Effectiveness and Limitation of Polytopic Approach for Quadratic Performance Analysis/Synthesis with Saturating Control
Effectiveness and Limitation of Polytopic Approach for Quadratic Performance Analysis/Synthesis with Saturating Control
复制标题
饱和控制二次性能分析/综合的多面体方法的有效性和局限性
DOI：
10.5687/iscie.18.301
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
Mitsuyoshi Takenaka
中科院分区：
文献类型：
--
作者：
T. Kiyama;Mitsuyoshi Takenaka
本文针对具有饱和非线性的线性定常系统，提出了一种基于多面体方法的区域二次型性能分析与状态反馈综合方法。特别地，二次性能域被定义为初始状态的区域，以满足二次性能。在分析的情况下，多面体的方法是理论上保守性比圆准则和现有的线性分析。然而，在综合的情况下，与多面体方法的综合条件是理论上等价的圆准则或线性分析的意义下，相同的可达域或二次性能水平，尽管获得不同的状态反馈控制器分别。最后，本文提出了一种综合方法，利用有效的多面体的方法。
This paper considers a regional quadratic performance analysis and state feedback synthesis method based on a polytopic approach for linear time invariant systems with saturation nonlinearities. In particular, a domain of quadratic performance is defined as a region of initial states in order to satisfy a quadratic performance. In the analysis case, the polytopic approach is theoretically less conservative than both the circle criterion and the existing linear analysis. However, in the synthesis case, the synthesis condition with the polytopic approach is theoretically equivalent to one with the circle criterion or the linear analysis in the meaning of the same achievable domains or quadratic performance levels in spite of obtaining different state feedback controllers respectively. Finally, this paper proposes a synthesis method making use of effectiveness of the polytopic approach.