文献类型：期刊文献

英文题名：Observer-based piecewise control of reaction-diffusion systems with the non-collocated output feedback

作者：Zhong, Jiaqi Feng, Yan Chen, Xiaolei Zeng, Cheng

第一作者：Zhong, Jiaqi

通信作者：Zhong, JQ[1]

机构：[1]Chongqing Univ Posts & Telecommun, Sch Automat, Chongqing 400065, Peoples R China;[2]Guizhou Inst Technol, Coll Sci, Guiyang 550000, Guizhou, Peoples R China

第一机构：Chongqing Univ Posts & Telecommun, Sch Automat, Chongqing 400065, Peoples R China

通信机构：corresponding author), Chongqing Univ Posts & Telecommun, Sch Automat, Chongqing 400065, Peoples R China.

年份：2023

外文期刊名：JOURNAL OF APPLIED MATHEMATICS AND COMPUTING

收录：;EI(收录号：20234014845227);Scopus(收录号：2-s2.0-85173114539);WOS:【SCI-EXPANDED(收录号:WOS:001074586400001)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant 62003066 and 62163008; the Natural Science Foundation of Chongqing, China under Grant cstc2021jcyj-msxmX0331 and cstc2021jcyj-msxmX0532; the Guizhou Provincial Science and Technology Projects under [2020]1Z054.

语种：英文

外文关键词：Nonlinear reaction-diffusion systems; Non-collocated output feedback; Piecewise stabilization; Observer-based control

摘要：This paper mainly deals with an observer-based control problem for the nonlinear reaction-diffusion systems subject to non-collocated output feedback. Different with the existing non-collocated controllers, the proposed methodology constructs a more general Lyapunov function with segmented spatial regions to guarantee the piecewise stabilization of nonlinear partial differential equations (PDEs) with multi-spatiotemporal states. The sufficient linear matrix inequalities (LMIs) condition is first derived by combining the improved Lyapunov direct method, Lipschitz condition, mean value theorem of integrals and a variant of Wirtinger's inequality to obtain the local gain matrices of collocated control. Further, a nonlinear PDEs observer-based piecewise controller is proposed to overcome the non-collocated distribution between finite piecewise actuators and sensors. Finally, a comparison simulation for the FitzHugh-Nagumo (FHN) system is presented to demonstrate the effectiveness and superiority of proposed non-collocated piecewise controller.