New state transformations of time-delay systems with multiple delays and their applications to state observer design

2016 ◽  
Vol 353 (14) ◽  
pp. 3487-3523 ◽  
Author(s):  
D.C. Huong ◽  
H. Trinh
Keyword(s):  
Time Delay ◽  
State Observer ◽  
Observer Design ◽  
Delay Systems ◽  
Multiple Delays ◽  
Time Delay Systems

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.

A fresh approach to the design of observers for time-delay systems

2016 ◽  
Vol 40 (2) ◽  
pp. 477-503 ◽  
Author(s):  
Dinh Cong Huong
Keyword(s):  
Time Delay ◽  
State Vector ◽  
State Observer ◽  
The State ◽  
Observer Design ◽  
Delay Systems ◽  
Time Delay Systems ◽  
State Variables ◽  
State Transformation ◽  
Original State

This paper presents a fresh approach to the design of state observers for a class of time-delay systems with one time delay in the state and output vectors. By proposing a new coordinate state transformation, the system is first transformed into the new coordinates where all the delay terms associated with the state variables are injected into the system’s output and input. Thus, in the new coordinate system, a Luenberger-type state observer can be easily designed. Then, a backward state transformation problem is studied which allows us to reconstruct the original state vector of the system. Conditions for the existence of the state transformations and an algorithm for computing them are provided in this paper. We show that our approach works for a wider class of time-delay systems in the sense that when some existing state observer design methods fail to reconstruct the state vector, the proposed new change of coordinates and the observer scheme in this paper can still reconstruct the original state vector. Numerical examples and simulation results are given to illustrative the effectiveness of the proposed design approach.

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.

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