CAJ | 학술논문

针对控制器具有加法摄动和乘法摄动的一类不确定时延网络控制系统,研究非脆弱H_∞保成本控制问题.考虑不大于一个采样周期的不确定时延和有限能量的外部扰动,基于Lyapunov理论和线性矩阵不等式方法,对于所有容许的不确定性使得闭环系统渐近稳定,得到了该系统非脆弱H_∞保成本控制律存在的充分条件.利用这几个低保守性的充分条件容易检验一类不确定时延网络控制系统的渐近稳定性,并且满足H_∞成本指标上界.最后用仿真例子表明所给出的结果是有效的.
침대공제기구유가법섭동화승법섭동적일류불학정시연망락공제계통,연구비취약H_∞보성본공제문제.고필불대우일개채양주기적불학정시연화유한능량적외부우동,기우Lyapunov이론화선성구진불등식방법,대우소유용허적불학정성사득폐배계통점근은정,득도료해계통비취약H_∞보성본공제률존재적충분조건.이용저궤개저보수성적충분조건용역검험일류불학정시연망락공제계통적점근은정성,병차만족H_∞성본지표상계.최후용방진례자표명소급출적결과시유효적.
This paper focuses on the problem of non-fragile H_∞ guaranteed cost control for a class of networked control systems with uncertain time delay. The controller gain to be designed is assumed to have additive and multiplicative gain variations. It is supposed that the time-delay is uncertain and not more than one sampling period and the external disturbance is limited. Based on Lyapunov theory and linear matrix inequality formulation, the sufficient condition of the existence of non-fragile H_∞ guaranteed cost control law is derived to make the corresponding closed-loop system asymptotically stable for all admissible uncertainties. With these less conservative conditions it is easy to check the asymptotic stability and the upper bound of H_∞ cost index can be satisfied. Finally, a simulation example illustrates the effectiveness of the proposed approach.