Zonotopic reachable set estimation for linear discrete‐time systems with time delay

2020 ◽  
Vol 30 (14) ◽  
pp. 5542-5558 ◽  
Author(s):  
Zhihao Zhang ◽  
Zhenhua Wang ◽  
Wentao Tang ◽  
Zhiguang Feng ◽  
Yi Shen
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Reachable Set ◽  
Set Estimation ◽  
Discrete Time Systems ◽  
Reachable Set Estimation ◽  
Time Systems

scholarly journals Reachable Set Estimation for Discrete-Time Systems with Interval Time-Varying Delays and Bounded Disturbances

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Jiemei Zhao ◽  
Yin Sheng
Keyword(s):  
Discrete Time ◽  
Reachable Set ◽  
Time Varying ◽  
Time Varying Delay ◽  
Set Estimation ◽  
Discrete Time Systems ◽  
Bounded Disturbances ◽  
Reachable Set Estimation ◽  
Time Systems ◽  
Varying Delay

The reachable set estimation problem for discrete-time systems with delay-range-dependent and bounded disturbances is investigated. A triple-summation term, the upper bound, and the lower bound of time-varying delay are introduced into the Lyapunov function. In this case, an improved delay-range-dependent criterion is established for the addressed problem by constructing the appropriate Lyapunov functional, which guarantees that the reachable set of discrete-time systems with time-varying delay and bounded peak inputs is contained in the ellipsoid. It is worth mentioning that the initial value of the system does not need to be zero. Then, the reachable set estimation problem for time-delay systems with polytopic uncertainties is investigated. The effectiveness and the reduced conservatism of the derived results are demonstrated by an illustrative example.

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