Correction to the Unknown Input Observer Design for Linear Fractional-Order Time-Delay Systems & a New Enhanced LMI Condition

2018 ◽  
Vol 7 (1) ◽  
pp. 73-79
Author(s):  
Y. Boukal ◽  
M. Darouach ◽  
M. Zasadzinski ◽  
N.E. Radhy
2015 ◽  
Vol 4 (2) ◽  
pp. 117-130 ◽  
Author(s):  
Y. Boukal ◽  
M. Darouach ◽  
M. Zasadzinski ◽  
N.E. Radhy

2006 ◽  
Vol 17 (3) ◽  
pp. 606-610 ◽  
Author(s):  
Fu Yanming ◽  
Wu Di ◽  
Zhang Peng ◽  
Duan Guangren

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Seifeddine Ben Warrad ◽  
Olfa Boubaker ◽  
Mihai Lungu ◽  
Saleh Mobayen

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.


2018 ◽  
Vol 41 (2) ◽  
pp. 378-391 ◽  
Author(s):  
Hieu Trinh ◽  
Dinh Cong Huong ◽  
Saeid Nahavandi

This paper considers the problem of designing positive reduced-order distributed functional observers for positive fractional-order interconnected time-delay systems. The systems under consideration belong to a class of large-scale fractional-order systems where each system is formed by [Formula: see text] ([Formula: see text]) interconnected subsystems with heterogeneous time delays in the interconnections and the local state vectors. First, a necessary and sufficient condition to ensure the positivity of the considered system is derived. Based on this result, [Formula: see text] stand-alone reduced-order positive distributed functional observers for the system are designed. These observers are always nonnegative at any time and they converge asymptotically to the true functional state vectors of the system. The designed observer for each subsystem is based on the local outputs and additional outputs from other subsystems but without the need to exchange the state estimates among the observers. Conditions for the existence of such positive distributed functional observers are derived and they are translated into a linear programming problem. Finally, the effectiveness of the proposed design method is supported by four numerical examples and simulation results.


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