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An (æ)_∞ Optimal Robust Pole Placement with Fixed Transparent Controller Structure on the Basis of Nonnegativity of Even Spectral Polynomials

机译：基于偶谱多项式的非负性的具有固定透明控制器结构的（æ）_∞最优鲁棒极点位置

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摘要

This paper presents the synthesis of an optimal robust controller with the use of pole placement technique. The presented method includes solving a polynomial equation on the basis of the chosen fixed characteristic polynomial and introduced parametric solutions with a known parametric structure of the controller. Robustness criteria in an unstructured uncertainty description with metrics of norm (æ)_∞ are for a more reliable and effective formulation of objective functions for optimization presented in the form of a spectral polynomial with positivity conditions. The method enables robust low-order controller design by using plant simplification with partial-fraction decomposition, where the simplification remainder is added to the performance weight. The controller structure is assembled of well-known parts such as disturbance rejection, and reference tracking. The approach also allows the possibility of multiobjective optimization of robust criteria, application of mixed sensitivity problem, and other closed-loop limitation criteria, where the common criteria function can be composed from different unrelated criteria. Optimization and controller design are performed with iterative evolution algorithm.
机译：本文介绍了使用极点放置技术的最优鲁棒控制器的综合。所提出的方法包括基于所选的固定特征多项式来求解多项式方程，并引入具有控制器的已知参数结构的参数解。具有规范（æ）_∞度量的非结构化不确定性描述中的稳健性标准是为了以更可靠和更有效的方式表达优化目标函数，以带正定条件的谱多项式形式表示。该方法通过使用带有部分分数分解的工厂简化来实现鲁棒的低阶控制器设计，其中将简化余数添加到性能权重中。控制器结构由诸如干扰抑制和参考跟踪之类的众所周知的部件组成。该方法还允许对鲁棒性准则进行多目标优化，混合灵敏度问题的应用以及其他闭环限制准则，其中共同准则函数可以由不同的无关准则组成。优化和控制器设计通过迭代进化算法执行。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第11期|735245.1-735245.25|共25页
  • 作者

    Andrej Sarjas; Rajko Svecko; Amor Chowdhury;

  • 作者单位

    Faculty of Electrical Engineering and Computer Science (FERI), University of Maribor, 2000 Maribor, Slovenia;

    Faculty of Electrical Engineering and Computer Science (FERI), University of Maribor, 2000 Maribor, Slovenia;

    Margento B.V., Telstone 8,1043 BV Amsterdam, The Netherlands;

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