developed. Which is based on Levine-Ahtans \ work, by using functional optimization, This approach requires considerably less computation than for the algorithm of Levine-Ahtans and ensures the convergence of solution.
Derivation of the gradient matrix is important in this algorithm. A more simple and explicit derivation is presented here.
The conjugate gradient technique is here generalized and applied to the problem of matrix function.
A program is produced to make this algorithm viable on CDC-6500.
As a numerical example, a stability augment system of M-2.7 flight condition of a supersonic transport is computed. |
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