Parameter optimization in linear systems with arbitrarily constrained controller structure
Parameter optimization in linear systems with arbitrarily constrained controller structure
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DOI：
10.1109/cdc.1979.270245
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发表时间：
1979-12
期刊：
影响因子：
--
通讯作者：
C. Wenk;Charles H. Knapp
中科院分区：
文献类型：
--
作者：
C. Wenk;Charles H. Knapp
给出了定常线性系统控制器定常参数的优化算法。该算法可以应用于任意结构的线性控制器，具有任何程度的分散的信息分布。最重要的是，它是没有必要提供一个初始控制器的指定结构的稳定系统。相反，结构约束最初放松到任何程度，以获得稳定控制器。然后，该算法逐渐恢复的约束，收敛到一个局部最优解，当一个存在，并稳定任何开环系统拥有一个可控的不稳定子空间。对于任意约束的控制器，给出了最优参数必须满足的必要条件。满足这些必要条件的方法涉及到使用一个标准的共轭方向搜索与结合的乘数和惩罚方法调用的结构约束。虽然注意力集中在确定性控制问题上，但值得注意的是，可以在不对算法进行重大修改的情况下处理具有驱动扰动和测量不确定性的系统。结果是一个非常实用的工具，通过参数优化系统设计。
An algorithm is given for optimization of constant parameters in the controller for a time invariant linear system. The algorithm may be applied to linear controllers of arbitrary structure with any degree of decentralization in the distribution of information. Most important, it is not necessary to provide an initial controller of the specified structure which stabilizes the system. Rather, the structural constraints are initially relaxed to whatever degree necessary to obtain a stabilizing controller. The algorithm then gradually restores the constraints, converges to a local optimum solution, when one exists, and stabilizes any open loop system possessing a controllable unstable subspace. The necessary conditions while the optimum parameters must satisfy are developed for the arbitrarily constrained controller. The method of satisfying these necessary conditions involves use of a standard conjugate direction search together with a combined multiplier and penalty method for invoking the structural constraints. While attention is focused on the deterministic control problem, it is noted that systems with driving disturbances and measurement uncertainty may be handled with no significant modification of the algorithm. The result is a very practical tool for system design via parameter optimization.