考虑执行器饱和的复杂动态网络鲁棒采样切换控制  

Robust Sampling Switching Control of Complex Dynamic Networks Considering on Actuator Saturation

作　　者：李洁庆 高庭 LI Jieqing;GAO Ting(Haiyan Sandi Water Supply Co.,Ltd.,Jiaxing 314300,China;Haiyan County Water Investment Group Co.,Ltd.,Jiaxing 314300,China)

机构地区：[1]海盐县三地自来水有限公司,浙江嘉兴314300 [2]海盐县水务投资集团有限公司,浙江嘉兴314300

出　　处：《测控技术》2024年第7期85-92,共8页Measurement & Control Technology

摘　　要：随着计算机和网络技术的发展,复杂动态网络鲁棒采样切换控制受到广泛关注。探讨了在执行器饱和情况下不确定切换复杂动态网络的非周期采样控制问题。由于采样间隔上限受到停留时间的限制,采样数据控制器模式和系统模式之间的异步问题可能是由采样间隔内切换的子系统引起的。通过考虑无切换的采样间隔和有切换的采样间隔,分别构建了参数相关的李雅普诺夫闭环泛函。在平均停留时间的定义下,借助所构造的泛函,给出了不确定切换复杂动态网络误差系统的均方指数稳定性判据。此外,基于稳定性准则,针对执行器饱和情况下的不确定切换复杂动态网络,设计了全新的异步非周期采样控制器。根据提出的稳定性条件并采用非周期采样控制器设计方法,保证了不确定切换复杂动态网络与目标节点指数同步。最后,将利用蔡氏电路的算例与其他类似方法进行了对比,验证了所提方法的有效性,同时证明了利用所提方法得到的最大允许采样区间较大。With the development of computer and network technology,research on robust sampling switching control of complex dynamic networks receives widespread attention.The problem of aperiodic sampling control of complex dynamic networks with uncertain switching under actuator saturation is discussed.Since the upper limit of the sampling interval is limited by the dwell time,asynchrony issues between sampled data controller mode and system mode may be caused by subsystems switching within the sampling interval.By considering the sampling interval without switching and the sampling interval with switching,parameter-dependent Lyapunov closed-loop functionals are constructed respectively.Under the definition of average residence time and with the help of the constructed functional,the mean square exponential stability criterion of the uncertain switching complex dynamic networks error system is given.In addition,based on the stability criterion,a new asynchronous aperiodic sampling controller is designed for the complex dynamic networks of uncertain switching with actuator saturation.According to the proposed stability conditions and aperiodic sampling controller design method,the exponential synchronization of the uncertain switching complex dynamic networks with the target node is guaranteed.Finally,the effectiveness of the proposed method is verified by comparing an example of Chua's circuit with other similar methods,and it also shows that the maximum allowable sampling interval ob-tained by the proposed method is larger.

关 键 词：复杂动态网络 执行器饱和 鲁棒控制 李雅普诺夫泛函 稳定性分析 

分 类 号：TP11[自动化与计算机技术—控制理论与控制工程]