Effectiveness and limitation of circle criterion for LTI robust control systems with control input nonlinearities of sector type
Effectiveness and limitation of circle criterion for LTI robust control systems with control input nonlinearities of sector type
复制标题
扇形控制输入非线性LTI鲁棒控制系统圆准则的有效性和局限性
DOI：
10.1002/rnc.1032
复制
发表时间：
2005
影响因子：
3.9
通讯作者：
T. Iwasaki
中科院分区：
文献类型：
--
作者：
T. Kiyama;S. Hara;T. Iwasaki
针对具有扇形非线性的线性定常系统，提出了基于圆准则的区域非线性系统性能分析与综合方法。特别地，我们考虑了非零初始状态和/或一个扰动输入对所选性能输出的范数的影响。我们表明，分析和合成问题可以被改写为线性矩阵不等式（LMI）优化问题，其中，合成，非线性元件的输出被假定为可用于控制。此外，它表明，当与现有的线性分析方法相比，圆准则做或不帮助改善鲁棒控制综合的性能界。版权所有© 2005年约翰威利父子有限公司。
This paper considers linear time invariant systems with sector type nonlinearities and proposes regional ℒ︁2 performance analysis and synthesis methods based on the circle criterion. In particular, we consider the effect of non‐zero initial states and/or an ℒ︁2 disturbance inputs on the ℒ︁2 norm of a selected performance output. We show that both analysis and synthesis problems can be recast as linear matrix inequality (LMI) optimization problems, where, for synthesis, the outputs of the nonlinear elements are assumed available for control. Moreover, it is shown when the circle criterion does or does not help to improve the performance bound in robust control synthesis when compared with the existing linear analysis method. Copyright © 2005 John Wiley & Sons, Ltd.