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多互联不确定的动态网络系统的一致性

发表时间:2016-11-30  浏览量:1339  下载量:283
全部作者: 奥顿,张博嘉
作者单位: 北京工业大学电子信息与控制工程学院
摘 要: 首先,针对互联参数不确定的线性动态网路系统,利用部分变元稳定性理论对系统进行线性变换,将一致性问题转化成部分稳定性问题,从而得到以线性矩阵不等式(linear matrix inequality,LMI)形式给出的一致性判据,并得到基于参数依赖的Lyapunov 函数的静态输出反馈控制器设计方法。进一步对于节点系统为具有Lure 性质的非线性网络系统,考虑状态互联不确定性、控制器互联不确定性及非线性不确定性,运用Kalman-Yakubovich-Popov(KPY)引理、Schur 补等相关引理得到使得网络系统一致的新的判据,并设计静态输出反馈。最后,通过两个数值案例验证本文方法的有效性。
关 键 词: 自动控制技术;一致性;多互联;鲁棒性;Lure 型非线性系统;静态输出反馈
Title: Consensus of uncertain dynamic network system with multi-interconnections
Author: AO Dun, ZHANG Bojia
Organization: College of Electronic Information and Control Engineering, Beijing University of Technology
Abstract: According to the linear dynamic network system with uncertain parameters, we use the stability theory of partial variables, and the linear transformation matrix to convert the consensus problem to the partial stability problem. By using Lyapunov method and the projection theorem, we give the consistency criterion in the linear matrix inequality (LMI) form, and the static output feedback controller parameters are obtained by using the criterion. Furthermore, we deal with the system that the node is a nonlinear system with Lure type. Meanwhile, the system with interconnection uncertainty and controller parameter uncertainty is taken into account. Based on the circle criterion, frequency domain criterion is obtained, then we use Kalman-Yakubovich-Popov (KYP) lemma and Schur lemma to get the time domain criterion in the LMI form and the method of the static output feedback controller is proposed. Finally, numerical examples are presented to illustrate the efficiency and applicability of the proposed methods.
Key words: autocontrol technology; consensus; multi-interconnections; robustness; Lure nonlinear system; static output feedback
发表期数: 2016年11月第22期
引用格式: 奥顿,张博嘉. 多互联不确定的动态网络系统的一致性[J]. 中国科技论文在线精品论文,2016,9(22):2353-2362.
 
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