2-D异步切换系统的有限区域H∞控制  

Finite-Region H∞Control of 2-D Asynchronous Switched Systems

作　　者：彭丹[1] 张雨婷 PENG Dan;ZHANG Yuting(School of Science,Yanshan University,Qinhuangdao Hebei 066004,China)

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《重庆师范大学学报（自然科学版）》2022年第4期92-99,共8页Journal of Chongqing Normal University:Natural Science

基　　金：河北省自然科学基金(No.F2022203085);河北省省级科技计划(No.F2020203037);国家自然科学基金杰青项目(No.61825304);河北省自然科学基金创新研究群体项目(No.F2020203013)。

摘　　要：【目的】研究Roesser模型下状态向量中带有定常时滞的二维切换系统的有限区域异步切换H控制问题。【方法】基于模态相关平均驻留时间方法设计相应的有限区域模态相关状态反馈加权H控制器,利用线性矩阵不等式(Linear matrix inequality,LMI),结合多重Lyapunov函数给出了所研究系统有限区域稳定可解的充分条件。【结果】通过LMI工具箱验证了结论可行性,可以将算例应用于化学反应器的传热过程系统,验证了结果的实际可行性。进而与已有结果进行对比,说明了所得结果的优越性。【结论】通过对角方法选取三角形有限区域,考虑状态向量中含有定常时滞的情况,所得结果对于实际系统具有重要研究意义。[Purposes]The problem of finite-region asynchronous switched Hcontrol is studied for two-dimensional systems with constant time-delay in state vectors under the Roesser model.[Methods]Based on mode-dependent average dwell time method,a finite-region mode-dependent state-feedback weighted Hcontroller is designed,and the sufficient condition for finite-region stability of the system to be solvable is given by using the linear matrix inequality(LMI)and multiple Lyapunov functions.[Findings]The feasibility of the conclusion is verified by LMI toolbox.The calculation example is applied to the heat transfer process system of a chemical reactor to verify the practical feasibility of the results.Compared with the existing results,the superiority of the obtained results is illustrated.[Conclusions]The diagonal method is used to select the finite region of triangle,considering the case of state vector with constant time delay,then the result is of great significance for practical systems.

关 键 词：二维系统 有限区域稳定性 H∞控制 异步切换 ROESSER模型 

分 类 号：O231.1[理学—运筹学与控制论]