title: Novel delay-partitioning stabilization approach for networked control system via Wirtinger-based inequalities.
abstract: This paper studies the problems of stability analysis and state feedback stabilization for networked control system. By developing a novel delay-partitioning approach, the information on both the range of network-induced delay and the maximum number of consecutive data packet dropouts can be taken into full consideration. Various augmented Lyapunov-Krasovskii functionals (LKFs) with triple-integral terms are constructed for the two delay subintervals. Moreover, the Wirtinger-based inequalities in combination with an improved reciprocal convexity are utilized to estimate the derivatives of LKFs more accurately. The proposed approaches have improved the stability conditions without increasing much computational complexity. Based on the obtained stability criterion, a stabilization controller design approach is also given. Finally, four numerical examples are presented to illustrate the effectiveness and outperformance of the proposed approaches.
authors.affiliation: School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China. Electronic address: zcl_ncepu@sina.cn.
authors.forename: Zhichen
authors.initials: Z
authors.lastname: Li
authors.affiliation: School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China.
authors.forename: Yan
authors.initials: Y
authors.lastname: Bai
authors.affiliation: School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China.
authors.forename: Congzhi
authors.initials: C
authors.lastname: Huang
authors.affiliation: School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China.
authors.forename: Yunfei
authors.initials: Y
authors.lastname: Cai
keywords: Delay-partitioning approach; Networked control system; Triple-integral terms; Wirtinger-based inequalities