title: Improved stability and stabilization design for networked control systems using new quadruple-integral functionals.
abstract: This paper investigates stability analysis and stabilization for networked control systems. By a refined delay decomposition approach, slightly different Lyapunov-Krasovskii functionals (LKFs) with quadruple-integral terms and augmented vectors containing triple-integral forms of state are constructed. New integral inequalities are proposed to estimate the cross terms from derivatives of the LKFs, which can be proved to offer tighter bounds than what the Jensen one produces theoretically. Moreover, the non-strictly proper rational functions in deriving process are fully handled via reciprocally convex approach. A state feedback controller design approach is also developed. Numerical examples and applications to practical power and oscillator systems demonstrate the superiority of the proposed criteria in conservatism reduction compared to some existing ones.
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: Data Center Consolidation of Beijing, Industrial and Commercial Bank of China, Beijing 100096, China.
authors.forename: Tianqi
authors.initials: T
authors.lastname: Li
keywords: Delay decomposition approach; Integral inequalities; Networked control systems; Stability analysis; Stabilization