Stability Analysis of Real-Time Hybrid Simulation with Time-Varying Delay through a Delay Decomposition Approach

2020 ◽  
Vol 146 (10) ◽  
pp. 04020109
Author(s):  
Liang Huang ◽  
Cheng Chen ◽  
Tong Guo ◽  
Xiaoshu Gao
Keyword(s):  
Stability Analysis ◽  
Real Time ◽  
Hybrid Simulation ◽  
Time Varying ◽  
Decomposition Approach ◽  
Time Varying Delay ◽  
Delay Decomposition Approach ◽  
Varying Delay ◽  
Delay Decomposition

scholarly journals Further Results on the Stability Analysis of Singular Systems with Time-Varying Delay: A Delay Decomposition Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Pin-Lin Liu
Keyword(s):  
Stability Analysis ◽  
Singular Systems ◽  
Time Varying ◽  
Stability Criteria ◽  
Decomposition Approach ◽  
Time Varying Delay ◽  
Delay Decomposition Approach ◽  
Varying Delay ◽  
Full Consideration ◽  
Delay Decomposition

This paper deals with the problem of stability analysis for singular systems with time-varying delay. By developing a delay decomposition approach, information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities (LMIs), which can be easily solved by various optimization algorithms. The merits of the proposed results lie in their less conservatism which is realized by choosing different Lyapunov matrices in the decomposed intervals and taking the information of the delayed plant states into full consideration. It is proved that the newly proposed criteria may introduce less conservatism than some existing ones. Meanwhile, the computational complexity of the presented stability criteria is reduced greatly since fewer decision variables are involved. Numerical examples are included to show that the proposed method is effective and can provide less conservative results.

Sign in / Sign up

Export Citation Format

Share Document