TUTCRIS - Tampereen teknillinen yliopisto

TUTCRIS

Robust controllers for regular linear systems with infinite-dimensional exosystems

Tutkimustuotosvertaisarvioitu

Standard

Robust controllers for regular linear systems with infinite-dimensional exosystems. / Paunonen, Lassi.

julkaisussa: SIAM Journal on Control and Optimization, Vuosikerta 55, Nro 3, 2017, s. 1567-1597.

Tutkimustuotosvertaisarvioitu

Harvard

Paunonen, L 2017, 'Robust controllers for regular linear systems with infinite-dimensional exosystems', SIAM Journal on Control and Optimization, Vuosikerta. 55, Nro 3, Sivut 1567-1597. https://doi.org/10.1137/16M107181X

APA

Vancouver

Author

Paunonen, Lassi. / Robust controllers for regular linear systems with infinite-dimensional exosystems. Julkaisussa: SIAM Journal on Control and Optimization. 2017 ; Vuosikerta 55, Nro 3. Sivut 1567-1597.

Bibtex - Lataa

@article{bda1b6f5397e4205b15f877f22b201d1,
title = "Robust controllers for regular linear systems with infinite-dimensional exosystems",
abstract = "We construct two error feedback controllers for robust output tracking and disturbance rejection of a regular linear system with nonsmooth reference and disturbance signals. We show that for sufficiently smooth signals the output converges to the reference at a rate that depends on the behavior of the transfer function of the plant on the imaginary axis. In addition, we construct a controller that can be designed to achieve robustness with respect to a given class of uncertainties in the system, and we present a novel controller structure for output tracking and disturbance rejection without the robustness requirement. We also generalize the internal model principle for regular linear systems with boundary disturbance and for controllers with unbounded input and output operators. The construction of controllers is illustrated with an example where we consider output tracking of a nonsmooth periodic reference signal for a two-dimensional heat equation with boundary control and observation, and with periodic disturbances on the boundary.",
keywords = "Controller Design, Feedback, Regular Linear Systems, Robust Output Regulation, Stability",
author = "Lassi Paunonen",
year = "2017",
doi = "10.1137/16M107181X",
language = "English",
volume = "55",
pages = "1567--1597",
journal = "SIAM Journal on Control and Optimization",
issn = "0363-0129",
publisher = "Society for Industrial and Applied Mathematics",
number = "3",

}

RIS (suitable for import to EndNote) - Lataa

TY - JOUR

T1 - Robust controllers for regular linear systems with infinite-dimensional exosystems

AU - Paunonen, Lassi

PY - 2017

Y1 - 2017

N2 - We construct two error feedback controllers for robust output tracking and disturbance rejection of a regular linear system with nonsmooth reference and disturbance signals. We show that for sufficiently smooth signals the output converges to the reference at a rate that depends on the behavior of the transfer function of the plant on the imaginary axis. In addition, we construct a controller that can be designed to achieve robustness with respect to a given class of uncertainties in the system, and we present a novel controller structure for output tracking and disturbance rejection without the robustness requirement. We also generalize the internal model principle for regular linear systems with boundary disturbance and for controllers with unbounded input and output operators. The construction of controllers is illustrated with an example where we consider output tracking of a nonsmooth periodic reference signal for a two-dimensional heat equation with boundary control and observation, and with periodic disturbances on the boundary.

AB - We construct two error feedback controllers for robust output tracking and disturbance rejection of a regular linear system with nonsmooth reference and disturbance signals. We show that for sufficiently smooth signals the output converges to the reference at a rate that depends on the behavior of the transfer function of the plant on the imaginary axis. In addition, we construct a controller that can be designed to achieve robustness with respect to a given class of uncertainties in the system, and we present a novel controller structure for output tracking and disturbance rejection without the robustness requirement. We also generalize the internal model principle for regular linear systems with boundary disturbance and for controllers with unbounded input and output operators. The construction of controllers is illustrated with an example where we consider output tracking of a nonsmooth periodic reference signal for a two-dimensional heat equation with boundary control and observation, and with periodic disturbances on the boundary.

KW - Controller Design

KW - Feedback

KW - Regular Linear Systems

KW - Robust Output Regulation

KW - Stability

U2 - 10.1137/16M107181X

DO - 10.1137/16M107181X

M3 - Article

VL - 55

SP - 1567

EP - 1597

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

SN - 0363-0129

IS - 3

ER -