Fixed-order controller design for SISO systems using Monte Carlo technique

Fixed-order controller design for SISO systems using Monte Carlo technique
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使用蒙特卡罗技术的 SISO 系统的定阶控制器设计

DOI：
10.3182/20070829-3-ru-4911.00057
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发表时间：
2007
期刊：
--
影响因子：
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通讯作者：
P. Shcherbakov
P. Shcherbakov
中科院分区：
--
文献类型：
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作者：
Yana I. Petrikevich;Boris Polyak;P. Shcherbakov

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摘要 针对离散时间 SISO 对象，提出了一种新颖的随机固定阶控制器设计方法。它基于使用所谓的 Fam-Meditch 参数化的蒙特卡洛采样 Schur 稳定多项式，并将它们投影到由控制器参数定义的闭环特征多项式的仿射集上。如果采样投影过程未能找到稳定控制器，则通过非光滑优化的迭代方法对某些候选控制器进行局部优化。
Abstract A novel randomized approach to fixed-order controller design is proposed for discrete-time SISO plants. It is based on the Monte Carlo sampling Schur stable polynomials using so-called Fam-Meditch parametrization and projecting them onto the affine set of closed-loop characteristic polynomials, which is defined by the controller parameters. If the sampling-projecting procedure fails to find a stabilizing controller, certain candidate controllers are then locally optimized by means of an iterative method of nonsmooth optimization.