CAJ | 학술논문

研究了一类具有时变时滞和变采样周期的网络控制系统的稳定性问题。网络控制系统被建模为等效的具有输入时滞的系统，通过构造一个新的具有不连续项的Lyapunov泛函，给出了线性矩阵不等式作为使得闭环系统指数稳定的充分条件。通过求解这些线性矩阵不等式，可以找到一个常数作为采样时刻和输入更新时刻之间的上界，保证闭环系统的稳定性。数值仿真算例表明，该方法有效且相比已有文献局限性更小。
연구료일류구유시변시체화변채양주기적망락공제계통적은정성문제。망락공제계통피건모위등효적구유수입시체적계통，통과구조일개신적구유불련속항적Lyapunov범함，급출료선성구진불등식작위사득폐배계통지수은정적충분조건。통과구해저사선성구진불등식，가이조도일개상수작위채양시각화수입경신시각지간적상계，보증폐배계통적은정성。수치방진산례표명，해방법유효차상비이유문헌국한성경소。
This article focuses on the stability of networked control systems ( NCSs) with variable sampling and time delay. NCSs are modeled as an equivalent input delay system. By introducing a novel Lyapunov functional with discontinuities, linear matrix ine-quality ( LMI) based sufficient conditions are derived for the exponential stability of the closed-loop system. By solving these LMIs, we can find a positive constant that determines an upper bound between a sampling instant and the subsequent input update instant, which guarantees the stability of the closed-loop system. Numerical simulation examples show that this method is efficient and less conserva-tive than existing results in the literature.