A control design methodology for SISO linear time-delay systems

2020 ◽  
Author(s):  
Lei Zhang ◽  
Qingwei Chen ◽  
R. Ramjug-Ballgobin ◽  
R.T.F. Ah King ◽  
K. Busawon
Keyword(s):  
Time Delay ◽  
Design Methodology ◽  
Linear Time ◽  
Control Design ◽  
Delay Systems ◽  
Time Delay Systems

scholarly journals The revision and extension of the RMS ring for time delay systems

2017 ◽  
Vol 65 (3) ◽  
pp. 341-349 ◽  
Author(s):  
L. Pekař ◽  
R. Prokop
Keyword(s):  
Time Delay ◽  
Meromorphic Functions ◽  
Controller Design ◽  
Linear Time ◽  
Control Design ◽  
Design Tool ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Linear Time Invariant ◽  
Original Definition

AbstractThis paper is aimed at reviewing the ring of retarded quasipolynomial meromorphic functions (RMS) that was recently introduced as a convenient control design tool for linear, time-invariant time delay systems (TDS). It has been found by the authors that the original definition does not constitute a ring and has some essential deficiencies, and hence it could not be used for an algebraic control design without a thorough reformulation which i.a. extends the usability to neutral TDS and to those with distributed delays. This contribution summarizes the original definition of RMSsimply highlights its deficiencies via examples, and suggests a possible new extended definition. Hence, the new ring of quasipolynomial meromorphic functions RQMis established to avoid confusion. The paper also investigates and introduces selected algebraic properties supported by some illustrative examples and concisely outlines its use in controller design.

Stability radii of positive linear time-delay systems under fractional perturbations

2009 ◽  
Vol 58 (2) ◽  
pp. 155-159 ◽  
Author(s):  
Bui The Anh ◽  
Nguyen Khoa Son ◽  
Duong Dang Xuan Thanh
Keyword(s):  
Time Delay ◽  
Linear Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Stability Radii
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