Control of Delay Systems

Description

Recent research into linear time delay systems focuses on the design of so-called prediction-free controllers and observers. This work augments results employing a flatness-based control strategy for delay systems by eliminating the previously necessary predictions involved in the control laws. Instead, predicted quatities are explicitly calculated using distributed delays, i.e. convolutions with compact support, thereby substituting future values by delayed ones. This idea is also applicable to systems with distributed delays.

Using a module-theoretic framework, algebraic criteria corresponding to controllability properties for the existence of prediction-free controllers can be stated independently of any specific system representation, i.e. a set of delay-differental equations. The approach is basically a generalization of the so-called "reduction approach".

Publications

N. Gehring, J. Rudolph, and F. Woittennek, Controllability and prediction-free control of coupled transport processes viewed as linear systems with distributed delays, in: Proc. 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations, Paris, France, September 25-27, 2013, pp. 13-18, 2013.

F. Woittennek and J. Rudolph, Controller canonical forms and flatness based state feedback for 1D hyperbolic systems, in: Preproc. 7th MATHMOD, Vienna, Austria, February 15-17, 2012.

N. Gehring, J. Rudolph, and F. Woittennek, Prediction-free tracking control for systems with incommensurate lumped and distributed delays: Two examples, in: Proc. 10th IFAC Workshop on Time Delay Systems, Boston, USA, June 22-24, 2012, pp. 37-42, 2012. (Best Student Contribution Award in Theory)

N. Gehring, J. Rudolph, and F. Woittennek, Controllability properties and prediction-free control of linear systems with incommensurate delays, PAMM - Proc. in Appl. Mathem. and Mechanics, 11:809–810, 2011.

J. Rudolph and F. Woittennek, Flatness-based control without prediction: example of a vibrating string, PAMM - Proc. in Appl. Mathem. and Mechanics, 10:629-630, 2010.

Participants

Dr.-Ing. F. Woittennek (TU Dresden)

Contact person