Title
Exponential stabilization of linear systems with time-varying delayed state feedback via partial spectrum assignment.
Abstract
We consider the problem of controlling a linear system when the state is available with a known time-varying delay (delayed-state feedback control) or the actuator is affected by a delay. The solution proposed in this paper consists in partially assigning the spectrum of the closed-loop system to guarantee the exponential zero-state stability with a prescribed decay rate by means of a finite-dimensional control law. A non conservative bound on the maximum allowed delay for the prescribed decay rate is presented, which holds for both cases of constant and time-varying delays. An advantage over recent and similar approaches is that differentiability or continuity of the delay function is not required. We compare the performance of our approach, in terms of delay bound and input signal, with another recent approach.
Year
DOI
Venue
2014
10.1016/j.sysconle.2014.04.007
Systems & Control Letters
Keywords
Field
DocType
Feedback stabilization,Delay compensation,Linear time-delay systems
Mathematical optimization,Exponential function,Linear system,Control theory,Group delay and phase delay,Exponential stabilization,Differentiable function,Elmore delay,Mathematics,Actuator
Journal
Volume
ISSN
Citations 
69
0167-6911
9
PageRank 
References 
Authors
0.54
19
3
Name
Order
Citations
PageRank
F. Cacace1443106.96
A. Germani240152.47
C. Manes341845.66