Designing observer-based controllers for PDE systems: A heat-conducting rod with point observation and boundary control

Aditya Gahlawat; Matthew M. Peet

doi:10.1109/CDC.2011.6161289

Designing observer-based controllers for PDE systems: A heat-conducting rod with point observation and boundary control

Aditya Gahlawat, Matthew M. Peet

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

9 Scopus citations

Abstract

In this paper, we propose a method to synthesize infinite-dimensional observer-based controllers for partial-differential systems. To illustrate the approach, we use a one-dimensional model of heat conduction with point observation and boundary control. Our method uses Sum-of-Squares optimization to solve linear operator inequalities in an infinite-dimensional Hilbert space. We use the semigroup framework and an operator version of the separation theorem and the Lyapunov inequality. We implement our method using SOSTOOLS and SeDuMi. We simulate the effects of our controller using Matlab.

Original language	English (US)
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6985-6990
Number of pages	6
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6161289
State	Published - 2011
Externally published	Yes
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: Dec 12 2011 → Dec 15 2011

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	12/12/11 → 12/15/11

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2011.6161289

Cite this

Gahlawat, A., & Peet, M. M. (2011). Designing observer-based controllers for PDE systems: A heat-conducting rod with point observation and boundary control. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 6985-6990). Article 6161289 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6161289

Designing observer-based controllers for PDE systems: A heat-conducting rod with point observation and boundary control. / Gahlawat, Aditya; Peet, Matthew M.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 6985-6990 6161289 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Gahlawat, A & Peet, MM 2011, Designing observer-based controllers for PDE systems: A heat-conducting rod with point observation and boundary control. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6161289, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 6985-6990, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6161289

Gahlawat A, Peet MM. Designing observer-based controllers for PDE systems: A heat-conducting rod with point observation and boundary control. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc. 2011. p. 6985-6990. 6161289. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2011.6161289

Gahlawat, Aditya ; Peet, Matthew M. / Designing observer-based controllers for PDE systems : A heat-conducting rod with point observation and boundary control. 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. pp. 6985-6990 (Proceedings of the IEEE Conference on Decision and Control).

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Designing observer-based controllers for PDE systems: A heat-conducting rod with point observation and boundary control

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