Robust static output feedback design for polynomial nonlinear systems
Robust static output feedback design for polynomial nonlinear systems
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DOI：
10.1002/rnc.1541
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发表时间：
2010-09
影响因子：
3.9
通讯作者：
Dan Zhao;Jianliang Wang
中科院分区：
文献类型：
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作者：
Dan Zhao;Jianliang Wang
研究了一类多项式非线性系统的非线性静态输出反馈设计问题的计算方法。以状态相关矩阵不等式的形式给出了具有或不具有H∞性能的闭环稳定性的充分条件，这为应用新的平方和规划技术获得计算上易于处理的解提供了一种有效的方法。通过引入额外的矩阵变量，我们成功地消除了系统矩阵和李雅普诺夫矩阵之间的耦合。所提出的方法也扩展到参数依赖多项式系统的综合。鲁棒多项式输出反馈控制器的设计，在一个有效的计算方式。最后，数值例子来证明所提出的方法的有效性。版权所有© 2009约翰威利父子有限公司。
A computational scheme of solving the nonlinear static output feedback design problems for a class of polynomial nonlinear systems is investigated in this paper. Sufficient conditions to achieve the closed‐loop stability with or without H∞ performance are presented as state‐dependent matrix inequalities, which provides an effective way for the application of the new sum of squares programming technique to obtain computationally tractable solutions. By introducing additional matrix variables, we succeed in eliminating the coupling between system matrices and the Lyapunov matrix. The proposed methodology is also extended to the synthesis for the parameter‐dependent polynomial systems. Robust polynomial output feedback controller is designed in an efficient computational manner. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed methodology. Copyright © 2009 John Wiley & Sons, Ltd.