Toward a More Efficient Implementation of Distributed-Delay Elements

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

Standard

Toward a More Efficient Implementation of Distributed-Delay Elements. / Troeng, Olof; Mirkin, Leonid.

[Host publication title missing]. IEEE - Institute of Electrical and Electronics Engineers Inc., 2013. p. 294-299.

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

Harvard

Troeng, O & Mirkin, L 2013, Toward a More Efficient Implementation of Distributed-Delay Elements. in [Host publication title missing]. IEEE - Institute of Electrical and Electronics Engineers Inc., pp. 294-299, 52nd IEEE Conference on Decision and Control, 2013, Florence, Italy, 2013/12/10.

APA

Troeng, O., & Mirkin, L. (2013). Toward a More Efficient Implementation of Distributed-Delay Elements. In [Host publication title missing] (pp. 294-299). IEEE - Institute of Electrical and Electronics Engineers Inc..

CBE

Troeng O, Mirkin L. 2013. Toward a More Efficient Implementation of Distributed-Delay Elements. In [Host publication title missing]. IEEE - Institute of Electrical and Electronics Engineers Inc. pp. 294-299.

MLA

Troeng, Olof and Leonid Mirkin "Toward a More Efficient Implementation of Distributed-Delay Elements". [Host publication title missing]. IEEE - Institute of Electrical and Electronics Engineers Inc. 2013, 294-299.

Vancouver

Troeng O, Mirkin L. Toward a More Efficient Implementation of Distributed-Delay Elements. In [Host publication title missing]. IEEE - Institute of Electrical and Electronics Engineers Inc. 2013. p. 294-299

Author

Troeng, Olof ; Mirkin, Leonid. / Toward a More Efficient Implementation of Distributed-Delay Elements. [Host publication title missing]. IEEE - Institute of Electrical and Electronics Engineers Inc., 2013. pp. 294-299

RIS

TY - GEN

T1 - Toward a More Efficient Implementation of Distributed-Delay Elements

AU - Troeng, Olof

AU - Mirkin, Leonid

N1 - Conference code: 52

PY - 2013

Y1 - 2013

N2 - This note studies lumped-delay approximations of distributed-delay elements arising in various problems involving delay compensation or preview utilization. Several approaches to reduce implementation complexity, understood as the number of delays required to attain a required accuracy level, are put forward. First, we derive the H2-optimal coefficients for a given delay pattern. This can be seen as a problem-oriented alternative to traditionally used Newton-Cotes numerical integration rules. Second, we propose a computationally efficient method for finding the H2-optimal delay pattern, which uses dynamic programming on multistage graphs. Third, we propose a convex optimization approach, based on ℓ1 heuristics, of reducing the number of delays under hard bounds on the H∞-norm of the approximation error. Numerical simulations demonstrate efficiency of the proposed algorithms.

AB - This note studies lumped-delay approximations of distributed-delay elements arising in various problems involving delay compensation or preview utilization. Several approaches to reduce implementation complexity, understood as the number of delays required to attain a required accuracy level, are put forward. First, we derive the H2-optimal coefficients for a given delay pattern. This can be seen as a problem-oriented alternative to traditionally used Newton-Cotes numerical integration rules. Second, we propose a computationally efficient method for finding the H2-optimal delay pattern, which uses dynamic programming on multistage graphs. Third, we propose a convex optimization approach, based on ℓ1 heuristics, of reducing the number of delays under hard bounds on the H∞-norm of the approximation error. Numerical simulations demonstrate efficiency of the proposed algorithms.

KW - Numerical methods

KW - Time-delay systems

KW - Dead-time compensation

M3 - Paper in conference proceeding

SP - 294

EP - 299

BT - [Host publication title missing]

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - 52nd IEEE Conference on Decision and Control, 2013

Y2 - 10 December 2013 through 13 December 2013

ER -