Li Zhichen, Bai Yan, Li Tianqi
School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China.
School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China.
ISA Trans. 2016 Jul;63:170-181. doi: 10.1016/j.isatra.2016.04.001. Epub 2016 Apr 14.
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.
本文研究了网络控制系统的稳定性分析与镇定问题。通过一种改进的延迟分解方法，构造了具有四重积分项的略有不同的Lyapunov-Krasovskii泛函（LKFs）以及包含状态三重积分形式的增广向量。提出了新的积分不等式来估计LKFs导数中的交叉项，理论上可证明其能提供比Jensen不等式更紧的界。此外，在推导过程中通过互易凸方法对非严格真有理函数进行了充分处理。还开发了一种状态反馈控制器设计方法。数值例子以及在实际电力和振荡器系统中的应用表明，与一些现有准则相比，所提准则在降低保守性方面具有优越性。
