全维观测器问题的算法研究

Full-dimensional observer problem algorithm

全维观测器就是通过两个状态反馈矩阵F和G的选取,得到这两个矩阵就可以得到全维状态观测器。对于多输入线性时不变系统,状态反馈矩阵F和G不唯一。目前,常用设计方法都没有解决F和G的优化设计,本文将矩阵遗传算法引入基于Sylvester方程的算法中,优化反馈矩阵,仿真结果表明:该算法求出的反馈矩阵F和G优于其它各种方法,对于工程实现无疑是有意义的。

The full-dimensional observer is through two state feedback matrix F and G of the selection matrix can be obtained by the two full-dimensional state observer. For multi-input linear systems, state feedback matrix F and G is not unique. At present, the commonly used design methods do not solve the F and G of the optimal design, the introduction of this genetic algorithm the matrix Sylvester equation based on the algorithm, the optimal feedback matrix, simulation results show that： The algorithm the feedback matrix F and G is superior to all other ways, no doubt for the project to achieve meaningful.