Dominant Spectrum Assignment For Neutral Time Delay Systems: A Study Case

2016 ◽  
Author(s):  
Libor Pekar ◽  
Roman Prokop
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Spectrum Assignment ◽  
Study Case

scholarly journals Quasipolynomial Approach to Simultaneous Robust Control of Time-Delay Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Nikolaj Semenič ◽  
Andrej Sarjaš ◽  
Amor Chowdhury ◽  
Rajko Svečko
Keyword(s):  
Time Delay ◽  
Closed Loop ◽  
Algebraic Method ◽  
Delay Systems ◽  
Control Law ◽  
Time Delay Systems ◽  
Robust Performance ◽  
Simultaneous Stabilization ◽  
Retarded Time ◽  
Spectrum Assignment

A control law for retarded time-delay systems is considered, concerning infinite closed-loop spectrum assignment. An algebraic method for spectrum assignment is presented with a unique optimization algorithm for minimization of spectral abscissa and effective shaping of the chains of infinitely many closed-loop poles. Uncertainty of plant delays of a certain structure is considered in a sense of a robust simultaneous stabilization. Robust performance is achieved using mixed sensitivity design, which is incorporated into the addressed control law.

scholarly journals On pole-placement controllers for linear time-delay systems with commensurate point delays

2005 ◽  
Vol 2005 (1) ◽  
pp. 123-140 ◽  
Author(s):  
M. de la Sen
Keyword(s):  
Time Delay ◽  
Robust Stability ◽  
Diophantine Equations ◽  
Linear Time ◽  
Pole Placement ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Spectrum Assignment ◽  
Delay Dependent ◽  
Point Delays

We investigate the exact and approximate spectrum assignment properties associated with realizable output-feedback pole-placement-type controllers for single-input single-output linear time-invariant time-delay systems with commensurate point delays. The controller synthesis problem is discussed through the solvability of a set of coupled Diophantine equations of polynomials. An extra complexity is incorporated in the above design to cancel extra unsuitable dynamics being generated when solving the above Diophantine equations. Thus, the complete controller tracks any arbitrary prefixed (either finite or delay-dependent) closed-loop spectrum. However, if the controller is simplified by deleting the above-mentioned extra complexity, then robust stability and approximated spectrum assignment are still achievable for a certain sufficiently small amount of delayed dynamics. Finally, the approximate spectrum assignment and robust stability problems are revisited under plant disturbances if the nominal controller is maintained. In the current approach, the finite spectrum assignment is only considered as a particular case of the designer's choice of a (delay-dependent) arbitrary spectrum assignment objective.

scholarly journals Finite-Spectrum Assignment for Time-Delay Systems

1999 ◽  
Author(s):  
Qing-Guo Wang ◽  
Tong Heng Lee ◽  
Kok Kiong Tan
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Finite Spectrum ◽  
Spectrum Assignment
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