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 proceedingConference contribution

8 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 languageEnglish (US)
Title of host publication2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Pages6985-6990
Number of pages6
DOIs
StatePublished - Dec 1 2011
Externally publishedYes
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: Dec 12 2011Dec 15 2011

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
CountryUnited States
CityOrlando, FL
Period12/12/1112/15/11

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Fingerprint Dive into the research topics of 'Designing observer-based controllers for PDE systems: A heat-conducting rod with point observation and boundary control'. Together they form a unique fingerprint.

  • 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). [6161289] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2011.6161289