Algebraic tools for the control and stabilization of time-delay systems

JJ Loiseau - Annual Reviews in Control, 2000 - Elsevier
A lot of distributed systems have a transfer function which is rational in the variables s and
e− θs. Effective procedures for their control are based on the factorization of the transfer …

Flatness-based control of nonlinear delay systems: A chemical reactor example

H Mounier, J Rudolph - International Journal of Control, 1998 - Taylor & Francis
A trajectory tracking control method for a class of non-linear systems with time delays is
proposed. For this, the new concept of delta-flatness is introduced, which is an extension of …

Sliding mode control in the presence of delay

JP Richard, F Gouaisbaut, W Perruquetti - Kybernetika, 2001 - dml.cz
This paper provides an overview of recent results for relay-delay systems. In a first section,
simple examples illustrate the problems induced by delays in the synthesis of sliding mode …

An effective algorithm for finite spectrum assignment of single-input systems with delays

D Brethé, JJ Loiseau - Mathematics and Computers in Simulation, 1998 - Elsevier
In this paper, we consider the problem of assigning, by state feedback, a finite spectrum to a
single-input system with commensurate point delays. It is well-known that spectral …

Controller canonical forms and flatness based state feedback for 1D hyperbolic systems

F Woittennek, J Rudolph - IFAC Proceedings Volumes, 2012 - Elsevier
Flatness based analysis and closed loop control design for networks of hyperbolic pde's is
considered. To this end a state space description is assigned to the flatness based …

Controllability of networks of spatially one-dimensional second order PDEs—an algebraic approach

F Woittennek, H Mounier - SIAM Journal on Control and Optimization, 2010 - SIAM
We discuss controllability of systems that are initially given by boundary coupled PDEs of
second order. These systems may be described by modules over particular rings of …

Over one century of spectrum analysis in delay systems: an overview and new trends in pole placement methods

A Benarab, I Boussaada, SI Niculescu, K Trabelsi - IFAC-PapersOnLine, 2022 - Elsevier
Pole placement represents a classical method for controlling finite-dimensional linear time-
invariant systems, largely covered in the open literature. Basically, it consists of placing the …

On flatness and controllability of simple hyperbolic distributed parameter systems

F Woittennek - IFAC Proceedings Volumes, 2011 - Elsevier
A flatness based approach to the analysis of state controllability of systems described by one
or more boundary coupled 1D hyperbolic second order equations is proposed. To this end …

Boundary value problems and convolutional systems over rings of ultradistributions

H Mounier, J Rudolph, F Woittennek - Advances in the Theory of Control …, 2010 - Springer
One dimensional boundary value problems with lumped controls are considered. Such
systems can be modeled as modules over a ring of Beurling ultradistributions with compact …

Implementation of a distributed control law for a class of systems with delay

V Van Assche, M Dambrine, JF Lafay… - IFAC Proceedings …, 2001 - Elsevier
The use of distributed delays in the control law of time-delay systems has been proposed by
several authors. The implementation of such controllers is not trivial, and recent publication …