研究了一类非线性网络控制系统(Networked control systems,NCSs)的镇定问题.在一般的网络环境中,通过平行分布补偿技术,将非线性NCS建模为包含一个稳定子系统和一个可能不稳定子系统的模糊时滞切换系统.利用分段Lyapunov泛函方法和平...研究了一类非线性网络控制系统(Networked control systems,NCSs)的镇定问题.在一般的网络环境中,通过平行分布补偿技术,将非线性NCS建模为包含一个稳定子系统和一个可能不稳定子系统的模糊时滞切换系统.利用分段Lyapunov泛函方法和平均驻留时间方法,得到了非线性NCS指数稳定的充分条件,并以线性矩阵不等式(Linear matrix inequality,LMI)形式给出了模糊控制器的设计方法.最后通过数值例子说明了所给方法的有效性.展开更多
In this paper,the robust stability issue of switched uncertain multidelay systems resulting from actuator failures is considered.Based on the average dwell time approach,a set of suitable switching signals is designed...In this paper,the robust stability issue of switched uncertain multidelay systems resulting from actuator failures is considered.Based on the average dwell time approach,a set of suitable switching signals is designed by using the total activation time ratio between the stable subsystem and the unstable one.It is first proven that the resulting closed-loop system is robustly exponentially stable for some allowable upper bound of delays if the nominal system with zero delay is exponentially stable under these switching laws.Particularly,the maximal upper bound of delays can be obtained from the linear matrix inequalities.At last,the effectiveness of the proposed method is demonstrated by a simulation example.展开更多
文摘研究了一类非线性网络控制系统(Networked control systems,NCSs)的镇定问题.在一般的网络环境中,通过平行分布补偿技术,将非线性NCS建模为包含一个稳定子系统和一个可能不稳定子系统的模糊时滞切换系统.利用分段Lyapunov泛函方法和平均驻留时间方法,得到了非线性NCS指数稳定的充分条件,并以线性矩阵不等式(Linear matrix inequality,LMI)形式给出了模糊控制器的设计方法.最后通过数值例子说明了所给方法的有效性.
基金supported by the National Basic Research Program of China (No. 2007CB714006)the National Natural Science Foundation(No. 61074020)
文摘In this paper,the robust stability issue of switched uncertain multidelay systems resulting from actuator failures is considered.Based on the average dwell time approach,a set of suitable switching signals is designed by using the total activation time ratio between the stable subsystem and the unstable one.It is first proven that the resulting closed-loop system is robustly exponentially stable for some allowable upper bound of delays if the nominal system with zero delay is exponentially stable under these switching laws.Particularly,the maximal upper bound of delays can be obtained from the linear matrix inequalities.At last,the effectiveness of the proposed method is demonstrated by a simulation example.
