Robust delay-dependent stabilizing control of time-delay systems with state and input delays: Augmented L.K. functional approach
Küçük Resim Yok
Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
IFAC Secretariat
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we investigate the design problem of a stabilizing control for a class of linear uncertain time-delay systems with time-varying state and input delays. The control law is selected to be a state-feedback controller. Adopting to employ an augmented type of Lyapunov-Krasovskii functional, for the nominal case, we first derive some sufficient delay dependent stabilization criteria which can be solved using a convex optimization technique with interior-point algorithms. The stabilization synthesis is then extended to the case when the time-delay system is subject to the norm-bounded uncertainties which affect state and input matrices. Several numerical examples are presented to demonstrate the application of the proposed synthesis of a stabilizing controller. The numerical results on the maximum allowable delay bound and the uncertainty bound seem to be quite less conservative in comparison to the existing methods from the literature.
Açıklama
International Federation of Automatic Control (IFAC);Technical Committee on Control Design;Technical Committee on Linear Control Systems;Technical Committee on Networked Systems;Technical Committee on Nonlinear Systems;Technical Committee on Robust Control
9th IFAC Workshop on Time Delay Systems, TDS 2010 -- 7 June 2010 through 9 June 2010 -- Prague -- 94469
9th IFAC Workshop on Time Delay Systems, TDS 2010 -- 7 June 2010 through 9 June 2010 -- Prague -- 94469
Anahtar Kelimeler
Input Delay, Norm-Bounded Uncertainty, Stability, Stabilization, State Delay, Controllers, Convergence Of Numerical Methods, Convex Optimization, Lyapunov Functions, Nonlinear Control Systems, Numerical Methods, Stabilization, State Feedback, Time Delay, Timing Circuits, Convex Optimization Techniques, Delay-Dependent Stabilization, Input Delays, Lyapunov-Krasovskii Functionals, Maximum Allowable Delay Bound, Norm-Bounded Uncertainty, State Delay, Uncertain Time-Delay System, Delay Control Systems
Kaynak
IFAC Proceedings Volumes (IFAC-PapersOnline)
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
43
Sayı
2 PART 1
