Dynamical feedback compensator for uncertain time-delay systems containing saturating actuator

Abstract

The problem of the stabilization of an uncertain time-delay system with a saturating actuator is discussed. These uncertainties may be linear, non-linear, and/or timevarying, but only the upper bounds are known. A linear dynamical feedback compensator is used to stabilize this uncertain saturating and time-delay system. The concept of matrix measure and the comparison theory are employed to investigate the robust stability condition which assures asymptotic stability. One example is given to illustrate the application of the proposed design method.

Saturating composite disturbance-observer-based control and H ∞ control for discrete time-delay systems with nonlinearity

“…Moreover, failure in accounting for actuator saturation may lead to severe deterioration of closed loop system performance, even to instability. Recently, the stabilization of time-delay systems with saturating control was investigated in [22,23]. In [22], a linear dynamic output feedback compensator is designed.…”

“…Recently, the stabilization of time-delay systems with saturating control was investigated in [22,23]. In [22], a linear dynamic output feedback compensator is designed. In [23], the global stabilization of observer-based linear constrained uncertain time delay systems is considered.…”

Robust dynamic compensator for a class of time delay systems containing saturating control input

“…Recently, the stabilization of time delay systems with saturating actuators was investigated in [13,14]. In [13], a linear dynamic output feedback compensator is designed.…”

“…In [13], a linear dynamic output feedback compensator is designed. However, no conditions to guarantee the existence of such compensator are given.…”

A Robust Control of a Dynamic Beam Structure With Time Delay Effect

“…Several linear state feedback controllers have been proposed by Su [5], Chou [6] and Shen [7]. The fundamental designs are based on (1) pole placement approach, (2) Lyapunov approach, and (3) linear quadratic regulator approach.…”