| 引用本文: | 王治森.控制系统参数优化的一种方法[J].控制理论与应用,1986,3(3):35~42.[点击复制] |
| Wang Zhisen.AN APPROACH OF PARAMETER OPTIMIZATION FOR CONTROL SYSTEMS[J].Control Theory and Technology,1986,3(3):35~42.[点击复制] |
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| 控制系统参数优化的一种方法 |
| AN APPROACH OF PARAMETER OPTIMIZATION FOR CONTROL SYSTEMS |
| 摘要点击 1055 全文点击 582 投稿时间：1984-05-02 修订日期：1985-10-24 |
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| DOI编号 |
| 1986,3(3):35-42 |
| 中文关键词 |
| 英文关键词 |
| 基金项目 |
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| 中文摘要 |
| 本文给出一种在时间域里实现带稳定性约束的线性定常系统的优化方法。它不同于最优控制理论所采用的解析方法，而是建立在用计算机解非线性规划问题的基础上的。优化的目标函数采用二次型积分泛函，利用模态矩阵导出了它的一个规范化的算法，然后用增广的拉格朗日乘子法来求解。这一方法适用于那些不能满足最优控制论要求的许多实际系统。对于可稳定的系统，无论原始设计参数是否满足稳定性条件，经优化后总能获得稳定的最优解。 |
| 英文摘要 |
| An approach for solving the optimization problems with stability constraints of the time-invarient linear systems is proposed in this paper. The approach, which is different from the method adopted by the quadratic performance index optimal control theory, is based on the nonlinear mathematical programming. The quadratic functional is taken as the objective function of the optimization. A systematic algorithm used to compute the objective functional is deduced by using the modal matrix. The optimization problem is solved by incorporating the augmented Lagrange multiplier method and the BFGS method. The approach proposed in this paper is suitable for many practical systems which do not satisfy the requirements of the quadratic performance index optimal control theory. For stabilizable systems, the optimized results satisfying the stability constraints can be achieved without concern as to whether the initial design parameters are in the stable or unstable region. |
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