The problem of stabilizing switched linear systems under asynchronous switching is addressed.The admissible edge-dependent average dwell time method is applied to design a switching signal that comprises slow admissib...The problem of stabilizing switched linear systems under asynchronous switching is addressed.The admissible edge-dependent average dwell time method is applied to design a switching signal that comprises slow admissible edge-dependent average dwell time and fast admissible edge-dependent average dwell time.Under this switching signal,the restriction that the maximum delay of asynchronous switching is known in advance is removed.The constructed Lyapunov function is associated with both the system mode and controller mode.The stabilization criteria and the corresponding algorithm are presented to obtain the controller gains and to design the switching signal.Finally,two examples are given to demonstrate the effectiveness of the proposed results.展开更多
This paper focuses on addressing the problems of finite-time boundedness and guaranteed cost control in switched systems under asynchronous switching.To reduce redundant information transmission and alleviate data con...This paper focuses on addressing the problems of finite-time boundedness and guaranteed cost control in switched systems under asynchronous switching.To reduce redundant information transmission and alleviate data congestion of sensor nodes,two schemes are proposed:the event-triggered scheme(ETS)and the round-robin protocol(RRP).These schemes are designed to ensure that the system exhibits good dynamic characteristics while reducing communication resources.In the field of finite-time control,a switching signal is designed using the admissible edge-dependent average dwell time(AED-ADT)method.This method involves a slow AED-ADT switching and a fast AED-ADT switching,which are respectively suitable for finite-time stable and finite-time unstable situations of the controlled system within the asynchronous switching interval.By constructing a double-mode dependent Lyapunov function,the finite-time bounded criterion and the controller gain of the switched systems are obtained.Finally,the validity of the proposed results is showcased by implementing a buck-boost voltage circuit model.展开更多
基金Project supported by the National Natural Science Foundation of China(Nos.61873331,61773236,and 61773235)the Natural Science Foundation of Shandong Province,China(No.ZR2020YQ48)。
文摘The problem of stabilizing switched linear systems under asynchronous switching is addressed.The admissible edge-dependent average dwell time method is applied to design a switching signal that comprises slow admissible edge-dependent average dwell time and fast admissible edge-dependent average dwell time.Under this switching signal,the restriction that the maximum delay of asynchronous switching is known in advance is removed.The constructed Lyapunov function is associated with both the system mode and controller mode.The stabilization criteria and the corresponding algorithm are presented to obtain the controller gains and to design the switching signal.Finally,two examples are given to demonstrate the effectiveness of the proposed results.
基金Project supported by the Natural Science Foundation of Henan Province,China(No.242300421175)the National Natural Science Foundation of China(No.62003311)+2 种基金the China Postdoctoral Science Foundation(No.2023M743191)the Key Scientific Research Projects of Higher Education Institutions in Henan Province,China(No.24A120013)the Natural Science Foundation of Shandong Province,China(No.ZR2023MF049)。
文摘This paper focuses on addressing the problems of finite-time boundedness and guaranteed cost control in switched systems under asynchronous switching.To reduce redundant information transmission and alleviate data congestion of sensor nodes,two schemes are proposed:the event-triggered scheme(ETS)and the round-robin protocol(RRP).These schemes are designed to ensure that the system exhibits good dynamic characteristics while reducing communication resources.In the field of finite-time control,a switching signal is designed using the admissible edge-dependent average dwell time(AED-ADT)method.This method involves a slow AED-ADT switching and a fast AED-ADT switching,which are respectively suitable for finite-time stable and finite-time unstable situations of the controlled system within the asynchronous switching interval.By constructing a double-mode dependent Lyapunov function,the finite-time bounded criterion and the controller gain of the switched systems are obtained.Finally,the validity of the proposed results is showcased by implementing a buck-boost voltage circuit model.
