scholarly journals Full and Reduced-Order Unknown Input Observer Design for Linear Time-Delay Systems with Multiple Delays

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Seifeddine Ben Warrad ◽  
Olfa Boubaker ◽  
Mihai Lungu ◽  
Saleh Mobayen
Keyword(s):  
Time Delay ◽  
Linear Time ◽  
Observer Design ◽  
Delay Systems ◽  
Multiple Delays ◽  
Unknown Input ◽  
Time Delay Systems ◽  
Reduced Order ◽  
Unknown Input Observers ◽  
Existence Conditions

In this work, we consider the design problem of a full-order and also reduced-order unknown input observers for a particular class of time-delay systems. Asymptotic stability and existence conditions for the designed observers are established. The quadruple-tank process is used as a benchmark to prove the efficiency of the proposed algorithms.

LP-based observer design for switched positive linear time-delay systems

2019 ◽  
Vol 41 (9) ◽  
pp. 2419-2427 ◽  
Author(s):  
Li-Juan Liu ◽  
Xudong Zhao ◽  
Xi-Ming Sun ◽  
Guangdeng Zong
Keyword(s):  
Time Delay ◽  
Linear Time ◽  
Average Dwell Time ◽  
Observer Design ◽  
Delay Systems ◽  
Multiple Delays ◽  
Time Delay Systems ◽  
Arbitrary Switching ◽  
Positive Time ◽  
Switched Positive Systems

In this paper, we consider the problem of observer design for a class of switched positive time-delay systems. First, a switched positive time-delay observer is designed under average dwell time switching signals and numerical conditions are given in the form of linear programming. By providing a new design approach for the observation gain matrix of switched positive time-delay systems, the computational complexity of the numerical conditions is reduced. Moreover, the results can be extended to the switched positive systems with multiple delays. Then, a switched positive time-delay observer is presented under arbitrary switching signals. Finally, a numerical example and a practical example of a reservoir are given to show the effectiveness of our results.

Sign in / Sign up

Export Citation Format

Share Document